Information on Result #711422
Linear OA(589, 624, F5, 28) (dual of [624, 535, 29]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,22}, and designed minimum distance d ≥ |I|+1 = 29
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(589, 595, F5, 2, 28) (dual of [(595, 2), 1101, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(589, 595, F5, 3, 28) (dual of [(595, 3), 1696, 29]-NRT-code) | [i] | ||
| 3 | Digital (61, 89, 595)-net over F5 | [i] | ||
| 4 | Linear OA(598, 657, F5, 28) (dual of [657, 559, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5100, 663, F5, 28) (dual of [663, 563, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(599, 660, F5, 28) (dual of [660, 561, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(5107, 656, F5, 31) (dual of [656, 549, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(5106, 655, F5, 31) (dual of [655, 549, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(5111, 662, F5, 32) (dual of [662, 551, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(5110, 659, F5, 32) (dual of [659, 549, 33]-code) | [i] | ✔ | |
| 11 | Linear OA(5109, 658, F5, 32) (dual of [658, 549, 33]-code) | [i] | ✔ | |