MinT - Information on Result #1842465

Information on Result #1842465

(142, 161, 1864166)-net in base 8, using (u,Â u+v)-construction based on

(6, 15, 33)-net in base 8, using
- 1 times m-reduction [i] based on (6, 16, 33)-net in base 8, using
  - base change [i] based on digital (2, 12, 33)-net over F₁₆, using
    - net from sequence [i] based on digital (2, 32)-sequence over F₁₆, using
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
        a function field by SÃ©mirat [i]
digital (127, 146, 1864133)-net over F₈, using
- net defined by OOA [i] based on linear OOA(8¹⁴⁶, 1864133, F₈, 21, 19) (dual of [(1864133, 21), 39146647, 20]-NRT-code), using
  - OOA 3-folding and stacking with additional row [i] based on linear OOA(8¹⁴⁶, 5592400, F₈, 3, 19) (dual of [(5592400, 3), 16777054, 20]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(8¹⁴⁶, 5592402, F₈, 3, 19) (dual of [(5592402, 3), 16777060, 20]-NRT-code), using
      - trace code [i] based on linear OOA(64⁷³, 2796201, F₆₄, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
        OOA 3-folding [i] based on linear OA(64⁷³, large, F₆₄, 19) (dual of [large, large−73, 20]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (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.