Information on Result #694556
Linear OA(25102, 682, F25, 42) (dual of [682, 580, 43]-code), using construction X applied to Ce(41) ⊂ Ce(22) based on
- linear OA(2580, 625, F25, 42) (dual of [625, 545, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(2545, 625, F25, 23) (dual of [625, 580, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2522, 57, F25, 18) (dual of [57, 35, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2522, 65, F25, 18) (dual of [65, 43, 19]-code), using
- algebraic-geometric code AG(F,46P) [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(2522, 65, F25, 18) (dual of [65, 43, 19]-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.