Information on Result #612945
Linear OA(4121, 4097, F4, 27) (dual of [4097, 3976, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(4137, 4116, F4, 27) (dual of [4116, 3979, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4138, 4118, F4, 27) (dual of [4118, 3980, 28]-code) | [i] | ||
| 3 | Linear OA(4133, 4110, F4, 27) (dual of [4110, 3977, 28]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 4 | Linear OA(4134, 4110, F4, 29) (dual of [4110, 3976, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(4122, 4110, F4, 27) (dual of [4110, 3988, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(4154, 4121, F4, 33) (dual of [4121, 3967, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(4155, 4131, F4, 33) (dual of [4131, 3976, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(4151, 4118, F4, 32) (dual of [4118, 3967, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(4152, 4128, F4, 32) (dual of [4128, 3976, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(4149, 4114, F4, 31) (dual of [4114, 3965, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(4150, 4126, F4, 31) (dual of [4126, 3976, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(4148, 4118, F4, 30) (dual of [4118, 3970, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(4130, 4121, F4, 27) (dual of [4121, 3991, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(4131, 4131, F4, 27) (dual of [4131, 4000, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4127, 4118, F4, 26) (dual of [4118, 3991, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(4128, 4128, F4, 26) (dual of [4128, 4000, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4172, 4140, F4, 35) (dual of [4140, 3968, 36]-code) | [i] | ✔ | |
| 18 | Linear OA(4173, 4149, F4, 35) (dual of [4149, 3976, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(4170, 4146, F4, 34) (dual of [4146, 3976, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(4136, 4140, F4, 27) (dual of [4140, 4004, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(4137, 4149, F4, 27) (dual of [4149, 4012, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(4188, 4162, F4, 37) (dual of [4162, 3974, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(4154, 4130, F4, 33) (dual of [4130, 3976, 34]-code) | [i] | ✔ | |