MinT - Information on Result #3206141

Information on Result #3206141

Digital (88, 91, large)-net over F₄, using t-expansion based on digital (84, 91, large)-net over F₄, using

1 times m-reduction [i] based on digital (84, 92, large)-net over F₄, using
- (u,Â u+v)-construction [i] based on
  1. digital (0, 4, 5)-net over F₄, using
    - net from sequence [i] based on digital (0, 4)-sequence over F₄, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 0 and N(F) ≥ 5, using
        the rational function field F₄(x) [i]
      - Niederreiter sequence [i]
  2. digital (80, 88, 8388600)-net over F₄, using
    - trace code for nets [i] based on digital (36, 44, 4194300)-net over F₁₆, using
      - net defined by OOA [i] based on linear OOA(16⁴⁴, 4194300, F₁₆, 10, 8) (dual of [(4194300, 10), 41942956, 9]-NRT-code), using
        OOA 2-folding and stacking with additional row [i] based on linear OOA(16⁴⁴, 8388601, F₁₆, 2, 8) (dual of [(8388601, 2), 16777158, 9]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(16⁴⁴, 8388602, F₁₆, 2, 8) (dual of [(8388602, 2), 16777160, 9]-NRT-code), using
        trace code [i] based on linear OOA(256²², 4194301, F₂₅₆, 2, 8) (dual of [(4194301, 2), 8388580, 9]-NRT-code), using
        OOA 2-folding [i] based on linear OA(256²², 8388602, F₂₅₆, 8) (dual of [8388602, 8388580, 9]-code), using
        discarding factors / shortening the dual code based on linear OA(256²², large, F₂₅₆, 8) (dual of [large, large−22, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.