MinT - Information on Result #1842777

Information on Result #1842777

(105, 124, 1864197)-net in base 16, using (u,Â u+v)-construction based on

(5, 14, 65)-net in base 16, using
- 1 times m-reduction [i] based on (5, 15, 65)-net in base 16, using
  - base change [i] based on digital (0, 10, 65)-net over F₆₄, using
    - net from sequence [i] based on digital (0, 64)-sequence over F₆₄, using
      - generalized Faure sequence [i]
      - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 0 and N(F) ≥ 65, using
        the rational function field F₆₄(x) [i]
      - Niederreiter sequence [i]
digital (91, 110, 1864132)-net over F₁₆, using
- trace code for nets [i] based on digital (36, 55, 932066)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256⁵⁵, 932066, F₂₅₆, 19, 19) (dual of [(932066, 19), 17709199, 20]-NRT-code), using
    - OOA 9-folding and stacking with additional row [i] based on linear OA(256⁵⁵, 8388595, F₂₅₆, 19) (dual of [8388595, 8388540, 20]-code), using
      - discarding factors / shortening the dual code based on linear OA(256⁵⁵, large, F₂₅₆, 19) (dual of [large, large−55, 20]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [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.