Information on Result #611399
Linear OA(2145, 257, F2, 41) (dual of [257, 112, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound)
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2163, 276, F2, 41) (dual of [276, 113, 42]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2167, 279, F2, 45) (dual of [279, 112, 46]-code) | [i] | ✔ | |
| 3 | Linear OA(2146, 274, F2, 39) (dual of [274, 128, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2149, 265, F2, 41) (dual of [265, 116, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(2150, 273, F2, 41) (dual of [273, 123, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(2151, 279, F2, 41) (dual of [279, 128, 42]-code) | [i] | ✔ | |