MinT - Information on Result #1843225

Information on Result #1843225

(36, 45, 2097215)-net in base 32, using (u,Â u+v)-construction based on

(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]
(31, 40, 2097150)-net in base 32, using
- base change [i] based on digital (16, 25, 2097150)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256²⁵, 2097150, F₂₅₆, 9, 9) (dual of [(2097150, 9), 18874325, 10]-NRT-code), using
    - OOA 4-folding and stacking with additional row [i] based on linear OA(256²⁵, 8388601, F₂₅₆, 9) (dual of [8388601, 8388576, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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.