MinT - Information on Result #2892364

Information on Result #2892364

Linear OOA(3²⁵⁰, 86, F₃, 5, 170) (dual of [(86, 5), 180, 171]-NRT-code), using strength reduction based on linear OOA(3²⁵⁰, 86, F₃, 5, 172) (dual of [(86, 5), 180, 173]-NRT-code), using

constructionÂ X applied to AG(5;F,242P) âŠ‚ AG(5;F,250P) [i] based on
1. linear OOA(3²⁴³, 83, F₃, 5, 172) (dual of [(83, 5), 172, 173]-NRT-code), using algebraic-geometric NRT-code AG(5;F,242P) [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(3²³⁵, 83, F₃, 5, 164) (dual of [(83, 5), 180, 165]-NRT-code), using algebraic-geometric NRT-code AG(5;F,250P) [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.