MinT - Information on Result #2888536

Information on Result #2888536

Linear OOA(3¹⁵⁸, 66, F₃, 5, 100) (dual of [(66, 5), 172, 101]-NRT-code), using strength reduction based on linear OOA(3¹⁵⁸, 66, F₃, 5, 102) (dual of [(66, 5), 172, 103]-NRT-code), using

constructionÂ X applied to AG(5;F,212P) âŠ‚ AG(5;F,220P) [i] based on
1. linear OOA(3¹⁵¹, 63, F₃, 5, 102) (dual of [(63, 5), 164, 103]-NRT-code), using algebraic-geometric NRT-code AG(5;F,212P) [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(3¹⁴³, 63, F₃, 5, 94) (dual of [(63, 5), 172, 95]-NRT-code), using algebraic-geometric NRT-code AG(5;F,220P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (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.