Information on Result #612583
Linear OA(425, 4096, F4, 6) (dual of [4096, 4071, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6
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 OOA(425, 3020, F4, 2, 6) (dual of [(3020, 2), 6015, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(425, 3020, F4, 3, 6) (dual of [(3020, 3), 9035, 7]-NRT-code) | [i] | ||
| 3 | Digital (19, 25, 3020)-net over F4 | [i] | ||
| 4 | Linear OA(431, 4102, F4, 7) (dual of [4102, 4071, 8]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(425, 4102, F4, 6) (dual of [4102, 4077, 7]-code) | [i] | ✔ | |
| 6 | Linear OA(438, 4109, F4, 8) (dual of [4109, 4071, 9]-code) | [i] | ✔ | |
| 7 | Linear OA(440, 4111, F4, 9) (dual of [4111, 4071, 10]-code) | [i] | ✔ | |
| 8 | Linear OA(447, 4113, F4, 10) (dual of [4113, 4066, 11]-code) | [i] | ✔ | |
| 9 | Linear OA(448, 4119, F4, 10) (dual of [4119, 4071, 11]-code) | [i] | ✔ | |
| 10 | Linear OA(455, 4121, F4, 11) (dual of [4121, 4066, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(439, 4105, F4, 9) (dual of [4105, 4066, 10]-code) | [i] | ✔ | |
| 12 | Linear OA(426, 4104, F4, 6) (dual of [4104, 4078, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(438, 4110, F4, 8) (dual of [4110, 4072, 9]-code) | [i] | ✔ | |