MinT - Information on Result #3279484

Information on Result #3279484

(15, 26, 232)-net in base 27, using 27¹ times duplication based on (14, 25, 232)-net in base 27, using

(u,Â u+v)-construction [i] based on
1. digital (2, 7, 351)-net over F₂₇, using
  - net defined by OOA [i] based on linear OOA(27⁷, 351, F₂₇, 5, 5) (dual of [(351, 5), 1748, 6]-NRT-code), using
    - OOA 2-folding and stacking with additional row [i] based on linear OA(27⁷, 703, F₂₇, 5) (dual of [703, 696, 6]-code), using
      - a code by Danev and Olsson [i]
2. (7, 18, 116)-net in base 27, using
  - 2 times m-reduction [i] based on (7, 20, 116)-net in base 27, using
    - base change [i] based on digital (2, 15, 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]

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.