MinT - Information on Result #1844146

Information on Result #1844146

(52, 69, 1048854)-net in base 128, using (u,Â u+v)-construction based on

digital (5, 13, 279)-net over F₁₂₈, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 4, 129)-net over F₁₂₈, using
    - net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
        the rational function field F₁₂₈(x) [i]
      - Niederreiter sequence [i]
  2. digital (1, 9, 150)-net over F₁₂₈, using
    - net from sequence [i] based on digital (1, 149)-sequence over F₁₂₈, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 1 and N(F) ≥ 150, using
        a function field by SÃ©mirat [i]
(39, 56, 1048575)-net in base 128, using
- base change [i] based on digital (32, 49, 1048575)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256⁴⁹, 1048575, F₂₅₆, 17, 17) (dual of [(1048575, 17), 17825726, 18]-NRT-code), using
    - OOA 8-folding and stacking with additional row [i] based on linear OA(256⁴⁹, 8388601, F₂₅₆, 17) (dual of [8388601, 8388552, 18]-code), using
      - discarding factors / shortening the dual code based on linear OA(256⁴⁹, large, F₂₅₆, 17) (dual of [large, large−49, 18]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]

Mode: Constructive.

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.