Information on Result #613298
Linear OA(4247, 4096, F4, 55) (dual of [4096, 3849, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55
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(4254, 4103, F4, 57) (dual of [4103, 3849, 58]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4247, 4102, F4, 55) (dual of [4102, 3855, 56]-code) | [i] | ✔ | |
| 3 | Linear OA(4248, 4109, F4, 55) (dual of [4109, 3861, 56]-code) | [i] | ✔ | |
| 4 | Linear OA(4251, 4113, F4, 55) (dual of [4113, 3862, 56]-code) | [i] | ✔ | |
| 5 | Linear OA(4252, 4119, F4, 55) (dual of [4119, 3867, 56]-code) | [i] | ✔ | |
| 6 | Linear OA(4254, 4127, F4, 55) (dual of [4127, 3873, 56]-code) | [i] | ✔ | |
| 7 | Linear OA(4257, 4136, F4, 55) (dual of [4136, 3879, 56]-code) | [i] | ✔ | |
| 8 | Linear OA(4256, 4132, F4, 55) (dual of [4132, 3876, 56]-code) | [i] | ✔ | |
| 9 | Linear OA(4255, 4105, F4, 57) (dual of [4105, 3850, 58]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(4251, 4114, F4, 55) (dual of [4114, 3863, 56]-code) | [i] | ✔ | |
| 11 | Linear OA(4250, 4112, F4, 55) (dual of [4112, 3862, 56]-code) | [i] | ✔ | |
| 12 | Linear OA(4253, 4121, F4, 55) (dual of [4121, 3868, 56]-code) | [i] | ✔ | |
| 13 | Linear OA(4255, 4129, F4, 55) (dual of [4129, 3874, 56]-code) | [i] | ✔ | |