Information on Result #711420
Linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,22}, and designed minimum distance d ≥ |I|+1 = 25
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]
- 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 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(577, 574, F5, 2, 24) (dual of [(574, 2), 1071, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(577, 574, F5, 3, 24) (dual of [(574, 3), 1645, 25]-NRT-code) | [i] | ||
| 3 | Digital (53, 77, 574)-net over F5 | [i] | ||
| 4 | Linear OA(579, 639, F5, 24) (dual of [639, 560, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(577, 632, F5, 24) (dual of [632, 555, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(581, 632, F5, 25) (dual of [632, 551, 26]-code) | [i] | ✔ | |