Information on Result #611326
Linear OA(2161, 1025, F2, 33) (dual of [1025, 864, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 220−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (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(2160, 1024, F2, 32) (dual of [1024, 864, 33]-code) | [i] | Truncation | |
| 2 | Linear OA(2175, 1040, F2, 33) (dual of [1040, 865, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2182, 1046, F2, 35) (dual of [1046, 864, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(2186, 1041, F2, 37) (dual of [1041, 855, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2187, 1051, F2, 37) (dual of [1051, 864, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2162, 1046, F2, 31) (dual of [1046, 884, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(2164, 1029, F2, 33) (dual of [1029, 865, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(2165, 1033, F2, 33) (dual of [1033, 868, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2166, 1041, F2, 33) (dual of [1041, 875, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(2167, 1051, F2, 33) (dual of [1051, 884, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(2218, 1065, F2, 41) (dual of [1065, 847, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(2219, 1073, F2, 41) (dual of [1073, 854, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(2220, 1084, F2, 41) (dual of [1084, 864, 42]-code) | [i] | ✔ | |
| 14 | Linear OOA(2161, 205, F2, 5, 33) (dual of [(205, 5), 864, 34]-NRT-code) | [i] | OOA Folding | |