Information on Result #665482
Linear OA(2511, 679, F25, 5) (dual of [679, 668, 6]-code), using generalized (u, u+v)-construction based on
- linear OA(251, 26, F25, 1) (dual of [26, 25, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(251, 26, F25, 1) (dual of [26, 25, 2]-code) (see above)
- linear OA(252, 26, F25, 2) (dual of [26, 24, 3]-code or 26-arc in PG(1,25)), using
- extended Reed–Solomon code RSe(24,25) [i]
- Hamming code H(2,25) [i]
- algebraic-geometric code AG(F, Q+10P) with degQ = 3 and degPÂ =Â 2 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using the rational function field F25(x) [i]
- linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-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.