Information on Result #710912
Linear OA(537, 624, F5, 12) (dual of [624, 587, 13]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,10}, 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]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(537, 366, F5, 2, 12) (dual of [(366, 2), 695, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(537, 366, F5, 3, 12) (dual of [(366, 3), 1061, 13]-NRT-code) | [i] | ||
| 3 | Digital (25, 37, 366)-net over F5 | [i] | ||
| 4 | Linear OA(539, 635, F5, 12) (dual of [635, 596, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(541, 632, F5, 13) (dual of [632, 591, 14]-code) | [i] | ✔ | |
| 6 | Linear OA(547, 639, F5, 14) (dual of [639, 592, 15]-code) | [i] | ✔ | |