MinT - Information on Result #844650

Information on Result #844650

Linear OOA(8⁴⁰, 33, F₈, 2, 25) (dual of [(33, 2), 26, 26]-NRT-code), using OOA 2-folding based on linear OA(8⁴⁰, 66, F₈, 25) (dual of [66, 26, 26]-code), using

discarding factors / shortening the dual code based on linear OA(8⁴⁰, 67, F₈, 25) (dual of [67, 27, 26]-code), using
- constructionÂ X applied to AG(F,38P) âŠ‚ AG(F,40P) [i] based on
  1. linear OA(8³⁹, 64, F₈, 25) (dual of [64, 25, 26]-code), using algebraic-geometric code AG(F,38P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
    - the Suzuki function field over F₈ [i]
  2. linear OA(8³⁷, 64, F₈, 23) (dual of [64, 27, 24]-code), using algebraic-geometric code AG(F,40P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OA(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [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.