MinT - Best Known (114−12, 114, s)-Nets in Base 16

Best Known (114−12, 114, s)-Nets in Base 16

(114−12, 114, 5658192)-Net over F₁₆ — Constructive and digital

Digital (102, 114, 5658192)-net over F₁₆, using

generalized (u,Â u+v)-construction [i] based on
1. digital (11, 15, 65792)-net over F₁₆, using
  - base reduction for projective spaces (embedding PG(7,256) in PG(14,16)) for nets [i] based on digital (4, 8, 65792)-net over F₂₅₆, using
    - net defined by OOA [i] based on linear OOA(256⁸, 65792, F₂₅₆, 4, 4) (dual of [(65792, 4), 263160, 5]-NRT-code), using
      - appending kth column [i] based on linear OOA(256⁸, 65792, F₂₅₆, 3, 4) (dual of [(65792, 3), 197368, 5]-NRT-code), using
        generalized (u,Â u+v)-construction [i] based on
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁰, s, F₂₅₆, 3, 0) with arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256⁰, 257, F₂₅₆, 3, 0) (dual of [(257, 3), 771, 1]-NRT-code) (see above)
        linear OOA(256¹, 257, F₂₅₆, 3, 1) (dual of [(257, 3), 770, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256¹, s, F₂₅₆, 3, 1) with arbitrarily large s, using
        appending 2 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, 3, 1) (dual of [(257, 3), 770, 2]-NRT-code) (see above)
        linear OOA(256², 257, F₂₅₆, 3, 2) (dual of [(257, 3), 769, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(3;769,256) [i]
        linear OOA(256⁴, 257, F₂₅₆, 3, 4) (dual of [(257, 3), 767, 5]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(3;767,256) [i]
2. digital (25, 31, 2796200)-net over F₁₆, using
  - s-reduction based on digital (25, 31, 2796201)-net over F₁₆, using
    - net defined by OOA [i] based on linear OOA(16³¹, 2796201, F₁₆, 6, 6) (dual of [(2796201, 6), 16777175, 7]-NRT-code), using
      - OA 3-folding and stacking [i] based on linear OA(16³¹, large, F₁₆, 6) (dual of [large, large−31, 7]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 16⁶âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
3. digital (56, 68, 2796200)-net over F₁₆, using
  - net defined by OOA [i] based on linear OOA(16⁶⁸, 2796200, F₁₆, 14, 12) (dual of [(2796200, 14), 39146732, 13]-NRT-code), using
    - OOA 3-folding and stacking with additional row [i] based on linear OOA(16⁶⁸, 8388601, F₁₆, 2, 12) (dual of [(8388601, 2), 16777134, 13]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(16⁶⁸, 8388602, F₁₆, 2, 12) (dual of [(8388602, 2), 16777136, 13]-NRT-code), using
        trace code [i] based on linear OOA(256³⁴, 4194301, F₂₅₆, 2, 12) (dual of [(4194301, 2), 8388568, 13]-NRT-code), using
        OOA 2-folding [i] based on linear OA(256³⁴, 8388602, F₂₅₆, 12) (dual of [8388602, 8388568, 13]-code), using
        discarding factors / shortening the dual code based on linear OA(256³⁴, large, F₂₅₆, 12) (dual of [large, large−34, 13]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

(114−12, 114, large)-Net over F₁₆ — Digital

Digital (102, 114, large)-net over F₁₆, using

t-expansion [i] based on digital (99, 114, large)-net over F₁₆, using
- 7 times m-reduction [i] based on digital (99, 121, large)-net over F₁₆, using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(16¹²¹, large, F₁₆, 22) (dual of [large, large−121, 23]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 16⁶âˆ’1, defining interval IÂ =Â [0,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 23 [i]

(114−12, 114, large)-Net in Base 16 — Upper bound on s

There is no (102, 114, large)-net in base 16, because

10 times m-reduction [i] would yield (102, 104, large)-net in base 16, but
- mutually orthogonal hypercube bound [i]

Best Known (114−12, 114, s)-Nets in Base 16

(114−12, 114, 5658192)-Net over F16 — Constructive and digital

(114−12, 114, large)-Net over F16 — Digital

(114−12, 114, large)-Net in Base 16 — Upper bound on s

(114−12, 114, 5658192)-Net over F₁₆ — Constructive and digital

(114−12, 114, large)-Net over F₁₆ — Digital