MinT - Best Known (57−14, 57, s)-Nets in Base 256

Best Known (57−14, 57, s)-Nets in Base 256

(57−14, 57, 1264164)-Net over F₂₅₆ — Constructive and digital

Digital (43, 57, 1264164)-net over F₂₅₆, using

(u,Â u+v)-construction [i] based on
1. digital (10, 17, 65793)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256¹⁷, 65793, F₂₅₆, 7, 7) (dual of [(65793, 7), 460534, 8]-NRT-code), using
    - appending kth column [i] based on linear OOA(256¹⁷, 65793, F₂₅₆, 6, 7) (dual of [(65793, 6), 394741, 8]-NRT-code), using
      - generalized (u,Â u+v)-construction [i] based on
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁰, s, F₂₅₆, 6, 0) with arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 6, 0) (dual of [(257, 6), 1542, 1]-NRT-code) (see above)
        linear OOA(256¹, 257, F₂₅₆, 6, 1) (dual of [(257, 6), 1541, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256¹, s, F₂₅₆, 6, 1) with arbitrarily large s, using
        appending 5 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, 6, 1) (dual of [(257, 6), 1541, 2]-NRT-code) (see above)
        linear OOA(256¹, 257, F₂₅₆, 6, 1) (dual of [(257, 6), 1541, 2]-NRT-code) (see above)
        linear OOA(256¹, 257, F₂₅₆, 6, 1) (dual of [(257, 6), 1541, 2]-NRT-code) (see above)
        linear OOA(256², 257, F₂₅₆, 6, 2) (dual of [(257, 6), 1540, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(6;1540,256) [i]
        linear OOA(256³, 257, F₂₅₆, 6, 3) (dual of [(257, 6), 1539, 4]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(6;1539,256) [i]
        linear OOA(256⁸, 258, F₂₅₆, 6, 7) (dual of [(258, 6), 1540, 8]-NRT-code), using
        extracting embedded OOA [i] based on digital (1, 8, 258)-net over F₂₅₆, using
        net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
2. digital (26, 40, 1198371)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256⁴⁰, 1198371, F₂₅₆, 14, 14) (dual of [(1198371, 14), 16777154, 15]-NRT-code), using
    - OA 7-folding and stacking [i] based on linear OA(256⁴⁰, 8388597, F₂₅₆, 14) (dual of [8388597, 8388557, 15]-code), using
      - discarding factors / shortening the dual code 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]

(57−14, 57, large)-Net over F₂₅₆ — Digital

Digital (43, 57, large)-net over F₂₅₆, using

t-expansion [i] based on digital (42, 57, large)-net over F₂₅₆, using
- 4 times m-reduction [i] based on digital (42, 61, large)-net over F₂₅₆, using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(256⁶¹, large, F₂₅₆, 19) (dual of [large, large−61, 20]-code), using
    - strength reduction [i] based on linear OA(256⁶¹, large, F₂₅₆, 21) (dual of [large, large−61, 22]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]

(57−14, 57, large)-Net in Base 256 — Upper bound on s

There is no (43, 57, large)-net in base 256, because

12 times m-reduction [i] would yield (43, 45, large)-net in base 256, but
- mutually orthogonal hypercube bound [i]

Best Known (57−14, 57, s)-Nets in Base 256

(57−14, 57, 1264164)-Net over F256 — Constructive and digital

(57−14, 57, large)-Net over F256 — Digital

(57−14, 57, large)-Net in Base 256 — Upper bound on s

(57−14, 57, 1264164)-Net over F₂₅₆ — Constructive and digital

(57−14, 57, large)-Net over F₂₅₆ — Digital