Information on Result #1045349
Linear OOA(9126, 90, F9, 3, 84) (dual of [(90, 3), 144, 85]-NRT-code), using construction X applied to AG(3;F,146P) ⊂ AG(3;F,166P) based on
- linear OOA(9106, 77, F9, 3, 84) (dual of [(77, 3), 125, 85]-NRT-code), using algebraic-geometric NRT-code AG(3;F,146P) [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(986, 77, F9, 3, 64) (dual of [(77, 3), 145, 65]-NRT-code), using algebraic-geometric NRT-code AG(3;F,166P) [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78 (see above)
- linear OOA(920, 13, F9, 3, 19) (dual of [(13, 3), 19, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(920, 16, F9, 3, 19) (dual of [(16, 3), 28, 20]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,28P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(920, 16, F9, 3, 19) (dual of [(16, 3), 28, 20]-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.