Information on Result #645391
Linear OA(1694, 115, F16, 63) (dual of [115, 21, 64]-code), using construction X applied to AG(F,0P) ⊂ AG(F,26P) based on
- linear OA(1663, 64, F16, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- linear OA(1643, 64, F16, 37) (dual of [64, 21, 38]-code), using algebraic-geometric code AG(F,26P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1631, 51, F16, 25) (dual of [51, 20, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(1631, 64, F16, 25) (dual of [64, 33, 26]-code), using
- algebraic-geometric code AG(F,38P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- discarding factors / shortening the dual code based on linear OA(1631, 64, F16, 25) (dual of [64, 33, 26]-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.