Information on Result #665814
Linear OA(2598, 651, F25, 41) (dual of [651, 553, 42]-code), using (u, u+v)-construction based on
- linear OA(2520, 26, F25, 20) (dual of [26, 6, 21]-code or 26-arc in PG(19,25)), using
- extended Reed–Solomon code RSe(6,25) [i]
- algebraic-geometric code AG(F, Q+1P) 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]
- algebraic-geometric code AG(F, Q+1P) with degQ = 2 and degPÂ =Â 3 [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26 (see above)
- linear OA(2578, 625, F25, 41) (dual of [625, 547, 42]-code), using
- an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
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.