MinT - Information on Result #2888111

Information on Result #2888111

Linear OOA(3¹⁴⁴, 58, F₃, 5, 96) (dual of [(58, 5), 146, 97]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁴, 58, F₃, 5, 97) (dual of [(58, 5), 146, 98]-NRT-code), using

constructionÂ X applied to AG(5;F,177P) âŠ‚ AG(5;F,185P) [i] based on
1. linear OOA(3¹³⁷, 55, F₃, 5, 97) (dual of [(55, 5), 138, 98]-NRT-code), using algebraic-geometric NRT-code AG(5;F,177P) [i] based on function field F/F₃ with g(F) = 40 and N(F) ≥ 56, using
  - a curve from the manYPoints database [i]
2. linear OOA(3¹²⁹, 55, F₃, 5, 89) (dual of [(55, 5), 146, 90]-NRT-code), using algebraic-geometric NRT-code AG(5;F,185P) [i] based on function field F/F₃ with g(F) = 40 and N(F) ≥ 56 (see above)
3. linear OOA(3⁷, 3, F₃, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(5;8,3) [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.