MinT - Information on Result #2812373

Information on Result #2812373

Linear OOA(3¹⁶⁶, 87, F₃, 4, 86) (dual of [(87, 4), 182, 87]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁶, 87, F₃, 4, 87) (dual of [(87, 4), 182, 88]-NRT-code), using

constructionÂ X applied to AG(4;F,244P) âŠ‚ AG(4;F,253P) [i] based on
1. linear OOA(3¹⁵⁸, 83, F₃, 4, 87) (dual of [(83, 4), 174, 88]-NRT-code), using algebraic-geometric NRT-code AG(4;F,244P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84, using
  - algebraic function fields over â„¤₃ by Niederreiter/Xing [i]
2. linear OOA(3¹⁴⁹, 83, F₃, 4, 78) (dual of [(83, 4), 183, 79]-NRT-code), using algebraic-geometric NRT-code AG(4;F,253P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (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.