MinT - Information on Result #2697583

Information on Result #2697583

Linear OOA(7⁵⁷, 200, F₇, 3, 19) (dual of [(200, 3), 543, 20]-NRT-code), using 7¹ times duplication based on linear OOA(7⁵⁶, 200, F₇, 3, 19) (dual of [(200, 3), 544, 20]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(7¹⁸, 100, F₇, 3, 9) (dual of [(100, 3), 282, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (9, 18, 100)-net over F₇, using
    - trace code for nets [i] based on digital (0, 9, 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(7³⁸, 100, F₇, 3, 19) (dual of [(100, 3), 262, 20]-NRT-code), using
  - extracting embedded OOA [i] based on digital (19, 38, 100)-net over F₇, using
    - trace code for nets [i] based on digital (0, 19, 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.