MinT - Information on Result #875718

Information on Result #875718

Linear OOA(64⁸⁶, 262, F₆₄, 2, 52) (dual of [(262, 2), 438, 53]-NRT-code), using OOA 2-folding based on linear OA(64⁸⁶, 524, F₆₄, 52) (dual of [524, 438, 53]-code), using

discarding factors / shortening the dual code based on linear OA(64⁸⁶, 525, F₆₄, 52) (dual of [525, 439, 53]-code), using
- constructionÂ X applied to AG(F,459P) âŠ‚ AG(F,466P) [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(64⁷³, 512, F₆₄, 45) (dual of [512, 439, 46]-code), using algebraic-geometric code AG(F,466P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
  3. linear OA(64⁶, 13, F₆₄, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,64)), using
    - discarding factors / shortening the dual code based on linear OA(64⁶, 64, F₆₄, 6) (dual of [64, 58, 7]-code or 64-arc in PG(5,64)), using
      - Reedâ€“Solomon code RS(58,64) [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.