Information on Result #711037
Linear OA(565, 624, F5, 20) (dual of [624, 559, 21]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−7,−6,…,12}, and designed minimum distance d ≥ |I|+1 = 21
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 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(565, 565, F5, 2, 20) (dual of [(565, 2), 1065, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(565, 565, F5, 3, 20) (dual of [(565, 3), 1630, 21]-NRT-code) | [i] | ||
| 3 | Digital (45, 65, 565)-net over F5 | [i] | ||
| 4 | Linear OA(577, 664, F5, 20) (dual of [664, 587, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(576, 661, F5, 20) (dual of [661, 585, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(575, 656, F5, 20) (dual of [656, 581, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(593, 670, F5, 24) (dual of [670, 577, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(593, 675, F5, 24) (dual of [675, 582, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(592, 671, F5, 24) (dual of [671, 579, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(591, 668, F5, 24) (dual of [668, 577, 25]-code) | [i] | ✔ | |