MinT - Information on Result #2714347

Information on Result #2714347

Linear OOA(4¹¹⁹, 67, F₄, 3, 81) (dual of [(67, 3), 82, 82]-NRT-code), using strength reduction based on linear OOA(4¹¹⁹, 67, F₄, 3, 82) (dual of [(67, 3), 82, 83]-NRT-code), using

constructionÂ X applied to AG(3;F,109P) âŠ‚ AG(3;F,114P) [i] based on
1. linear OOA(4¹¹⁵, 64, F₄, 3, 82) (dual of [(64, 3), 77, 83]-NRT-code), using algebraic-geometric NRT-code AG(3;F,109P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 65, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(4¹¹⁰, 64, F₄, 3, 77) (dual of [(64, 3), 82, 78]-NRT-code), using algebraic-geometric NRT-code AG(3;F,114P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 65 (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.