MinT - Information on Result #2702556

Information on Result #2702556

Linear OOA(9³⁷, 328, F₉, 3, 12) (dual of [(328, 3), 947, 13]-NRT-code), using 9¹ times duplication based on linear OOA(9³⁶, 328, F₉, 3, 12) (dual of [(328, 3), 948, 13]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(9¹², 164, F₉, 3, 6) (dual of [(164, 3), 480, 7]-NRT-code), using
  - extracting embedded OOA [i] based on digital (6, 12, 164)-net over F₉, using
    - trace code for nets [i] based on digital (0, 6, 82)-net over F₈₁, using
      - net from sequence [i] based on digital (0, 81)-sequence over F₈₁, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 0 and N(F) ≥ 82, using
        the rational function field F₈₁(x) [i]
        Niederreiter sequence [i]
2. linear OOA(9²⁴, 164, F₉, 3, 12) (dual of [(164, 3), 468, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (12, 24, 164)-net over F₉, using
    - trace code for nets [i] based on digital (0, 12, 82)-net over F₈₁, using
      - net from sequence [i] based on digital (0, 81)-sequence over F₈₁ (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.