MinT - Information on Result #3257489

Information on Result #3257489

Digital (226, 245, 3728340)-net over F₄, using 4¹ times duplication based on digital (225, 244, 3728340)-net over F₄, using

(u,Â u+v)-construction [i] based on
1. digital (15, 24, 76)-net over F₄, using
  - trace code for nets [i] based on digital (3, 12, 38)-net over F₁₆, using
    - net from sequence [i] based on digital (3, 37)-sequence over F₁₆, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
        a function field by SÃ©mirat [i]
2. digital (201, 220, 3728264)-net over F₄, using
  - trace code for nets [i] based on digital (36, 55, 932066)-net over F₂₅₆, using
    - net defined by OOA [i] based on linear OOA(256⁵⁵, 932066, F₂₅₆, 19, 19) (dual of [(932066, 19), 17709199, 20]-NRT-code), using
      - OOA 9-folding and stacking with additional row [i] based on linear OA(256⁵⁵, 8388595, F₂₅₆, 19) (dual of [8388595, 8388540, 20]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁵⁵, large, F₂₅₆, 19) (dual of [large, large−55, 20]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.