Information on Result #1045700
Linear OOA(9150, 100, F9, 3, 92) (dual of [(100, 3), 150, 93]-NRT-code), using construction X applied to AG(3;F,138P) ⊂ AG(3;F,172P) based on
- linear OOA(9114, 77, F9, 3, 92) (dual of [(77, 3), 117, 93]-NRT-code), using algebraic-geometric NRT-code AG(3;F,138P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- linear OOA(980, 77, F9, 3, 58) (dual of [(77, 3), 151, 59]-NRT-code), using algebraic-geometric NRT-code AG(3;F,172P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(936, 23, F9, 3, 33) (dual of [(23, 3), 33, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(936, 28, F9, 3, 33) (dual of [(28, 3), 48, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,50P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,50P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(936, 28, F9, 3, 33) (dual of [(28, 3), 48, 34]-NRT-code), using
Mode: Constructive and 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.