MinT - Best Known (41−4, 41, s)-Nets in Base 16

Best Known (41−4, 41, s)-Nets in Base 16

(41−4, 41, large)-Net over F₁₆ — Constructive and digital

Digital (37, 41, large)-net over F₁₆, using

t-expansion [i] based on digital (36, 41, large)-net over F₁₆, using
- 1 times m-reduction [i] based on digital (36, 42, large)-net over F₁₆, using
  - trace code for nets [i] based on digital (15, 21, 5592576)-net over F₂₅₆, using
    - net defined by OOA [i] based on linear OOA(256²¹, 5592576, F₂₅₆, 6, 6) (dual of [(5592576, 6), 33555435, 7]-NRT-code), using
      - appending kth column [i] based on linear OOA(256²¹, 5592576, F₂₅₆, 5, 6) (dual of [(5592576, 5), 27962859, 7]-NRT-code), using
        generalized (u,Â u+v)-construction [i] based on
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁰, s, F₂₅₆, 5, 0) with arbitrarily large s, using
        OOA with only one run / dual of NRT-code without redundancy [i]
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256⁰, 21846, F₂₅₆, 5, 0) (dual of [(21846, 5), 109230, 1]-NRT-code) (see above)
        linear OOA(256¹, 21846, F₂₅₆, 5, 1) (dual of [(21846, 5), 109229, 2]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256¹, s, F₂₅₆, 5, 1) with arbitrarily large s, using
        appending 4 arbitrary columns [i] based on linear OA(256¹, s, F₂₅₆, 1) (dual of [s, s−1, 2]-code) with arbitrarily large s, using
        parity-check code [i]
        linear OOA(256¹, 21846, F₂₅₆, 5, 1) (dual of [(21846, 5), 109229, 2]-NRT-code) (see above)
        linear OOA(256¹, 21846, F₂₅₆, 5, 1) (dual of [(21846, 5), 109229, 2]-NRT-code) (see above)
        linear OOA(256³, 21846, F₂₅₆, 5, 2) (dual of [(21846, 5), 109227, 3]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256³, 65793, F₂₅₆, 5, 2) (dual of [(65793, 5), 328962, 3]-NRT-code), using
        appending 3 arbitrary columns [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, 5, 3) (dual of [(21846, 5), 109226, 4]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(256⁴, 65537, F₂₅₆, 5, 3) (dual of [(65537, 5), 327681, 4]-NRT-code), using
        appending 2 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(256¹¹, 21846, F₂₅₆, 5, 6) (dual of [(21846, 5), 109219, 7]-NRT-code), using
        OA 3-folding and stacking [i] based on linear OA(256¹¹, 65538, F₂₅₆, 6) (dual of [65538, 65527, 7]-code), using
        constructionÂ X applied to C_e(5) âŠ‚ C_e(4) [i] based on
        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(256⁹, 65536, F₂₅₆, 5) (dual of [65536, 65527, 6]-code), using an extension C_e(4) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [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]

(41−4, 41, large)-Net in Base 16 — Upper bound on s

There is no (37, 41, large)-net in base 16, because

2 times m-reduction [i] would yield (37, 39, large)-net in base 16, but
- mutually orthogonal hypercube bound [i]

Best Known (41−4, 41, s)-Nets in Base 16

(41−4, 41, large)-Net over F16 — Constructive and digital

(41−4, 41, large)-Net in Base 16 — Upper bound on s

(41−4, 41, large)-Net over F₁₆ — Constructive and digital