Information on Result #1034102
Linear OOA(4179, 68, F4, 3, 126) (dual of [(68, 3), 25, 127]-NRT-code), using construction X applied to AG(3;F,68P) ⊂ AG(3;F,73P) based on
- linear OOA(4175, 65, F4, 3, 126) (dual of [(65, 3), 20, 127]-NRT-code), using algebraic-geometric NRT-code AG(3;F,68P) [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(4170, 65, F4, 3, 121) (dual of [(65, 3), 25, 122]-NRT-code), using algebraic-geometric NRT-code AG(3;F,73P) [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.