Information on Result #694552
Linear OA(25109, 682, F25, 46) (dual of [682, 573, 47]-code), using construction X applied to Ce(45) ⊂ Ce(27) 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(2552, 625, F25, 28) (dual of [625, 573, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2521, 57, F25, 17) (dual of [57, 36, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2521, 65, F25, 17) (dual of [65, 44, 18]-code), using
- algebraic-geometric code AG(F,47P) [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(2521, 65, F25, 17) (dual of [65, 44, 18]-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.