Information on Result #694672
Linear OA(2577, 321, F25, 41) (dual of [321, 244, 42]-code), using construction X applied to Ce(40) ⊂ Ce(36) based on
- linear OA(2574, 313, F25, 41) (dual of [313, 239, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(2569, 313, F25, 37) (dual of [313, 244, 38]-code), using an extension Ce(36) of the narrow-sense BCH-code C(I) with length 312 | 252−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(253, 8, F25, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,25) or 8-cap in PG(2,25)), using
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), using
- Reed–Solomon code RS(22,25) [i]
- discarding factors / shortening the dual code based on linear OA(253, 25, F25, 3) (dual of [25, 22, 4]-code or 25-arc in PG(2,25) or 25-cap in PG(2,25)), 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.