MinT - Information on Result #861162

Information on Result #861162

Linear OOA(25²², 34, F₂₅, 2, 17) (dual of [(34, 2), 46, 18]-NRT-code), using OOA 2-folding based on linear OA(25²², 68, F₂₅, 17) (dual of [68, 46, 18]-code), using

constructionÂ X applied to AG(F,47P) âŠ‚ AG(F,49P) [i] based on
1. linear OA(25²¹, 65, F₂₅, 17) (dual of [65, 44, 18]-code), using algebraic-geometric code AG(F,47P) [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(25¹⁹, 65, F₂₅, 15) (dual of [65, 46, 16]-code), using algebraic-geometric code AG(F,49P) [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.