Information on Result #694157
Linear OA(2596, 639, F25, 48) (dual of [639, 543, 49]-code), using construction X applied to Ce(47) ⊂ Ce(42) based on
- linear OA(2592, 625, F25, 48) (dual of [625, 533, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(2582, 625, F25, 43) (dual of [625, 543, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(254, 14, F25, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), 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.