Information on Result #611153
Linear OA(2121, 4097, F2, 21) (dual of [4097, 3976, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2120, 4096, F2, 20) (dual of [4096, 3976, 21]-code) | [i] | Truncation | |
| 2 | Linear OA(2131, 4108, F2, 21) (dual of [4108, 3977, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2148, 4101, F2, 25) (dual of [4101, 3953, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(2149, 4105, F2, 25) (dual of [4105, 3956, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2150, 4113, F2, 25) (dual of [4113, 3963, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(2151, 4127, F2, 25) (dual of [4127, 3976, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(2124, 4101, F2, 21) (dual of [4101, 3977, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2125, 4105, F2, 21) (dual of [4105, 3980, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(2126, 4113, F2, 21) (dual of [4113, 3987, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(2127, 4127, F2, 21) (dual of [4127, 4000, 22]-code) | [i] | ✔ | |