MinT - Information on Result #1815959

Information on Result #1815959

OA(16⁹⁵, 136, S₁₆, 57), using discarding parts of the base based on linear OA(32⁷⁶, 136, F₃₂, 57) (dual of [136, 60, 58]-code), using

constructionÂ X applied to AG(F,61P) âŠ‚ AG(F,70P) [i] based on
1. linear OA(32⁶⁸, 119, F₃₂, 57) (dual of [119, 51, 58]-code), using algebraic-geometric code AG(F,61P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120, using
  - a function field by SÃ©mirat [i]
2. linear OA(32⁵⁹, 119, F₃₂, 48) (dual of [119, 60, 49]-code), using algebraic-geometric code AG(F,70P) [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120 (see above)
3. linear OA(32⁸, 17, F₃₂, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,32)), using
  - discarding factors / shortening the dual code based on linear OA(32⁸, 32, F₃₂, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
    - Reedâ€“Solomon code RS(24,32) [i]

Mode: Constructive.

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.