Information on Result #611332
Linear OA(2193, 4097, F2, 33) (dual of [4097, 3904, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 224−1, 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(2192, 4096, F2, 32) (dual of [4096, 3904, 33]-code) | [i] | Truncation | |
| 2 | Linear OA(2209, 4114, F2, 33) (dual of [4114, 3905, 34]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(2218, 4122, F2, 35) (dual of [4122, 3904, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(2220, 4101, F2, 37) (dual of [4101, 3881, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2221, 4105, F2, 37) (dual of [4105, 3884, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(2222, 4113, F2, 37) (dual of [4113, 3891, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2223, 4127, F2, 37) (dual of [4127, 3904, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2194, 4122, F2, 31) (dual of [4122, 3928, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(2196, 4101, F2, 33) (dual of [4101, 3905, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(2197, 4105, F2, 33) (dual of [4105, 3908, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(2198, 4113, F2, 33) (dual of [4113, 3915, 34]-code) | [i] | ✔ | |
| 12 | Linear OA(2199, 4127, F2, 33) (dual of [4127, 3928, 34]-code) | [i] | ✔ | |
| 13 | Linear OA(2259, 4145, F2, 41) (dual of [4145, 3886, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(2260, 4161, F2, 41) (dual of [4161, 3901, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(2260, 4162, F2, 41) (dual of [4162, 3902, 42]-code) | [i] | ✔ | |
| 16 | Linear OA(2259, 4161, F2, 41) (dual of [4161, 3902, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(2260, 4164, F2, 41) (dual of [4164, 3904, 42]-code) | [i] | ✔ | |