Information on Result #711399
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 = {131,132,…,158}, 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(5100, 661, F5, 28) (dual of [661, 561, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(5112, 656, F5, 33) (dual of [656, 544, 34]-code) | [i] | ✔ | |
| 6 | Linear OA(5110, 653, F5, 33) (dual of [653, 543, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(5117, 660, F5, 34) (dual of [660, 543, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(5124, 667, F5, 35) (dual of [667, 543, 36]-code) | [i] | ✔ | |
| 9 | Linear OA(5140, 673, F5, 39) (dual of [673, 533, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(5145, 679, F5, 40) (dual of [679, 534, 41]-code) | [i] | ✔ | |
| 11 | Linear OA(5147, 680, F5, 41) (dual of [680, 533, 42]-code) | [i] | ✔ | |