Information on Result #2500671
Linear OOA(4183, 154, F4, 2, 72) (dual of [(154, 2), 125, 73]-NRT-code), using 41 times duplication based on linear OOA(4182, 154, F4, 2, 72) (dual of [(154, 2), 126, 73]-NRT-code), using
- trace code [i] based on linear OOA(1691, 77, F16, 2, 72) (dual of [(77, 2), 63, 73]-NRT-code), using
- construction X applied to AG(2;F,55P) ⊂ AG(2;F,69P) [i] based on
- linear OOA(1678, 64, F16, 2, 72) (dual of [(64, 2), 50, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,55P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OOA(1664, 64, F16, 2, 58) (dual of [(64, 2), 64, 59]-NRT-code), using algebraic-geometric NRT-code AG(2;F,69P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1613, 13, F16, 2, 13) (dual of [(13, 2), 13, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1613, 16, F16, 2, 13) (dual of [(16, 2), 19, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(2;19,16) [i]
- discarding factors / shortening the dual code based on linear OOA(1613, 16, F16, 2, 13) (dual of [(16, 2), 19, 14]-NRT-code), using
- linear OOA(1678, 64, F16, 2, 72) (dual of [(64, 2), 50, 73]-NRT-code), using algebraic-geometric NRT-code AG(2;F,55P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- construction X applied to AG(2;F,55P) ⊂ AG(2;F,69P) [i] based on
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.