MinT - Information on Result #659685

Information on Result #659685

Linear OA(5⁷⁸, 136, F₅, 34) (dual of [136, 58, 35]-code), using trace code based on linear OA(25³⁹, 68, F₂₅, 34) (dual of [68, 29, 35]-code), using

constructionÂ X applied to AG(F,30P) âŠ‚ AG(F,32P) [i] based on
1. linear OA(25³⁸, 65, F₂₅, 34) (dual of [65, 27, 35]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66, using
  - a function field by GarcÃa and Quoos [i]
2. linear OA(25³⁶, 65, F₂₅, 32) (dual of [65, 29, 33]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F₂₅ with g(F) = 4 and N(F) ≥ 66 (see above)
3. linear OA(25¹, 3, F₂₅, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(25¹, s, F₂₅, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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.