Information on Result #679561
Linear OA(4253, 4096, F4, 57) (dual of [4096, 3843, 58]-code), using an extension Ce(56) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57
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(4253, 4036, F4, 2, 57) (dual of [(4036, 2), 7819, 58]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4253, 4036, F4, 3, 57) (dual of [(4036, 3), 11855, 58]-NRT-code) | [i] | ||
| 3 | Digital (196, 253, 4036)-net over F4 | [i] | ||
| 4 | Linear OA(4259, 4102, F4, 58) (dual of [4102, 3843, 59]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4254, 4103, F4, 57) (dual of [4103, 3849, 58]-code) | [i] | ✔ | |
| 6 | Linear OA(4254, 4109, F4, 56) (dual of [4109, 3855, 57]-code) | [i] | ✔ | |
| 7 | Linear OA(4256, 4111, F4, 57) (dual of [4111, 3855, 58]-code) | [i] | ✔ | |
| 8 | Linear OA(4258, 4119, F4, 57) (dual of [4119, 3861, 58]-code) | [i] | ✔ | |
| 9 | Linear OA(4256, 4117, F4, 56) (dual of [4117, 3861, 57]-code) | [i] | ✔ | |
| 10 | Linear OA(4255, 4105, F4, 57) (dual of [4105, 3850, 58]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(4255, 4111, F4, 56) (dual of [4111, 3856, 57]-code) | [i] | ✔ | |
| 12 | Linear OA(4260, 4122, F4, 57) (dual of [4122, 3862, 58]-code) | [i] | ✔ | |
| 13 | Linear OOA(4253, 2048, F4, 2, 57) (dual of [(2048, 2), 3843, 58]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(4253, 1365, F4, 3, 57) (dual of [(1365, 3), 3842, 58]-NRT-code) | [i] | ||