MinT - Information on Result #875749

Information on Result #875749

Linear OOA(64⁸⁵, 260, F₆₄, 2, 53) (dual of [(260, 2), 435, 54]-NRT-code), using OOA 2-folding based on linear OA(64⁸⁵, 520, F₆₄, 53) (dual of [520, 435, 54]-code), using

discarding factors / shortening the dual code based on linear OA(64⁸⁵, 521, F₆₄, 53) (dual of [521, 436, 54]-code), using
- constructionÂ X applied to AG(F,458P) âŠ‚ AG(F,463P) [i] based on
  1. linear OA(64⁸¹, 512, F₆₄, 53) (dual of [512, 431, 54]-code), using algebraic-geometric code AG(F,458P) [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(64⁷⁶, 512, F₆₄, 48) (dual of [512, 436, 49]-code), using algebraic-geometric code AG(F,463P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (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: 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.