Information on Result #694560
Linear OA(2594, 682, F25, 38) (dual of [682, 588, 39]-code), using construction X applied to Ce(37) ⊂ Ce(18) based on
- linear OA(2572, 625, F25, 38) (dual of [625, 553, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(2537, 625, F25, 19) (dual of [625, 588, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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.