MinT - Information on Result #2888500

Information on Result #2888500

Linear OOA(3¹⁵⁷, 58, F₃, 5, 109) (dual of [(58, 5), 133, 110]-NRT-code), using strength reduction based on linear OOA(3¹⁵⁷, 58, F₃, 5, 110) (dual of [(58, 5), 133, 111]-NRT-code), using

constructionÂ X applied to AG(5;F,164P) âŠ‚ AG(5;F,172P) [i] based on
1. linear OOA(3¹⁵⁰, 55, F₃, 5, 110) (dual of [(55, 5), 125, 111]-NRT-code), using algebraic-geometric NRT-code AG(5;F,164P) [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(3¹⁴², 55, F₃, 5, 102) (dual of [(55, 5), 133, 103]-NRT-code), using algebraic-geometric NRT-code AG(5;F,172P) [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.