MinT - Information on Result #2711258

Information on Result #2711258

Linear OOA(3⁷⁸, 34, F₃, 3, 54) (dual of [(34, 3), 24, 55]-NRT-code), using strength reduction based on linear OOA(3⁷⁸, 34, F₃, 3, 55) (dual of [(34, 3), 24, 56]-NRT-code), using

constructionÂ X applied to AG(3;F,37P) âŠ‚ AG(3;F,42P) [i] based on
1. linear OOA(3⁷⁴, 31, F₃, 3, 55) (dual of [(31, 3), 19, 56]-NRT-code), using algebraic-geometric NRT-code AG(3;F,37P) [i] based on function field F/F₃ with g(F) = 19 and N(F) ≥ 32, using
  - a curve from the manYPoints database [i]
2. linear OOA(3⁶⁹, 31, F₃, 3, 50) (dual of [(31, 3), 24, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,42P) [i] based on function field F/F₃ with g(F) = 19 and N(F) ≥ 32 (see above)
3. linear OOA(3⁴, 3, F₃, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;5,3) [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.