MinT - Information on Result #875784

Information on Result #875784

Linear OOA(64⁸⁹, 263, F₆₄, 2, 54) (dual of [(263, 2), 437, 55]-NRT-code), using OOA 2-folding based on linear OA(64⁸⁹, 526, F₆₄, 54) (dual of [526, 437, 55]-code), using

discarding factors / shortening the dual code based on linear OA(64⁸⁹, 527, F₆₄, 54) (dual of [527, 438, 55]-code), using
- constructionÂ X applied to AG(F,457P) âŠ‚ AG(F,465P) [i] based on
  1. linear OA(64⁸², 512, F₆₄, 54) (dual of [512, 430, 55]-code), using algebraic-geometric code AG(F,457P) [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(64⁷⁴, 512, F₆₄, 46) (dual of [512, 438, 47]-code), using algebraic-geometric code AG(F,465P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
  3. linear OA(64⁷, 15, F₆₄, 7) (dual of [15, 8, 8]-code or 15-arc in PG(6,64)), using
    - discarding factors / shortening the dual code based on linear OA(64⁷, 64, F₆₄, 7) (dual of [64, 57, 8]-code or 64-arc in PG(6,64)), using
      - Reedâ€“Solomon code RS(57,64) [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.