MinT - Information on Result #2814079

Information on Result #2814079

Linear OOA(3²²⁷, 67, F₃, 4, 169) (dual of [(67, 4), 41, 170]-NRT-code), using strength reduction based on linear OOA(3²²⁷, 67, F₃, 4, 170) (dual of [(67, 4), 41, 171]-NRT-code), using

constructionÂ X applied to AG(4;F,81P) âŠ‚ AG(4;F,90P) [i] based on
1. linear OOA(3²¹⁹, 63, F₃, 4, 170) (dual of [(63, 4), 33, 171]-NRT-code), using algebraic-geometric NRT-code AG(4;F,81P) [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(3²¹⁰, 63, F₃, 4, 161) (dual of [(63, 4), 42, 162]-NRT-code), using algebraic-geometric NRT-code AG(4;F,90P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3⁸, 4, F₃, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;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.