Information on Result #919240
Linear OOA(489, 58, F4, 2, 53) (dual of [(58, 2), 27, 54]-NRT-code), using construction X applied to AG(2;F,56P) ⊂ AG(2;F,60P) based on
- linear OOA(486, 55, F4, 2, 53) (dual of [(55, 2), 24, 54]-NRT-code), using algebraic-geometric NRT-code AG(2;F,56P) [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(482, 55, F4, 2, 49) (dual of [(55, 2), 28, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,60P) [i] based on function field F/F4 with g(F) = 33 and N(F) ≥ 56 (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.