MinT - Information on Result #875722

Information on Result #875722

Linear OOA(64⁹⁰, 266, F₆₄, 2, 52) (dual of [(266, 2), 442, 53]-NRT-code), using OOA 2-folding based on linear OA(64⁹⁰, 532, F₆₄, 52) (dual of [532, 442, 53]-code), using

discarding factors / shortening the dual code based on linear OA(64⁹⁰, 533, F₆₄, 52) (dual of [533, 443, 53]-code), using
- constructionÂ X applied to AG(F,459P) âŠ‚ AG(F,470P) [i] based on
  1. linear OA(64⁸⁰, 512, F₆₄, 52) (dual of [512, 432, 53]-code), using algebraic-geometric code AG(F,459P) [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(64⁶⁹, 512, F₆₄, 41) (dual of [512, 443, 42]-code), using algebraic-geometric code AG(F,470P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
  3. linear OA(64¹⁰, 21, F₆₄, 10) (dual of [21, 11, 11]-code or 21-arc in PG(9,64)), using
    - discarding factors / shortening the dual code based on linear OA(64¹⁰, 64, F₆₄, 10) (dual of [64, 54, 11]-code or 64-arc in PG(9,64)), using
      - Reedâ€“Solomon code RS(54,64) [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.