MinT - Information on Result #1817163

Information on Result #1817163

OA(32⁸⁴, 191, S₃₂, 56), using discarding parts of the base based on linear OA(64⁷⁰, 191, F₆₄, 56) (dual of [191, 121, 57]-code), using

constructionÂ X applied to AG(F,119P) âŠ‚ AG(F,127P) [i] based on
1. linear OA(64⁶³, 176, F₆₄, 56) (dual of [176, 113, 57]-code), using algebraic-geometric code AG(F,119P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
  - a function field by GarcÃa and Quoos [i]
2. linear OA(64⁵⁵, 176, F₆₄, 48) (dual of [176, 121, 49]-code), using algebraic-geometric code AG(F,127P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
3. linear OA(64⁷, 15, F₆₄, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,64)), using
  - discarding factors / shortening the dual code based on linear OA(64⁷, 64, F₆₄, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
    - Reedâ€“Solomon code RS(57,64) [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.