MinT - Information on Result #2717695

Information on Result #2717695

Linear OOA(4²⁵², 114, F₄, 3, 174) (dual of [(114, 3), 90, 175]-NRT-code), using strength reduction based on linear OOA(4²⁵², 114, F₄, 3, 175) (dual of [(114, 3), 90, 176]-NRT-code), using

constructionÂ X applied to AG(3;F,157P) âŠ‚ AG(3;F,162P) [i] based on
1. linear OOA(4²⁴⁸, 111, F₄, 3, 175) (dual of [(111, 3), 85, 176]-NRT-code), using algebraic-geometric NRT-code AG(3;F,157P) [i] based on function field F/F₄ with g(F) = 73 and N(F) ≥ 112, using
  - Drinfeld modules of rank 1 [i]
2. linear OOA(4²⁴³, 111, F₄, 3, 170) (dual of [(111, 3), 90, 171]-NRT-code), using algebraic-geometric NRT-code AG(3;F,162P) [i] based on function field F/F₄ with g(F) = 73 and N(F) ≥ 112 (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.