Information on Result #929783
Linear OOA(1657, 77, F16, 2, 38) (dual of [(77, 2), 97, 39]-NRT-code), using construction X applied to AG(2;F,89P) ⊂ AG(2;F,103P) based on
- linear OOA(1644, 64, F16, 2, 38) (dual of [(64, 2), 84, 39]-NRT-code), using algebraic-geometric NRT-code AG(2;F,89P) [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(1630, 64, F16, 2, 24) (dual of [(64, 2), 98, 25]-NRT-code), using algebraic-geometric NRT-code AG(2;F,103P) [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
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.