MinT - Information on Result #2702822

Information on Result #2702822

Linear OOA(9⁶³, 464, F₉, 3, 18) (dual of [(464, 3), 1329, 19]-NRT-code), using 9¹ times duplication based on linear OOA(9⁶², 464, F₉, 3, 18) (dual of [(464, 3), 1330, 19]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(9²², 232, F₉, 3, 9) (dual of [(232, 3), 674, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (13, 22, 232)-net over F₉, using
    - trace code for nets [i] based on digital (2, 11, 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]
2. linear OOA(9⁴⁰, 232, F₉, 3, 18) (dual of [(232, 3), 656, 19]-NRT-code), using
  - extracting embedded OOA [i] based on digital (22, 40, 232)-net over F₉, using
    - trace code for nets [i] based on digital (2, 20, 116)-net over F₈₁, using
      - net from sequence [i] based on digital (2, 115)-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.