Information on Result #694562
Linear OA(25108, 684, F25, 45) (dual of [684, 576, 46]-code), using construction X applied to Ce(44) ⊂ Ce(25) based on
- linear OA(2586, 625, F25, 45) (dual of [625, 539, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [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(2522, 59, F25, 18) (dual of [59, 37, 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.