Information on Result #858898
Linear OOA(1666, 41, F16, 2, 51) (dual of [(41, 2), 16, 52]-NRT-code), using OOA 2-folding based on linear OA(1666, 82, F16, 51) (dual of [82, 16, 52]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1665, 81, F16, 51) (dual of [81, 16, 52]-code), using
- construction X applied to AG(F,12P) ⊂ AG(F,21P) [i] based on
- linear OA(1657, 64, F16, 51) (dual of [64, 7, 52]-code), using algebraic-geometric code AG(F,12P) [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(1648, 64, F16, 42) (dual of [64, 16, 43]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(168, 17, F16, 8) (dual of [17, 9, 9]-code or 17-arc in PG(7,16)), using
- extended Reed–Solomon code RSe(9,16) [i]
- linear OA(1657, 64, F16, 51) (dual of [64, 7, 52]-code), using algebraic-geometric code AG(F,12P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- construction X applied to AG(F,12P) ⊂ AG(F,21P) [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.