Information on Result #1034029
Linear OOA(4194, 78, F4, 3, 122) (dual of [(78, 3), 40, 123]-NRT-code), using construction X applied to AG(3;F,42P) ⊂ AG(3;F,72P) based on
- linear OOA(4155, 55, F4, 3, 122) (dual of [(55, 3), 10, 123]-NRT-code), using algebraic-geometric NRT-code AG(3;F,42P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, using
- F5 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4125, 55, F4, 3, 92) (dual of [(55, 3), 40, 93]-NRT-code), using algebraic-geometric NRT-code AG(3;F,72P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (see above)
- linear OOA(439, 23, F4, 3, 29) (dual of [(23, 3), 30, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(439, 26, F4, 3, 29) (dual of [(26, 3), 39, 30]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,48P) [i] based on function field F/F4 with g(F) = 10 and N(F) ≥ 27, using
- discarding factors / shortening the dual code based on linear OOA(439, 26, F4, 3, 29) (dual of [(26, 3), 39, 30]-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.