Information on Result #673007
Linear OA(2181, 1025, F2, 37) (dual of [1025, 844, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(2202, 1046, F2, 39) (dual of [1046, 844, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2206, 1041, F2, 41) (dual of [1041, 835, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(2207, 1051, F2, 41) (dual of [1051, 844, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(2182, 1046, F2, 35) (dual of [1046, 864, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(2186, 1041, F2, 37) (dual of [1041, 855, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2187, 1051, F2, 37) (dual of [1051, 864, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2238, 1065, F2, 45) (dual of [1065, 827, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(2239, 1073, F2, 45) (dual of [1073, 834, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(2240, 1084, F2, 45) (dual of [1084, 844, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(2198, 1065, F2, 37) (dual of [1065, 867, 38]-code) | [i] | ✔ | |