Information on Result #694716
Linear OA(2551, 52, F25, 51) (dual of [52, 1, 52]-code or 52-arc in PG(50,25)), using contraction based on linear OA(25103, 104, F25, 103) (dual of [104, 1, 104]-code or 104-arc in PG(102,25)), using the expurgated narrow-sense BCH-code C(I) with length 104 | 252−1, defining interval I = [0,90], and minimum distance d ≥ |{2,17,32,…,−28}|+1 = 104 (BCH-bound) [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2551, 52, F25, 50) (dual of [52, 1, 51]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2586, 232, F25, 51) (dual of [232, 146, 52]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(2554, 57, F25, 51) (dual of [57, 3, 52]-code) | [i] | ✔ | Construction X with Cyclic Codes |