MinT - Information on Result #845589

Information on Result #845589

Linear OOA(8⁴⁹, 33, F₈, 2, 34) (dual of [(33, 2), 17, 35]-NRT-code), using OOA 2-folding based on linear OA(8⁴⁹, 66, F₈, 34) (dual of [66, 17, 35]-code), using

discarding factors / shortening the dual code based on linear OA(8⁴⁹, 67, F₈, 34) (dual of [67, 18, 35]-code), using
- constructionÂ X applied to AG(F,29P) âŠ‚ AG(F,31P) [i] based on
  1. linear OA(8⁴⁸, 64, F₈, 34) (dual of [64, 16, 35]-code), using algebraic-geometric code AG(F,29P) [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(8⁴⁶, 64, F₈, 32) (dual of [64, 18, 33]-code), using algebraic-geometric code AG(F,31P) [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.