MinT - Information on Result #2716780

Information on Result #2716780

Linear OOA(4²²³, 131, F₄, 3, 137) (dual of [(131, 3), 170, 138]-NRT-code), using strength reduction based on linear OOA(4²²³, 131, F₄, 3, 138) (dual of [(131, 3), 170, 139]-NRT-code), using

constructionÂ X applied to AG(3;F,245P) âŠ‚ AG(3;F,250P) [i] based on
1. linear OOA(4²¹⁹, 128, F₄, 3, 138) (dual of [(128, 3), 165, 139]-NRT-code), using algebraic-geometric NRT-code AG(3;F,245P) [i] based on function field F/F₄ with g(F) = 81 and N(F) ≥ 129, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(4²¹⁴, 128, F₄, 3, 133) (dual of [(128, 3), 170, 134]-NRT-code), using algebraic-geometric NRT-code AG(3;F,250P) [i] based on function field F/F₄ with g(F) = 81 and N(F) ≥ 129 (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.