MinT - Information on Result #2308080

Information on Result #2308080

OA(32⁹⁷, 351, S₃₂, 56), using 1 times code embedding in larger space based on OA(32⁹⁶, 350, S₃₂, 56), using

discarding parts of the base [i] based on linear OA(64⁸⁰, 350, F₆₄, 56) (dual of [350, 270, 57]-code), using
- constructionÂ X applied to AG(F,284P) âŠ‚ AG(F,289P) [i] based on
  1. linear OA(64⁷⁶, 341, F₆₄, 56) (dual of [341, 265, 57]-code), using algebraic-geometric code AG(F,284P) [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(64⁷¹, 341, F₆₄, 51) (dual of [341, 270, 52]-code), using algebraic-geometric code AG(F,289P) [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.