MinT - Best Known (41−11, 41, s)-Nets in Base 256

Best Known (41−11, 41, s)-Nets in Base 256

(41−11, 41, 1743512)-Net over F₂₅₆ — Constructive and digital

Digital (30, 41, 1743512)-net over F₂₅₆, using

(u,Â u+v)-construction [i] based on
1. digital (5, 10, 65792)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256¹⁰, 65792, F₂₅₆, 5, 5) (dual of [(65792, 5), 328950, 6]-NRT-code), using
    - appending kth column [i] based on linear OOA(256¹⁰, 65792, F₂₅₆, 4, 5) (dual of [(65792, 4), 263158, 6]-NRT-code), using
      - generalized (u,Â u+v)-construction [i] based on
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 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, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 4, 0) (dual of [(257, 4), 1028, 1]-NRT-code) (see above)
        linear OOA(256¹, 257, F₂₅₆, 4, 1) (dual of [(257, 4), 1027, 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, 257, F₂₅₆, 4, 1) (dual of [(257, 4), 1027, 2]-NRT-code) (see above)
        linear OOA(256¹, 257, F₂₅₆, 4, 1) (dual of [(257, 4), 1027, 2]-NRT-code) (see above)
        linear OOA(256², 257, F₂₅₆, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(4;1026,256) [i]
        linear OOA(256⁵, 257, F₂₅₆, 4, 5) (dual of [(257, 4), 1023, 6]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(4;1023,256) [i]
2. 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]

(41−11, 41, large)-Net over F₂₅₆ — Digital

Digital (30, 41, large)-net over F₂₅₆, using

3 times m-reduction [i] based on digital (30, 44, large)-net over F₂₅₆, using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(256⁴⁴, large, F₂₅₆, 14) (dual of [large, large−44, 15]-code), using
  - 4 times code embedding in larger space [i] based on linear OA(256⁴⁰, large, F₂₅₆, 14) (dual of [large, large−40, 15]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

(41−11, 41, large)-Net in Base 256 — Upper bound on s

There is no (30, 41, large)-net in base 256, because

9 times m-reduction [i] would yield (30, 32, large)-net in base 256, but
- mutually orthogonal hypercube bound [i]

Best Known (41−11, 41, s)-Nets in Base 256

(41−11, 41, 1743512)-Net over F256 — Constructive and digital

(41−11, 41, large)-Net over F256 — Digital

(41−11, 41, large)-Net in Base 256 — Upper bound on s

(41−11, 41, 1743512)-Net over F₂₅₆ — Constructive and digital

(41−11, 41, large)-Net over F₂₅₆ — Digital