Information on Result #2631811
Linear OOA(4146, 58, F4, 3, 108) (dual of [(58, 3), 28, 109]-NRT-code), using strength reduction based on linear OOA(4146, 58, F4, 3, 109) (dual of [(58, 3), 28, 110]-NRT-code), using
- construction X applied to AG(3;F,55P) ⊂ AG(3;F,60P) [i] based on
- linear OOA(4142, 55, F4, 3, 109) (dual of [(55, 3), 23, 110]-NRT-code), using algebraic-geometric NRT-code AG(3;F,55P) [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(4137, 55, F4, 3, 104) (dual of [(55, 3), 28, 105]-NRT-code), using algebraic-geometric NRT-code AG(3;F,60P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (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
- linear OOA(4142, 55, F4, 3, 109) (dual of [(55, 3), 23, 110]-NRT-code), using algebraic-geometric NRT-code AG(3;F,55P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56, 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.