MinT - Information on Result #852234

Information on Result #852234

Linear OOA(9⁴⁴, 33, F₉, 2, 30) (dual of [(33, 2), 22, 31]-NRT-code), using OOA 2-folding based on linear OA(9⁴⁴, 66, F₉, 30) (dual of [66, 22, 31]-code), using

constructionÂ X applied to AG(F,32P) âŠ‚ AG(F,34P) [i] based on
1. linear OA(9⁴³, 63, F₉, 30) (dual of [63, 20, 31]-code), using algebraic-geometric code AG(F,32P) [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64, using
  - a function field by GarcÃa and Quoos [i]
2. linear OA(9⁴¹, 63, F₉, 28) (dual of [63, 22, 29]-code), using algebraic-geometric code AG(F,34P) [i] based on function field F/F₉ with g(F) = 13 and N(F) ≥ 64 (see above)
3. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 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.