MinT - Information on Result #2890852

Information on Result #2890852

Linear OOA(3²¹⁹, 67, F₃, 5, 159) (dual of [(67, 5), 116, 160]-NRT-code), using strength reduction based on linear OOA(3²¹⁹, 67, F₃, 5, 160) (dual of [(67, 5), 116, 161]-NRT-code), using

constructionÂ X applied to AG(5;F,154P) âŠ‚ AG(5;F,165P) [i] based on
1. linear OOA(3²⁰⁹, 63, F₃, 5, 160) (dual of [(63, 5), 106, 161]-NRT-code), using algebraic-geometric NRT-code AG(5;F,154P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64, using
  - a curve from the manYPoints database [i]
2. linear OOA(3¹⁹⁸, 63, F₃, 5, 149) (dual of [(63, 5), 117, 150]-NRT-code), using algebraic-geometric NRT-code AG(5;F,165P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3¹⁰, 4, F₃, 5, 10) (dual of [(4, 5), 10, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;10,3) [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.