Information on Result #694063
Linear OA(25109, 633, F25, 58) (dual of [633, 524, 59]-code), using construction X applied to Ce(57) ⊂ Ce(54) based on
- linear OA(25107, 625, F25, 58) (dual of [625, 518, 59]-code), using an extension Ce(57) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(25101, 625, F25, 55) (dual of [625, 524, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(252, 8, F25, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,25)), using
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), using
- Reed–Solomon code RS(23,25) [i]
- discarding factors / shortening the dual code based on linear OA(252, 25, F25, 2) (dual of [25, 23, 3]-code or 25-arc in PG(1,25)), 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.