MinT - Information on Result #3278523

Information on Result #3278523

(236, 260, 699437)-net in base 4, using 4¹ times duplication based on (235, 259, 699437)-net in base 4, using

t-expansion [i] based on (234, 259, 699437)-net in base 4, using
- (u,Â u+v)-construction [i] based on
  1. (30, 42, 387)-net in base 4, using
    - trace code for nets [i] based on (2, 14, 129)-net in base 64, using
      - base change [i] based on digital (0, 12, 129)-net over F₁₂₈, using
        net from sequence [i] based on digital (0, 128)-sequence over F₁₂₈, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₂₈ with g(F) = 0 and N(F) ≥ 129, using
        the rational function field F₁₂₈(x) [i]
        Niederreiter sequence [i]
  2. digital (192, 217, 699050)-net over F₄, using
    - net defined by OOA [i] based on linear OOA(4²¹⁷, 699050, F₄, 25, 25) (dual of [(699050, 25), 17476033, 26]-NRT-code), using
      - OOA 12-folding and stacking with additional row [i] based on linear OA(4²¹⁷, 8388601, F₄, 25) (dual of [8388601, 8388384, 26]-code), using
        discarding factors / shortening the dual code based on linear OA(4²¹⁷, large, F₄, 25) (dual of [large, large−217, 26]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 4²⁴âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (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.