Information on Result #930790
Linear OOA(16103, 96, F16, 2, 64) (dual of [(96, 2), 89, 65]-NRT-code), using construction X applied to AG(2;F,63P) ⊂ AG(2;F,95P) based on
- linear OOA(1670, 64, F16, 2, 64) (dual of [(64, 2), 58, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,63P) [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(1638, 64, F16, 2, 32) (dual of [(64, 2), 90, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,95P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OOA(1633, 32, F16, 2, 31) (dual of [(32, 2), 31, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1633, 33, F16, 2, 31) (dual of [(33, 2), 33, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,34P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OOA(1633, 33, F16, 2, 31) (dual of [(33, 2), 33, 32]-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.