Information on Result #707672
Linear OA(451, 1023, F4, 13) (dual of [1023, 972, 14]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {331,332,…,343}, and designed minimum distance d ≥ |I|+1 = 14
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(451, 884, F4, 2, 13) (dual of [(884, 2), 1717, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(451, 884, F4, 3, 13) (dual of [(884, 3), 2601, 14]-NRT-code) | [i] | ||
| 3 | Digital (38, 51, 884)-net over F4 | [i] | ||
| 4 | Linear OA(482, 1064, F4, 19) (dual of [1064, 982, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(489, 1068, F4, 20) (dual of [1068, 979, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(463, 1035, F4, 17) (dual of [1035, 972, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(487, 1059, F4, 21) (dual of [1059, 972, 22]-code) | [i] | ✔ | |