MinT - Information on Result #2699178

Information on Result #2699178

Linear OOA(8³⁷, 260, F₈, 3, 12) (dual of [(260, 3), 743, 13]-NRT-code), using 8¹ times duplication based on linear OOA(8³⁶, 260, F₈, 3, 12) (dual of [(260, 3), 744, 13]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8¹², 130, F₈, 3, 6) (dual of [(130, 3), 378, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (6, 12, 130)-net over F₈, using
    - trace code for nets [i] based on digital (0, 6, 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]
2. linear OOA(8²⁴, 130, F₈, 3, 12) (dual of [(130, 3), 366, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (12, 24, 130)-net over F₈, using
    - trace code for nets [i] based on digital (0, 12, 65)-net over F₆₄, using
      - net from sequence [i] based on digital (0, 64)-sequence over F₆₄ (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.