MinT - Best Known (51−13, 51, s)-Nets in Base 256

Best Known (51−13, 51, s)-Nets in Base 256

(51−13, 51, 1463892)-Net over F₂₅₆ — Constructive and digital

Digital (38, 51, 1463892)-net over F₂₅₆, using

(u,Â u+v)-construction [i] based on
1. digital (8, 14, 65792)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256¹⁴, 65792, F₂₅₆, 6, 6) (dual of [(65792, 6), 394738, 7]-NRT-code), using
    - appending kth column [i] based on linear OOA(256¹⁴, 65792, F₂₅₆, 5, 6) (dual of [(65792, 5), 328946, 7]-NRT-code), using
      - generalized (u,Â u+v)-construction [i] based on
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁰, s, F₂₅₆, 5, 0) with arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 5, 0) (dual of [(257, 5), 1285, 1]-NRT-code) (see above)
        linear OOA(256¹, 257, F₂₅₆, 5, 1) (dual of [(257, 5), 1284, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256¹, s, F₂₅₆, 5, 1) with arbitrarily large s, using
        appending 4 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, 5, 1) (dual of [(257, 5), 1284, 2]-NRT-code) (see above)
        linear OOA(256¹, 257, F₂₅₆, 5, 1) (dual of [(257, 5), 1284, 2]-NRT-code) (see above)
        linear OOA(256², 257, F₂₅₆, 5, 2) (dual of [(257, 5), 1283, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(5;1283,256) [i]
        linear OOA(256³, 257, F₂₅₆, 5, 3) (dual of [(257, 5), 1282, 4]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(5;1282,256) [i]
        linear OOA(256⁶, 257, F₂₅₆, 5, 6) (dual of [(257, 5), 1279, 7]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(5;1279,256) [i]
2. digital (24, 37, 1398100)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256³⁷, 1398100, F₂₅₆, 13, 13) (dual of [(1398100, 13), 18175263, 14]-NRT-code), using
    - OOA 6-folding and stacking with additional row [i] based on linear OA(256³⁷, 8388601, F₂₅₆, 13) (dual of [8388601, 8388564, 14]-code), using
      - discarding factors / shortening the dual code based on linear OA(256³⁷, large, F₂₅₆, 13) (dual of [large, large−37, 14]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [i]

(51−13, 51, large)-Net over F₂₅₆ — Digital

Digital (38, 51, large)-net over F₂₅₆, using

4 times m-reduction [i] based on digital (38, 55, large)-net over F₂₅₆, using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(256⁵⁵, large, F₂₅₆, 17) (dual of [large, large−55, 18]-code), using
  - strength reduction [i] based on linear OA(256⁵⁵, large, F₂₅₆, 19) (dual of [large, large−55, 20]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [i]

(51−13, 51, large)-Net in Base 256 — Upper bound on s

There is no (38, 51, large)-net in base 256, because

11 times m-reduction [i] would yield (38, 40, large)-net in base 256, but
- mutually orthogonal hypercube bound [i]

Best Known (51−13, 51, s)-Nets in Base 256

(51−13, 51, 1463892)-Net over F256 — Constructive and digital

(51−13, 51, large)-Net over F256 — Digital

(51−13, 51, large)-Net in Base 256 — Upper bound on s

(51−13, 51, 1463892)-Net over F₂₅₆ — Constructive and digital

(51−13, 51, large)-Net over F₂₅₆ — Digital