Information on Result #710819
Linear OA(521, 624, F5, 7) (dual of [624, 603, 8]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {151,152,…,157}, and designed minimum distance d ≥ |I|+1 = 8
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 Expurgated Narrow-Sense BCH-Codes [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(521, 404, F5, 2, 7) (dual of [(404, 2), 787, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(521, 404, F5, 3, 7) (dual of [(404, 3), 1191, 8]-NRT-code) | [i] | ||
| 3 | Digital (14, 21, 404)-net over F5 | [i] | ||
| 4 | Linear OA(524, 639, F5, 7) (dual of [639, 615, 8]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(522, 633, F5, 7) (dual of [633, 611, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(538, 645, F5, 11) (dual of [645, 607, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(546, 649, F5, 13) (dual of [649, 603, 14]-code) | [i] | ✔ | |
| 8 | Linear OA(552, 655, F5, 14) (dual of [655, 603, 15]-code) | [i] | ✔ | |