MinT - Information on Result #2888871

Information on Result #2888871

Linear OOA(3¹⁶⁸, 87, F₃, 5, 86) (dual of [(87, 5), 267, 87]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁸, 87, F₃, 5, 87) (dual of [(87, 5), 267, 88]-NRT-code), using

constructionÂ X applied to AG(5;F,327P) âŠ‚ AG(5;F,338P) [i] based on
1. linear OOA(3¹⁵⁸, 83, F₃, 5, 87) (dual of [(83, 5), 257, 88]-NRT-code), using algebraic-geometric NRT-code AG(5;F,327P) [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(3¹⁴⁷, 83, F₃, 5, 76) (dual of [(83, 5), 268, 77]-NRT-code), using algebraic-geometric NRT-code AG(5;F,338P) [i] based on function field F/F₃ with g(F) = 71 and N(F) ≥ 84 (see above)
3. linear OOA(3¹⁰, 4, F₃, 5, 10) (dual of [(4, 5), 10, 11]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;10,3) [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.