MinT - Information on Result #875498

Information on Result #875498

Linear OOA(64⁷⁹, 261, F₆₄, 2, 46) (dual of [(261, 2), 443, 47]-NRT-code), using OOA 2-folding based on linear OA(64⁷⁹, 522, F₆₄, 46) (dual of [522, 443, 47]-code), using

discarding factors / shortening the dual code based on linear OA(64⁷⁹, 523, F₆₄, 46) (dual of [523, 444, 47]-code), using
- constructionÂ X applied to AG(F,465P) âŠ‚ AG(F,471P) [i] based on
  1. linear OA(64⁷⁴, 512, F₆₄, 46) (dual of [512, 438, 47]-code), using algebraic-geometric code AG(F,465P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
    - the Hermitian function field over F₆₄ [i]
  2. linear OA(64⁶⁸, 512, F₆₄, 40) (dual of [512, 444, 41]-code), using algebraic-geometric code AG(F,471P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
  3. linear OA(64⁵, 11, F₆₄, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,64)), using
    - discarding factors / shortening the dual code based on linear OA(64⁵, 64, F₆₄, 5) (dual of [64, 59, 6]-code or 64-arc in PG(4,64)), using
      - Reedâ€“Solomon code RS(59,64) [i]

Mode: Constructive and linear.

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.