MinT - Information on Result #2813385

Information on Result #2813385

Linear OOA(3²⁰³, 99, F₃, 4, 105) (dual of [(99, 4), 193, 106]-NRT-code), using strength reduction based on linear OOA(3²⁰³, 99, F₃, 4, 106) (dual of [(99, 4), 193, 107]-NRT-code), using

constructionÂ X applied to AG(4;F,273P) âŠ‚ AG(4;F,282P) [i] based on
1. linear OOA(3¹⁹⁵, 95, F₃, 4, 106) (dual of [(95, 4), 185, 107]-NRT-code), using algebraic-geometric NRT-code AG(4;F,273P) [i] based on function field F/F₃ with g(F) = 89 and N(F) ≥ 96, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3¹⁸⁶, 95, F₃, 4, 97) (dual of [(95, 4), 194, 98]-NRT-code), using algebraic-geometric NRT-code AG(4;F,282P) [i] based on function field F/F₃ with g(F) = 89 and N(F) ≥ 96 (see above)
3. linear OOA(3⁸, 4, F₃, 4, 8) (dual of [(4, 4), 8, 9]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;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.