Information on Result #938801
Linear OOA(480, 142, F4, 2, 27) (dual of [(142, 2), 204, 28]-NRT-code), using trace code based on linear OOA(1640, 71, F16, 2, 27) (dual of [(71, 2), 102, 28]-NRT-code), using
- construction X applied to AG(2;F,100P) ⊂ AG(2;F,108P) [i] based on
- linear OOA(1633, 64, F16, 2, 27) (dual of [(64, 2), 95, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,100P) [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(1625, 64, F16, 2, 19) (dual of [(64, 2), 103, 20]-NRT-code), using algebraic-geometric NRT-code AG(2;F,108P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(167, 7, F16, 2, 7) (dual of [(7, 2), 7, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(167, 16, F16, 2, 7) (dual of [(16, 2), 25, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(2;25,16) [i]
- discarding factors / shortening the dual code based on linear OOA(167, 16, F16, 2, 7) (dual of [(16, 2), 25, 8]-NRT-code), using
- linear OOA(1633, 64, F16, 2, 27) (dual of [(64, 2), 95, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,100P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, 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.