MinT - Information on Result #875689

Information on Result #875689

Linear OOA(64⁹⁰, 267, F₆₄, 2, 51) (dual of [(267, 2), 444, 52]-NRT-code), using OOA 2-folding based on linear OA(64⁹⁰, 534, F₆₄, 51) (dual of [534, 444, 52]-code), using

discarding factors / shortening the dual code based on linear OA(64⁹⁰, 535, F₆₄, 51) (dual of [535, 445, 52]-code), using
- constructionÂ X applied to AG(F,460P) âŠ‚ AG(F,472P) [i] based on
  1. linear OA(64⁷⁹, 512, F₆₄, 51) (dual of [512, 433, 52]-code), using algebraic-geometric code AG(F,460P) [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(64⁶⁷, 512, F₆₄, 39) (dual of [512, 445, 40]-code), using algebraic-geometric code AG(F,472P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
  3. linear OA(64¹¹, 23, F₆₄, 11) (dual of [23, 12, 12]-code or 23-arc in PG(10,64)), using
    - discarding factors / shortening the dual code based on linear OA(64¹¹, 64, F₆₄, 11) (dual of [64, 53, 12]-code or 64-arc in PG(10,64)), using
      - Reedâ€“Solomon code RS(53,64) [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.