MinT - Information on Result #2712040

Information on Result #2712040

Linear OOA(3¹⁴⁴, 73, F₃, 3, 78) (dual of [(73, 3), 75, 79]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁴, 73, F₃, 3, 79) (dual of [(73, 3), 75, 80]-NRT-code), using

constructionÂ X applied to AG(3;F,109P) âŠ‚ AG(3;F,123P) [i] based on
1. linear OOA(3¹²⁸, 63, F₃, 3, 79) (dual of [(63, 3), 61, 80]-NRT-code), using algebraic-geometric NRT-code AG(3;F,109P) [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(3¹¹⁴, 63, F₃, 3, 65) (dual of [(63, 3), 75, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,123P) [i] based on function field F/F₃ with g(F) = 49 and N(F) ≥ 64 (see above)
3. linear OOA(3¹⁶, 10, F₃, 3, 13) (dual of [(10, 3), 14, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [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.