Information on Result #919522
Linear OOA(4153, 106, F4, 2, 77) (dual of [(106, 2), 59, 78]-NRT-code), using construction X applied to AG(2;F,128P) ⊂ AG(2;F,132P) based on
- linear OOA(4150, 103, F4, 2, 77) (dual of [(103, 2), 56, 78]-NRT-code), using algebraic-geometric NRT-code AG(2;F,128P) [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(4146, 103, F4, 2, 73) (dual of [(103, 2), 60, 74]-NRT-code), using algebraic-geometric NRT-code AG(2;F,132P) [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.