MinT - Best Known (51−7, 51, s)-Nets in Base 16

Best Known (51−7, 51, s)-Nets in Base 16

(51−7, 51, large)-Net over F₁₆ — Constructive and digital

Digital (44, 51, large)-net over F₁₆, using

16³ times duplication [i] based on digital (41, 48, large)-net over F₁₆, using
- trace code for nets [i] based on digital (17, 24, 5592575)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256²⁴, 5592575, F₂₅₆, 7, 7) (dual of [(5592575, 7), 39148001, 8]-NRT-code), using
    - appending kth column [i] based on linear OOA(256²⁴, 5592575, F₂₅₆, 6, 7) (dual of [(5592575, 6), 33555426, 8]-NRT-code), using
      - OOA stacking with additional row [i] based on linear OOA(256²⁴, 5592576, F₂₅₆, 3, 7) (dual of [(5592576, 3), 16777704, 8]-NRT-code), using
        generalized (u,Â u+v)-construction [i] based on
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 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, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 3, 0) (dual of [(21846, 3), 65538, 1]-NRT-code) (see above)
        linear OOA(256¹, 21846, F₂₅₆, 3, 1) (dual of [(21846, 3), 65537, 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, 21846, F₂₅₆, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code) (see above)
        linear OOA(256¹, 21846, F₂₅₆, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code) (see above)
        linear OOA(256¹, 21846, F₂₅₆, 3, 1) (dual of [(21846, 3), 65537, 2]-NRT-code) (see above)
        linear OOA(256³, 21846, F₂₅₆, 3, 2) (dual of [(21846, 3), 65535, 3]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256³, 65793, F₂₅₆, 3, 2) (dual of [(65793, 3), 197376, 3]-NRT-code), using
        appending 1 arbitrary column [i] based on linear OOA(256³, 65793, F₂₅₆, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using
        appending kth column [i] based on linear OA(256³, 65793, F₂₅₆, 2) (dual of [65793, 65790, 3]-code), using
        Hamming code H(3,256) [i]
        linear OOA(256⁴, 21846, F₂₅₆, 3, 3) (dual of [(21846, 3), 65534, 4]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁴, 65536, F₂₅₆, 3, 3) (dual of [(65536, 3), 196604, 4]-NRT-code), using
        OOA stacking with additional row [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(256¹³, 21846, F₂₅₆, 3, 7) (dual of [(21846, 3), 65525, 8]-NRT-code), using
        OOA 3-folding [i] based on linear OA(256¹³, 65538, F₂₅₆, 7) (dual of [65538, 65525, 8]-code), using
        constructionÂ X applied to C_e(6) âŠ‚ C_e(5) [i] based on
        linear OA(256¹³, 65536, F₂₅₆, 7) (dual of [65536, 65523, 8]-code), using an extension C_e(6) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
        linear OA(256¹¹, 65536, F₂₅₆, 6) (dual of [65536, 65525, 7]-code), using an extension C_e(5) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 6 [i]
        linear OA(256⁰, 2, F₂₅₆, 0) (dual of [2, 2, 1]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁰, s, F₂₅₆, 0) (dual of [s, s, 1]-code) with arbitrarily large s, using
        OA with only one run / dual of code without redundancy [i]

(51−7, 51, large)-Net in Base 16 — Upper bound on s

There is no (44, 51, large)-net in base 16, because

5 times m-reduction [i] would yield (44, 46, large)-net in base 16, but
- mutually orthogonal hypercube bound [i]

Best Known (51−7, 51, s)-Nets in Base 16

(51−7, 51, large)-Net over F16 — Constructive and digital

(51−7, 51, large)-Net in Base 16 — Upper bound on s

(51−7, 51, large)-Net over F₁₆ — Constructive and digital