Information on Result #694554
Linear OA(25105, 681, F25, 44) (dual of [681, 576, 45]-code), using construction X applied to Ce(43) ⊂ Ce(25) based on
- linear OA(2584, 625, F25, 44) (dual of [625, 541, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(2521, 56, F25, 17) (dual of [56, 35, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2521, 65, F25, 17) (dual of [65, 44, 18]-code), using
- algebraic-geometric code AG(F,47P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- discarding factors / shortening the dual code based on linear OA(2521, 65, F25, 17) (dual of [65, 44, 18]-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.