Information on Result #929717
Linear OOA(16123, 77, F16, 2, 104) (dual of [(77, 2), 31, 105]-NRT-code), using construction X applied to AG(2;F,23P) ⊂ AG(2;F,37P) based on
- linear OOA(16110, 64, F16, 2, 104) (dual of [(64, 2), 18, 105]-NRT-code), using algebraic-geometric NRT-code AG(2;F,23P) [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(1696, 64, F16, 2, 90) (dual of [(64, 2), 32, 91]-NRT-code), using algebraic-geometric NRT-code AG(2;F,37P) [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.