MinT - Information on Result #1841985

Information on Result #1841985

(49, 66, 1048703)-net in base 128, using net defined by OOA based on OOA(128⁶⁶, 1048703, S₁₂₈, 20, 17), using

OOA 2-folding and stacking with additional row [i] based on OOA(128⁶⁶, 2097407, S₁₂₈, 4, 17), using
- (u,Â u+v)-construction [i] based on
  1. OOA(128¹⁰, 257, S₁₂₈, 4, 8), using
    - extracting embedded OOA [i] based on (2, 10, 257)-net in base 128, using
      - 6 times m-reduction [i] based on (2, 16, 257)-net in base 128, using
        base change [i] based on digital (0, 14, 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(128⁵⁶, 2097150, S₁₂₈, 4, 17), using
    - OOA 4-folding [i] based on OA(128⁵⁶, 8388600, S₁₂₈, 17), using
      - discarding factors based on OA(128⁵⁶, large, S₁₂₈, 17), using
        discarding parts of the base [i] 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.