MinT - Information on Result #1816488

Information on Result #1816488

OA(32³⁰, 130, S₃₂, 19), using discarding parts of the base based on linear OA(64²⁵, 130, F₆₄, 19) (dual of [130, 105, 20]-code), using

constructionÂ X applied to AG(F,107P) âŠ‚ AG(F,109P) [i] based on
1. linear OA(64²⁴, 127, F₆₄, 19) (dual of [127, 103, 20]-code), using algebraic-geometric code AG(F,107P) [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128, using
  - a function field by SÃ©mirat [i]
2. linear OA(64²², 127, F₆₄, 17) (dual of [127, 105, 18]-code), using algebraic-geometric code AG(F,109P) [i] based on function field F/F₆₄ with g(F) = 5 and N(F) ≥ 128 (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.