Information on Result #612593
Linear OA(431, 4096, F4, 7) (dual of [4096, 4065, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7
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(434, 4102, F4, 7) (dual of [4102, 4068, 8]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(431, 3554, F4, 2, 7) (dual of [(3554, 2), 7077, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(431, 3554, F4, 3, 7) (dual of [(3554, 3), 10631, 8]-NRT-code) | [i] | ||
| 4 | Digital (24, 31, 3554)-net over F4 | [i] | ||
| 5 | Linear OA(438, 4103, F4, 9) (dual of [4103, 4065, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(431, 4102, F4, 7) (dual of [4102, 4071, 8]-code) | [i] | ✔ | |
| 7 | Linear OA(446, 4111, F4, 10) (dual of [4111, 4065, 11]-code) | [i] | ✔ | |
| 8 | Linear OA(432, 4109, F4, 7) (dual of [4109, 4077, 8]-code) | [i] | ✔ | |
| 9 | Linear OA(454, 4119, F4, 11) (dual of [4119, 4065, 12]-code) | [i] | ✔ | |
| 10 | Linear OA(462, 4122, F4, 13) (dual of [4122, 4060, 14]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(455, 4121, F4, 11) (dual of [4121, 4066, 12]-code) | [i] | ✔ | |
| 12 | Linear OA(445, 4105, F4, 10) (dual of [4105, 4060, 11]-code) | [i] | ✔ | |
| 13 | Linear OA(439, 4105, F4, 9) (dual of [4105, 4066, 10]-code) | [i] | ✔ | |
| 14 | Linear OA(432, 4110, F4, 7) (dual of [4110, 4078, 8]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |