MinT - Information on Result #1817203

Information on Result #1817203

OA(32⁸⁷, 179, S₃₂, 64), using discarding parts of the base based on linear OA(64⁷², 179, F₆₄, 64) (dual of [179, 107, 65]-code), using

constructionÂ X applied to AG(F,111P) âŠ‚ AG(F,113P) [i] based on
1. linear OA(64⁷¹, 176, F₆₄, 64) (dual of [176, 105, 65]-code), using algebraic-geometric code AG(F,111P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
  - a function field by GarcÃa and Quoos [i]
2. linear OA(64⁶⁹, 176, F₆₄, 62) (dual of [176, 107, 63]-code), using algebraic-geometric code AG(F,113P) [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177 (see above)
3. linear OA(64¹, 3, F₆₄, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(64¹, s, F₆₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

Mode: Constructive.

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.