MinT - Information on Result #1841773

Information on Result #1841773

(25, 34, 2097406)-net in base 128, using net defined by OOA based on OOA(128³⁴, 2097406, S₁₂₈, 12, 9), using

OOA stacking with additional row [i] based on OOA(128³⁴, 2097407, S₁₂₈, 4, 9), using
- (u,Â u+v)-construction [i] based on
  1. OOA(128⁵, 257, S₁₂₈, 4, 4), using
    - appending kth column [i] based on OOA(128⁵, 257, S₁₂₈, 3, 4), using
      - extracting embedded OOA [i] based on (1, 5, 257)-net in base 128, using
        3 times m-reduction [i] based on (1, 8, 257)-net in base 128, using
        base change [i] based on digital (0, 7, 257)-net over F₂₅₆, using
        net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(x) [i]
        Niederreiter sequence [i]
  2. OOA(128²⁹, 2097150, S₁₂₈, 4, 9), using
    - OOA 4-folding [i] based on OA(128²⁹, 8388600, S₁₂₈, 9), using
      - discarding factors based on OA(128²⁹, large, S₁₂₈, 9), using
        discarding parts of the base [i] based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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.