MinT - Information on Result #1844859

Information on Result #1844859

OA(32¹⁰⁰, 350, S₃₂, 59), using discarding parts of the base based on linear OA(64⁸³, 350, F₆₄, 59) (dual of [350, 267, 60]-code), using

constructionÂ X applied to AG(F,281P) âŠ‚ AG(F,286P) [i] based on
1. linear OA(64⁷⁹, 341, F₆₄, 59) (dual of [341, 262, 60]-code), using algebraic-geometric code AG(F,281P) [i] based on function field F/F₆₄ with g(F) = 20 and N(F) ≥ 342, using
  - a curve from the manYPoints database [i]
2. linear OA(64⁷⁴, 341, F₆₄, 54) (dual of [341, 267, 55]-code), using algebraic-geometric code AG(F,286P) [i] based on function field F/F₆₄ with g(F) = 20 and N(F) ≥ 342 (see above)
3. linear OA(64⁴, 9, F₆₄, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,64)), using
  - discarding factors / shortening the dual code based on linear OA(64⁴, 64, F₆₄, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
    - Reedâ€“Solomon code RS(60,64) [i]

Mode: Arbitrary.

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.