MinT - Information on Result #1844127

Information on Result #1844127

(50, 66, 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]
(37, 53, 1048575)-net in base 128, using
- net defined by OOA [i] based on OOA(128⁵³, 1048575, S₁₂₈, 16, 16), using
  - OA 8-folding and stacking [i] based on OA(128⁵³, 8388600, S₁₂₈, 16), using
    - discarding factors based on OA(128⁵³, large, S₁₂₈, 16), using
      - discarding parts of the base [i] based on linear OA(256⁴⁶, large, F₂₅₆, 16) (dual of [large, large−46, 17]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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.