Information on Result #919500
Linear OOA(4164, 106, F4, 2, 88) (dual of [(106, 2), 48, 89]-NRT-code), using construction X applied to AG(2;F,117P) ⊂ AG(2;F,121P) based on
- linear OOA(4161, 103, F4, 2, 88) (dual of [(103, 2), 45, 89]-NRT-code), using algebraic-geometric NRT-code AG(2;F,117P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- linear OOA(4157, 103, F4, 2, 84) (dual of [(103, 2), 49, 85]-NRT-code), using algebraic-geometric NRT-code AG(2;F,121P) [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104 (see above)
- linear OOA(43, 3, F4, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(43, 4, F4, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;5,4) [i]
- discarding factors / shortening the dual code based on linear OOA(43, 4, F4, 2, 3) (dual of [(4, 2), 5, 4]-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.