Information on Result #1034909
Linear OOA(4169, 78, F4, 3, 99) (dual of [(78, 3), 65, 100]-NRT-code), using construction X applied to AG(3;F,95P) ⊂ AG(3;F,114P) based on
- linear OOA(4148, 65, F4, 3, 99) (dual of [(65, 3), 47, 100]-NRT-code), using algebraic-geometric NRT-code AG(3;F,95P) [i] based on function field F/F4 with g(F) = 49 and N(F) ≥ 66, using
- T6 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4129, 65, F4, 3, 80) (dual of [(65, 3), 66, 81]-NRT-code), using algebraic-geometric NRT-code AG(3;F,114P) [i] based on function field F/F4 with g(F) = 49 and N(F) ≥ 66 (see above)
- linear OOA(421, 13, F4, 3, 18) (dual of [(13, 3), 18, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(421, 14, F4, 3, 18) (dual of [(14, 3), 21, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,23P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- discarding factors / shortening the dual code based on linear OOA(421, 14, F4, 3, 18) (dual of [(14, 3), 21, 19]-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.