MinT - Information on Result #1817316

Information on Result #1817316

OA(32⁹³, 203, S₃₂, 57), using discarding parts of the base based on linear OA(64⁷⁷, 203, F₆₄, 57) (dual of [203, 126, 58]-code), using

constructionÂ X applied to AG(F,118P) âŠ‚ AG(F,132P) [i] based on
1. linear OA(64⁶⁴, 176, F₆₄, 57) (dual of [176, 112, 58]-code), using algebraic-geometric code AG(F,118P) [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(64⁵⁰, 176, F₆₄, 43) (dual of [176, 126, 44]-code), using algebraic-geometric code AG(F,132P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
3. linear OA(64¹³, 27, F₆₄, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹³, 64, F₆₄, 13) (dual of [64, 51, 14]-code or 64-arc in PG(12,64)), using
    - Reedâ€“Solomon code RS(51,64) [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.