Information on Result #2496868
Linear OOA(489, 142, F4, 2, 31) (dual of [(142, 2), 195, 32]-NRT-code), using 41 times duplication based on linear OOA(488, 142, F4, 2, 31) (dual of [(142, 2), 196, 32]-NRT-code), using
- trace code [i] based on linear OOA(1644, 71, F16, 2, 31) (dual of [(71, 2), 98, 32]-NRT-code), using
- construction X applied to AG(2;F,96P) ⊂ AG(2;F,104P) [i] based on
- linear OOA(1637, 64, F16, 2, 31) (dual of [(64, 2), 91, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,96P) [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(1629, 64, F16, 2, 23) (dual of [(64, 2), 99, 24]-NRT-code), using algebraic-geometric NRT-code AG(2;F,104P) [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(1637, 64, F16, 2, 31) (dual of [(64, 2), 91, 32]-NRT-code), using algebraic-geometric NRT-code AG(2;F,96P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- construction X applied to AG(2;F,96P) ⊂ AG(2;F,104P) [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.