MinT - Information on Result #2813676

Information on Result #2813676

Linear OOA(3²¹³, 99, F₃, 4, 115) (dual of [(99, 4), 183, 116]-NRT-code), using strength reduction based on linear OOA(3²¹³, 99, F₃, 4, 116) (dual of [(99, 4), 183, 117]-NRT-code), using

constructionÂ X applied to AG(4;F,263P) âŠ‚ AG(4;F,272P) [i] based on
1. linear OOA(3²⁰⁵, 95, F₃, 4, 116) (dual of [(95, 4), 175, 117]-NRT-code), using algebraic-geometric NRT-code AG(4;F,263P) [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(3¹⁹⁶, 95, F₃, 4, 107) (dual of [(95, 4), 184, 108]-NRT-code), using algebraic-geometric NRT-code AG(4;F,272P) [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.