MinT - Information on Result #2891757

Information on Result #2891757

Linear OOA(3²³⁸, 86, F₃, 5, 158) (dual of [(86, 5), 192, 159]-NRT-code), using strength reduction based on linear OOA(3²³⁸, 86, F₃, 5, 160) (dual of [(86, 5), 192, 161]-NRT-code), using

constructionÂ X applied to AG(5;F,254P) âŠ‚ AG(5;F,262P) [i] based on
1. linear OOA(3²³¹, 83, F₃, 5, 160) (dual of [(83, 5), 184, 161]-NRT-code), using algebraic-geometric NRT-code AG(5;F,254P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3²²³, 83, F₃, 5, 152) (dual of [(83, 5), 192, 153]-NRT-code), using algebraic-geometric NRT-code AG(5;F,262P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (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.