MinT - Information on Result #875690

Information on Result #875690

Linear OOA(64⁹¹, 268, F₆₄, 2, 51) (dual of [(268, 2), 445, 52]-NRT-code), using OOA 2-folding based on linear OA(64⁹¹, 536, F₆₄, 51) (dual of [536, 445, 52]-code), using

discarding factors / shortening the dual code based on linear OA(64⁹¹, 537, F₆₄, 51) (dual of [537, 446, 52]-code), using
- constructionÂ X applied to AG(F,460P) âŠ‚ AG(F,473P) [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(64⁶⁶, 512, F₆₄, 38) (dual of [512, 446, 39]-code), using algebraic-geometric code AG(F,473P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
  3. linear OA(64¹², 25, F₆₄, 12) (dual of [25, 13, 13]-code or 25-arc in PG(11,64)), using
    - discarding factors / shortening the dual code based on linear OA(64¹², 64, F₆₄, 12) (dual of [64, 52, 13]-code or 64-arc in PG(11,64)), using
      - Reedâ€“Solomon code RS(52,64) [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.