MinT - Information on Result #2506739

Information on Result #2506739

Linear OOA(7⁸⁵, 200, F₇, 2, 28) (dual of [(200, 2), 315, 29]-NRT-code), using 7¹ times duplication based on linear OOA(7⁸⁴, 200, F₇, 2, 28) (dual of [(200, 2), 316, 29]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(7²⁸, 100, F₇, 2, 14) (dual of [(100, 2), 172, 15]-NRT-code), using
  - extracting embedded OOA [i] based on digital (14, 28, 100)-net over F₇, using
    - trace code for nets [i] based on digital (0, 14, 50)-net over F₄₉, using
      - net from sequence [i] based on digital (0, 49)-sequence over F₄₉, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄₉ with g(F) = 0 and N(F) ≥ 50, using
        the rational function field F₄₉(x) [i]
        Niederreiter sequence [i]
2. linear OOA(7⁵⁶, 100, F₇, 2, 28) (dual of [(100, 2), 144, 29]-NRT-code), using
  - extracting embedded OOA [i] based on digital (28, 56, 100)-net over F₇, using
    - trace code for nets [i] based on digital (0, 28, 50)-net over F₄₉, using
      - net from sequence [i] based on digital (0, 49)-sequence over F₄₉ (see above)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.