MinT - Information on Result #2720369

Information on Result #2720369

Linear OOA(8⁹⁴, 131, F₈, 3, 51) (dual of [(131, 3), 299, 52]-NRT-code), using strength reduction based on linear OOA(8⁹⁴, 131, F₈, 3, 52) (dual of [(131, 3), 299, 53]-NRT-code), using

constructionÂ X applied to AG(3;F,331P) âŠ‚ AG(3;F,336P) [i] based on
1. linear OOA(8⁹⁰, 128, F₈, 3, 52) (dual of [(128, 3), 294, 53]-NRT-code), using algebraic-geometric NRT-code AG(3;F,331P) [i] based on function field F/F₈ with g(F) = 38 and N(F) ≥ 129, using
  - a curve from the manYPoints database [i]
2. linear OOA(8⁸⁵, 128, F₈, 3, 47) (dual of [(128, 3), 299, 48]-NRT-code), using algebraic-geometric NRT-code AG(3;F,336P) [i] based on function field F/F₈ with g(F) = 38 and N(F) ≥ 129 (see above)
3. linear OOA(8⁴, 3, F₈, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8⁴, 8, F₈, 3, 4) (dual of [(8, 3), 20, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;20,8) [i]

Mode: 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.