MinT - Information on Result #2702694

Information on Result #2702694

Linear OOA(9⁴⁹, 400, F₉, 3, 15) (dual of [(400, 3), 1151, 16]-NRT-code), using 9¹ times duplication based on linear OOA(9⁴⁸, 400, F₉, 3, 15) (dual of [(400, 3), 1152, 16]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(9¹⁶, 200, F₉, 3, 7) (dual of [(200, 3), 584, 8]-NRT-code), using
  - extracting embedded OOA [i] based on digital (9, 16, 200)-net over F₉, using
    - trace code for nets [i] based on digital (1, 8, 100)-net over F₈₁, using
      - net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
        a function field by SÃ©mirat [i]
2. linear OOA(9³², 200, F₉, 3, 15) (dual of [(200, 3), 568, 16]-NRT-code), using
  - extracting embedded OOA [i] based on digital (17, 32, 200)-net over F₉, using
    - trace code for nets [i] based on digital (1, 16, 100)-net over F₈₁, using
      - net from sequence [i] based on digital (1, 99)-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.