MinT - Information on Result #1843411

Information on Result #1843411

(85, 103, 932389)-net in base 32, using (u,Â u+v)-construction based on

(11, 20, 322)-net in base 32, using
- (u,Â u+v)-construction [i] based on
  1. (1, 5, 65)-net in base 32, using
    - 1 times m-reduction [i] based on (1, 6, 65)-net in base 32, using
      - base change [i] based on digital (0, 5, 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]
  2. (6, 15, 257)-net in base 32, using
    - 1 times m-reduction [i] based on (6, 16, 257)-net in base 32, using
      - base change [i] based on digital (0, 10, 257)-net over F₂₅₆, using
        net from sequence [i] based on digital (0, 256)-sequence over F₂₅₆, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using
        the rational function field F₂₅₆(x) [i]
        Niederreiter sequence [i]
(65, 83, 932067)-net in base 32, using
- net defined by OOA [i] based on OOA(32⁸³, 932067, S₃₂, 18, 18), using
  - OA 9-folding and stacking [i] based on OA(32⁸³, large, S₃₂, 18), using
    - discarding parts of the base [i] based on linear OA(64⁶⁹, large, F₆₄, 18) (dual of [large, large−69, 19]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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.