MinT - Information on Result #1817832

Information on Result #1817832

OA(27³⁵, 118, S₂₇, 23), using discarding parts of the base based on linear OA(81²⁶, 118, F₈₁, 23) (dual of [118, 92, 24]-code), using

constructionÂ X applied to AG(F,91P) âŠ‚ AG(F,93P) [i] based on
1. linear OA(81²⁵, 115, F₈₁, 23) (dual of [115, 90, 24]-code), using algebraic-geometric code AG(F,91P) [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 116, using
  - a function field by SÃ©mirat [i]
2. linear OA(81²³, 115, F₈₁, 21) (dual of [115, 92, 22]-code), using algebraic-geometric code AG(F,93P) [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 116 (see above)
3. linear OA(81¹, 3, F₈₁, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(81¹, s, F₈₁, 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.