Information on Result #679394
Linear OA(4205, 4097, F4, 45) (dual of [4097, 3892, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (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 OOA(4205, 4008, F4, 2, 45) (dual of [(4008, 2), 7811, 46]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4205, 4008, F4, 3, 45) (dual of [(4008, 3), 11819, 46]-NRT-code) | [i] | ||
| 3 | Digital (160, 205, 4008)-net over F4 | [i] | ||
| 4 | Linear OA(4218, 4110, F4, 47) (dual of [4110, 3892, 48]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4220, 4103, F4, 49) (dual of [4103, 3883, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(4221, 4113, F4, 49) (dual of [4113, 3892, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(4206, 4110, F4, 45) (dual of [4110, 3904, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(4238, 4121, F4, 51) (dual of [4121, 3883, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(4239, 4131, F4, 51) (dual of [4131, 3892, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(4235, 4118, F4, 50) (dual of [4118, 3883, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(4236, 4128, F4, 50) (dual of [4128, 3892, 51]-code) | [i] | ✔ | |
| 12 | Linear OA(4209, 4114, F4, 45) (dual of [4114, 3905, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(4210, 4126, F4, 45) (dual of [4126, 3916, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(4208, 4118, F4, 44) (dual of [4118, 3910, 45]-code) | [i] | ✔ | |
| 15 | Linear OA(4256, 4140, F4, 53) (dual of [4140, 3884, 54]-code) | [i] | ✔ | |
| 16 | Linear OA(4257, 4149, F4, 53) (dual of [4149, 3892, 54]-code) | [i] | ✔ | |
| 17 | Linear OA(4254, 4146, F4, 52) (dual of [4146, 3892, 53]-code) | [i] | ✔ | |
| 18 | Linear OA(4220, 4140, F4, 45) (dual of [4140, 3920, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(4221, 4149, F4, 45) (dual of [4149, 3928, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(4218, 4146, F4, 44) (dual of [4146, 3928, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(4224, 4162, F4, 45) (dual of [4162, 3938, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(4227, 4167, F4, 45) (dual of [4167, 3940, 46]-code) | [i] | ✔ | |