MinT - Information on Result #3279511

Information on Result #3279511

(90, 108, 932299)-net in base 27, using 27¹ times duplication based on (89, 107, 932299)-net in base 27, using

(u,Â u+v)-construction [i] based on
1. (12, 21, 232)-net in base 27, using
  - (u,Â u+v)-construction [i] based on
    1. digital (2, 6, 351)-net over F₂₇, using
      - net defined by OOA [i] based on linear OOA(27⁶, 351, F₂₇, 4, 4) (dual of [(351, 4), 1398, 5]-NRT-code), using
        OA 2-folding and stacking [i] based on linear OA(27⁶, 702, F₂₇, 4) (dual of [702, 696, 5]-code), using
        1 times truncation [i] based on linear OA(27⁷, 703, F₂₇, 5) (dual of [703, 696, 6]-code), using
        a code by Danev and Olsson [i]
    2. (6, 15, 116)-net in base 27, using
      - 1 times m-reduction [i] based on (6, 16, 116)-net in base 27, using
        base change [i] based on digital (2, 12, 116)-net over F₈₁, using
        net from sequence [i] based on digital (2, 115)-sequence over F₈₁, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 116, using
        a function field by SÃ©mirat [i]
2. digital (68, 86, 932067)-net over F₂₇, using
  - net defined by OOA [i] based on linear OOA(27⁸⁶, 932067, F₂₇, 18, 18) (dual of [(932067, 18), 16777120, 19]-NRT-code), using
    - OA 9-folding and stacking [i] based on linear OA(27⁸⁶, large, F₂₇, 18) (dual of [large, large−86, 19]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 27⁵âˆ’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.