MinT - Information on Result #1840199

Information on Result #1840199

(101, 114, 2796457)-net in base 8, using net defined by OOA based on OOA(8¹¹⁴, 2796457, S₈, 15, 13), using

OOA 2-folding and stacking with additional row [i] based on OOA(8¹¹⁴, 5592915, S₈, 3, 13), using
- discarding factors based on OOA(8¹¹⁴, 5592916, S₈, 3, 13), using
  - (u,Â u+v)-construction [i] based on
    1. OOA(8¹⁶, 514, S₈, 3, 6), using
      - extracting embedded OOA [i] based on (10, 16, 514)-net in base 8, using
        base change [i] based on digital (6, 12, 514)-net over F₁₆, using
        trace code for nets [i] based on digital (0, 6, 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. linear OOA(8⁹⁸, 5592402, F₈, 3, 13) (dual of [(5592402, 3), 16777108, 14]-NRT-code), using
      - trace code [i] based on linear OOA(64⁴⁹, 2796201, F₆₄, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
        OOA 3-folding [i] based on linear OA(64⁴⁹, large, F₆₄, 13) (dual of [large, large−49, 14]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [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.