Information on Result #611013
Linear OA(273, 4097, F2, 13) (dual of [4097, 4024, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(272, 4096, F2, 12) (dual of [4096, 4024, 13]-code) | [i] | Truncation | |
| 2 | Linear OA(279, 4104, F2, 13) (dual of [4104, 4025, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2100, 4101, F2, 17) (dual of [4101, 4001, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(2101, 4105, F2, 17) (dual of [4105, 4004, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(2102, 4113, F2, 17) (dual of [4113, 4011, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(2103, 4127, F2, 17) (dual of [4127, 4024, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(276, 4101, F2, 13) (dual of [4101, 4025, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(277, 4105, F2, 13) (dual of [4105, 4028, 14]-code) | [i] | ✔ | |
| 9 | Linear OA(278, 4113, F2, 13) (dual of [4113, 4035, 14]-code) | [i] | ✔ | |