MinT - Best Known (46, 46+15, s)-Nets in Base 256

Best Known (46, 46+15, s)-Nets in Base 256

(46, 46+15, 1264165)-Net over F₂₅₆ — Constructive and digital

Digital (46, 61, 1264165)-net over F₂₅₆, using

(u,Â u+v)-construction [i] based on
1. digital (11, 18, 65794)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256¹⁸, 65794, F₂₅₆, 7, 7) (dual of [(65794, 7), 460540, 8]-NRT-code), using
    - appending kth column [i] based on linear OOA(256¹⁸, 65794, F₂₅₆, 6, 7) (dual of [(65794, 6), 394746, 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(256⁴, 258, F₂₅₆, 6, 3) (dual of [(258, 6), 1544, 4]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁴, 65537, F₂₅₆, 6, 3) (dual of [(65537, 6), 393218, 4]-NRT-code), using
        appending 3 arbitrary columns [i] based on linear OOA(256⁴, 65537, F₂₅₆, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
        appending kth column [i] based on linear OOA(256⁴, 65537, F₂₅₆, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
        OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁴, 65537, F₂₅₆, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using
        ovoid in PG(3,Â 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 (28, 43, 1198371)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256⁴³, 1198371, F₂₅₆, 15, 15) (dual of [(1198371, 15), 17975522, 16]-NRT-code), using
    - OOA 7-folding and stacking with additional row [i] based on linear OA(256⁴³, 8388598, F₂₅₆, 15) (dual of [8388598, 8388555, 16]-code), using
      - discarding factors / shortening the dual code based on linear OA(256⁴³, large, F₂₅₆, 15) (dual of [large, large−43, 16]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

(46, 46+15, large)-Net over F₂₅₆ — Digital

Digital (46, 61, large)-net over F₂₅₆, using

t-expansion [i] based on digital (45, 61, large)-net over F₂₅₆, using
- 4 times m-reduction [i] based on digital (45, 65, large)-net over F₂₅₆, using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(256⁶⁵, large, F₂₅₆, 20) (dual of [large, large−65, 21]-code), using
    - 7 times code embedding in larger space [i] based on linear OA(256⁵⁸, large, F₂₅₆, 20) (dual of [large, large−58, 21]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [i]

(46, 46+15, large)-Net in Base 256 — Upper bound on s

There is no (46, 61, large)-net in base 256, because

13 times m-reduction [i] would yield (46, 48, large)-net in base 256, but
- mutually orthogonal hypercube bound [i]

Best Known (46, 46+15, s)-Nets in Base 256

(46, 46+15, 1264165)-Net over F256 — Constructive and digital

(46, 46+15, large)-Net over F256 — Digital

(46, 46+15, large)-Net in Base 256 — Upper bound on s

(46, 46+15, 1264165)-Net over F₂₅₆ — Constructive and digital

(46, 46+15, large)-Net over F₂₅₆ — Digital