MinT - Information on Result #2712529

Information on Result #2712529

Linear OOA(3¹⁷⁸, 66, F₃, 3, 124) (dual of [(66, 3), 20, 125]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁸, 66, F₃, 3, 125) (dual of [(66, 3), 20, 126]-NRT-code), using

constructionÂ X applied to AG(3;F,63P) âŠ‚ AG(3;F,68P) [i] based on
1. linear OOA(3¹⁷⁴, 63, F₃, 3, 125) (dual of [(63, 3), 15, 126]-NRT-code), using algebraic-geometric NRT-code AG(3;F,63P) [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(3¹⁶⁹, 63, F₃, 3, 120) (dual of [(63, 3), 20, 121]-NRT-code), using algebraic-geometric NRT-code AG(3;F,68P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (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.