MinT - Best Known (56−11, 56, s)-Nets in Base 128

Best Known (56−11, 56, s)-Nets in Base 128

(56−11, 56, 2734616)-Net over F₁₂₈ — Constructive and digital

Digital (45, 56, 2734616)-net over F₁₂₈, using

(u,Â u+v)-construction [i] based on
1. digital (10, 15, 1056896)-net over F₁₂₈, using
  - net defined by OOA [i] based on linear OOA(128¹⁵, 1056896, F₁₂₈, 5, 5) (dual of [(1056896, 5), 5284465, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(128¹⁵, 1056896, F₁₂₈, 4, 5) (dual of [(1056896, 4), 4227569, 6]-NRT-code), using
      - generalized (u,Â u+v)-construction [i] based on
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(128⁰, s, F₁₂₈, 4, 0) with arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128⁰, 8257, F₁₂₈, 4, 0) (dual of [(8257, 4), 33028, 1]-NRT-code) (see above)
        linear OOA(128¹, 8257, F₁₂₈, 4, 1) (dual of [(8257, 4), 33027, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(128¹, s, F₁₂₈, 4, 1) with arbitrarily large s, using
        appending 3 arbitrary columns [i] based on linear OA(128¹, s, F₁₂₈, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s, using
        parity-check code [i]
        linear OOA(128¹, 8257, F₁₂₈, 4, 1) (dual of [(8257, 4), 33027, 2]-NRT-code) (see above)
        linear OOA(128¹, 8257, F₁₂₈, 4, 1) (dual of [(8257, 4), 33027, 2]-NRT-code) (see above)
        linear OOA(128³, 8257, F₁₂₈, 4, 2) (dual of [(8257, 4), 33025, 3]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(128³, 16513, F₁₂₈, 4, 2) (dual of [(16513, 4), 66049, 3]-NRT-code), using
        appending 2 arbitrary columns [i] based on linear OOA(128³, 16513, F₁₂₈, 2, 2) (dual of [(16513, 2), 33023, 3]-NRT-code), using
        appending kth column [i] based on linear OA(128³, 16513, F₁₂₈, 2) (dual of [16513, 16510, 3]-code), using
        Hamming code H(3,128) [i]
        linear OOA(128⁹, 8257, F₁₂₈, 4, 5) (dual of [(8257, 4), 33019, 6]-NRT-code), using
        (u,Â u+v)-construction [i] based on
        linear OOA(128², 129, F₁₂₈, 4, 2) (dual of [(129, 4), 514, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(4;514,128) [i]
        linear OOA(128⁷, 8128, F₁₂₈, 4, 5) (dual of [(8128, 4), 32505, 6]-NRT-code), using
        OOA 2-folding and stacking with additional row [i] based on linear OA(128⁷, 16257, F₁₂₈, 5) (dual of [16257, 16250, 6]-code), using
        a code by Danev and Olsson [i]
2. digital (30, 41, 1677720)-net over F₁₂₈, using
  - net defined by OOA [i] based on linear OOA(128⁴¹, 1677720, F₁₂₈, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OA(128⁴¹, 8388601, F₁₂₈, 11) (dual of [8388601, 8388560, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(128⁴¹, large, F₁₂₈, 11) (dual of [large, large−41, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 15790321Â | 128⁸âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [i]

(56−11, 56, 3486777)-Net in Base 128 — Constructive

(45, 56, 3486777)-net in base 128, using

base change [i] based on digital (38, 49, 3486777)-net over F₂₅₆, using
- generalized (u,Â u+v)-construction [i] based on
  1. digital (2, 5, 131337)-net over F₂₅₆, using
    - net defined by OOA [i] based on linear OOA(256⁵, 131337, F₂₅₆, 3, 3) (dual of [(131337, 3), 394006, 4]-NRT-code), using
      - appending kth column [i] based on linear OOA(256⁵, 131337, F₂₅₆, 2, 3) (dual of [(131337, 2), 262669, 4]-NRT-code), using
        OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁵, 131337, F₂₅₆, 3) (dual of [131337, 131332, 4]-code or 131337-cap in PG(4,256)), using
        large caps in PG(4,Â b) [i]
  2. digital (8, 13, 1677720)-net over F₂₅₆, using
    - s-reduction based on digital (8, 13, 8355840)-net over F₂₅₆, using
      - net defined by OOA [i] based on linear OOA(256¹³, 8355840, F₂₅₆, 5, 5) (dual of [(8355840, 5), 41779187, 6]-NRT-code), using
        appending kth column [i] based on linear OOA(256¹³, 8355840, F₂₅₆, 4, 5) (dual of [(8355840, 4), 33423347, 6]-NRT-code), using
        generalized (u,Â u+v)-construction [i] based on
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁰, s, F₂₅₆, 4, 0) with arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256⁰, 32640, F₂₅₆, 4, 0) (dual of [(32640, 4), 130560, 1]-NRT-code) (see above)
        linear OOA(256¹, 32640, F₂₅₆, 4, 1) (dual of [(32640, 4), 130559, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256¹, s, F₂₅₆, 4, 1) with arbitrarily large s, using
        appending 3 arbitrary columns [i] based on linear OA(256¹, s, F₂₅₆, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s, using
        parity-check code [i]
        linear OOA(256¹, 32640, F₂₅₆, 4, 1) (dual of [(32640, 4), 130559, 2]-NRT-code) (see above)
        linear OOA(256¹, 32640, F₂₅₆, 4, 1) (dual of [(32640, 4), 130559, 2]-NRT-code) (see above)
        linear OOA(256³, 32640, F₂₅₆, 4, 2) (dual of [(32640, 4), 130557, 3]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256³, 65793, F₂₅₆, 4, 2) (dual of [(65793, 4), 263169, 3]-NRT-code), using
        appending 2 arbitrary columns [i] based on linear OOA(256³, 65793, F₂₅₆, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
        appending kth column [i] based on linear OA(256³, 65793, F₂₅₆, 2) (dual of [65793, 65790, 3]-code), using
        Hamming code H(3,256) [i]
        linear OOA(256⁷, 32640, F₂₅₆, 4, 5) (dual of [(32640, 4), 130553, 6]-NRT-code), using
        OOA 2-folding and stacking with additional row [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
  3. digital (20, 31, 1677720)-net over F₂₅₆, using
    - net defined by OOA [i] based on linear OOA(256³¹, 1677720, F₂₅₆, 11, 11) (dual of [(1677720, 11), 18454889, 12]-NRT-code), using
      - OOA 5-folding and stacking with additional row [i] based on linear OA(256³¹, 8388601, F₂₅₆, 11) (dual of [8388601, 8388570, 12]-code), using
        discarding factors / shortening the dual code based on linear OA(256³¹, large, F₂₅₆, 11) (dual of [large, large−31, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

(56−11, 56, large)-Net over F₁₂₈ — Digital

Digital (45, 56, large)-net over F₁₂₈, using

t-expansion [i] based on digital (43, 56, large)-net over F₁₂₈, using
- 3 times m-reduction [i] based on digital (43, 59, large)-net over F₁₂₈, using
  - Gilbertâ€“VarÅ¡amov bound [i]

(56−11, 56, large)-Net in Base 128 — Upper bound on s

There is no (45, 56, large)-net in base 128, because

9 times m-reduction [i] would yield (45, 47, large)-net in base 128, but
- mutually orthogonal hypercube bound [i]

Best Known (56−11, 56, s)-Nets in Base 128

(56−11, 56, 2734616)-Net over F128 — Constructive and digital

(56−11, 56, 3486777)-Net in Base 128 — Constructive

(56−11, 56, large)-Net over F128 — Digital

(56−11, 56, large)-Net in Base 128 — Upper bound on s

(56−11, 56, 2734616)-Net over F₁₂₈ — Constructive and digital

(56−11, 56, large)-Net over F₁₂₈ — Digital