MinT - Information on Result #2537442

Information on Result #2537442

Linear OOA(4¹⁴⁴, 100, F₄, 2, 83) (dual of [(100, 2), 56, 84]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(4¹⁴², 99, F₄, 2, 83) (dual of [(99, 2), 56, 84]-NRT-code), using

constructionÂ X applied to AG(2;F,96P) âŠ‚ AG(2;F,105P) [i] based on
1. linear OOA(4¹³³, 90, F₄, 2, 83) (dual of [(90, 2), 47, 84]-NRT-code), using algebraic-geometric NRT-code AG(2;F,96P) [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(4¹²⁴, 90, F₄, 2, 74) (dual of [(90, 2), 56, 75]-NRT-code), using algebraic-geometric NRT-code AG(2;F,105P) [i] based on function field F/F₄ with g(F) = 50 and N(F) ≥ 91 (see above)
3. linear OOA(4⁹, 9, F₄, 2, 8) (dual of [(9, 2), 9, 9]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [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.