Information on Result #707506
Linear OA(446, 1023, F4, 12) (dual of [1023, 977, 13]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,6}, and designed minimum distance d ≥ |I|+1 = 13
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(446, 766, F4, 2, 12) (dual of [(766, 2), 1486, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(446, 766, F4, 3, 12) (dual of [(766, 3), 2252, 13]-NRT-code) | [i] | ||
| 3 | Digital (34, 46, 766)-net over F4 | [i] | ||
| 4 | Linear OA(453, 1055, F4, 12) (dual of [1055, 1002, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(452, 1049, F4, 12) (dual of [1049, 997, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(459, 1056, F4, 14) (dual of [1056, 997, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(466, 1063, F4, 15) (dual of [1063, 997, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(465, 1057, F4, 15) (dual of [1057, 992, 16]-code) | [i] | ✔ | |