MinT - Information on Result #2695524

Information on Result #2695524

Linear OOA(5¹⁰⁷, 304, F₅, 3, 29) (dual of [(304, 3), 805, 30]-NRT-code), using 5¹ times duplication based on linear OOA(5¹⁰⁶, 304, F₅, 3, 29) (dual of [(304, 3), 806, 30]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(5²⁸, 52, F₅, 3, 14) (dual of [(52, 3), 128, 15]-NRT-code), using
  - extracting embedded OOA [i] based on digital (14, 28, 52)-net over F₅, using
    - trace code for nets [i] based on digital (0, 14, 26)-net over F₂₅, using
      - net from sequence [i] based on digital (0, 25)-sequence over F₂₅, using
        generalized Faure sequence [i]
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using
        the rational function field F₂₅(x) [i]
        Niederreiter sequence [i]
2. linear OOA(5⁷⁸, 252, F₅, 3, 29) (dual of [(252, 3), 678, 30]-NRT-code), using
  - extracting embedded OOA [i] based on digital (49, 78, 252)-net over F₅, using
    - trace code for nets [i] based on digital (10, 39, 126)-net over F₂₅, using
      - net from sequence [i] based on digital (10, 125)-sequence over F₂₅, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 10 and N(F) ≥ 126, using
        the Hermitian function field over F₂₅ [i]

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.