MinT - Information on Result #1191698

Information on Result #1191698

Digital (99, 112, 2796280)-net over F₈, using net defined by OOA based on linear OOA(8¹¹², 2796280, F₈, 15, 13) (dual of [(2796280, 15), 41944088, 14]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(8¹¹², 5592561, F₈, 3, 13) (dual of [(5592561, 3), 16777571, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹¹², 5592562, F₈, 3, 13) (dual of [(5592562, 3), 16777574, 14]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(8¹⁴, 160, F₈, 3, 6) (dual of [(160, 3), 466, 7]-NRT-code), using
      - extracting embedded OOA [i] based on digital (8, 14, 160)-net over F₈, using
        trace code for nets [i] based on digital (1, 7, 80)-net over F₆₄, using
        net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
        a function field by SÃ©mirat [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 and linear.

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.