Information on Result #1034110
Linear OOA(4175, 68, F4, 3, 122) (dual of [(68, 3), 29, 123]-NRT-code), using construction X applied to AG(3;F,72P) ⊂ AG(3;F,77P) based on
- linear OOA(4171, 65, F4, 3, 122) (dual of [(65, 3), 24, 123]-NRT-code), using algebraic-geometric NRT-code AG(3;F,72P) [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(4166, 65, F4, 3, 117) (dual of [(65, 3), 29, 118]-NRT-code), using algebraic-geometric NRT-code AG(3;F,77P) [i] based on function field F/F4 with g(F) = 49 and N(F) ≥ 66 (see above)
- linear OOA(44, 3, F4, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;8,4) [i]
- discarding factors / shortening the dual code based on linear OOA(44, 4, F4, 3, 4) (dual of [(4, 3), 8, 5]-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.