MinT - Information on Result #2814743

Information on Result #2814743

Linear OOA(3²⁴⁶, 122, F₃, 4, 126) (dual of [(122, 4), 242, 127]-NRT-code), using strength reduction based on linear OOA(3²⁴⁶, 122, F₃, 4, 127) (dual of [(122, 4), 242, 128]-NRT-code), using

constructionÂ X applied to AG(4;F,348P) âŠ‚ AG(4;F,355P) [i] based on
1. linear OOA(3²⁴⁰, 119, F₃, 4, 127) (dual of [(119, 4), 236, 128]-NRT-code), using algebraic-geometric NRT-code AG(4;F,348P) [i] based on function field F/F₃ with g(F) = 113 and N(F) ≥ 120, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3²³³, 119, F₃, 4, 120) (dual of [(119, 4), 243, 121]-NRT-code), using algebraic-geometric NRT-code AG(4;F,355P) [i] based on function field F/F₃ with g(F) = 113 and N(F) ≥ 120 (see above)
3. linear OOA(3⁶, 3, F₃, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(4;6,3) [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.