Information on Result #679566
Linear OA(4229, 4096, F4, 51) (dual of [4096, 3867, 52]-code), using an extension Ce(50) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(4229, 3994, F4, 2, 51) (dual of [(3994, 2), 7759, 52]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4229, 3994, F4, 3, 51) (dual of [(3994, 3), 11753, 52]-NRT-code) | [i] | ||
| 3 | Digital (178, 229, 3994)-net over F4 | [i] | ||
| 4 | Linear OA(4236, 4103, F4, 53) (dual of [4103, 3867, 54]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4229, 4102, F4, 51) (dual of [4102, 3873, 52]-code) | [i] | ✔ | |
| 6 | Linear OA(4244, 4111, F4, 54) (dual of [4111, 3867, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(4251, 4113, F4, 55) (dual of [4113, 3862, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(4252, 4119, F4, 55) (dual of [4119, 3867, 56]-code) | [i] | ✔ | |
| 9 | Linear OA(4234, 4119, F4, 51) (dual of [4119, 3885, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(4236, 4127, F4, 51) (dual of [4127, 3891, 52]-code) | [i] | ✔ | |
| 11 | Linear OA(4239, 4136, F4, 51) (dual of [4136, 3897, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(4247, 4156, F4, 51) (dual of [4156, 3909, 52]-code) | [i] | ✔ | |
| 13 | Linear OA(4258, 4179, F4, 51) (dual of [4179, 3921, 52]-code) | [i] | ✔ | |
| 14 | Linear OA(4238, 4132, F4, 51) (dual of [4132, 3894, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(4257, 4178, F4, 51) (dual of [4178, 3921, 52]-code) | [i] | ✔ | |
| 16 | Linear OA(4260, 4122, F4, 57) (dual of [4122, 3862, 58]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(4251, 4114, F4, 55) (dual of [4114, 3863, 56]-code) | [i] | ✔ | |
| 18 | Linear OA(4250, 4112, F4, 55) (dual of [4112, 3862, 56]-code) | [i] | ✔ | |
| 19 | Linear OA(4253, 4121, F4, 55) (dual of [4121, 3868, 56]-code) | [i] | ✔ | |
| 20 | Linear OA(4243, 4105, F4, 54) (dual of [4105, 3862, 55]-code) | [i] | ✔ | |
| 21 | Linear OA(4237, 4105, F4, 53) (dual of [4105, 3868, 54]-code) | [i] | ✔ | |
| 22 | Linear OA(4233, 4114, F4, 51) (dual of [4114, 3881, 52]-code) | [i] | ✔ | |
| 23 | Linear OA(4235, 4121, F4, 51) (dual of [4121, 3886, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(4237, 4129, F4, 51) (dual of [4129, 3892, 52]-code) | [i] | ✔ | |