Information on Result #694561
Linear OA(25110, 685, F25, 46) (dual of [685, 575, 47]-code), using construction X applied to Ce(45) ⊂ Ce(26) based on
- linear OA(2588, 625, F25, 46) (dual of [625, 537, 47]-code), using an extension Ce(45) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,45], and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(2550, 625, F25, 27) (dual of [625, 575, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2522, 60, F25, 18) (dual of [60, 38, 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.