Information on Result #694566
Linear OA(25101, 685, F25, 41) (dual of [685, 584, 42]-code), using construction X applied to Ce(40) ⊂ Ce(20) based on
- 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]
- linear OA(2541, 625, F25, 21) (dual of [625, 584, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2523, 60, F25, 19) (dual of [60, 37, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2523, 65, F25, 19) (dual of [65, 42, 20]-code), using
- algebraic-geometric code AG(F,45P) [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(2523, 65, F25, 19) (dual of [65, 42, 20]-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.