MinT - Information on Result #2717362

Information on Result #2717362

Linear OOA(4²⁴², 93, F₄, 3, 187) (dual of [(93, 3), 37, 188]-NRT-code), using strength reduction based on linear OOA(4²⁴², 93, F₄, 3, 188) (dual of [(93, 3), 37, 189]-NRT-code), using

constructionÂ X applied to AG(3;F,81P) âŠ‚ AG(3;F,86P) [i] based on
1. linear OOA(4²³⁸, 90, F₄, 3, 188) (dual of [(90, 3), 32, 189]-NRT-code), using algebraic-geometric NRT-code AG(3;F,81P) [i] based on function field F/F₄ with g(F) = 50 and N(F) ≥ 91, using
  - a curve from the manYPoints database [i]
2. linear OOA(4²³³, 90, F₄, 3, 183) (dual of [(90, 3), 37, 184]-NRT-code), using algebraic-geometric NRT-code AG(3;F,86P) [i] based on function field F/F₄ with g(F) = 50 and N(F) ≥ 91 (see above)
3. linear OOA(4⁴, 3, F₄, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴, 4, F₄, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(3;8,4) [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.