Information on Result #711457
Linear OA(585, 624, F5, 27) (dual of [624, 539, 28]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {135,136,…,161}, and designed minimum distance d ≥ |I|+1 = 28
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(585, 552, F5, 2, 27) (dual of [(552, 2), 1019, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(585, 552, F5, 3, 27) (dual of [(552, 3), 1571, 28]-NRT-code) | [i] | ||
3 | Digital (58, 85, 552)-net over F5 | [i] | ||
4 | Linear OA(593, 656, F5, 27) (dual of [656, 563, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(5105, 656, F5, 31) (dual of [656, 551, 32]-code) | [i] | ✔ | |
6 | Linear OA(5109, 660, F5, 32) (dual of [660, 551, 33]-code) | [i] | ✔ | |
7 | Linear OA(5126, 681, F5, 34) (dual of [681, 555, 35]-code) | [i] | ✔ | |
8 | Linear OA(5116, 667, F5, 33) (dual of [667, 551, 34]-code) | [i] | ✔ | |
9 | Linear OA(5115, 664, F5, 33) (dual of [664, 549, 34]-code) | [i] | ✔ | |
10 | Linear OA(5108, 655, F5, 32) (dual of [655, 547, 33]-code) | [i] | ✔ | |
11 | Linear OA(5123, 674, F5, 34) (dual of [674, 551, 35]-code) | [i] | ✔ | |
12 | Linear OA(5122, 671, F5, 34) (dual of [671, 549, 35]-code) | [i] | ✔ | |
13 | Linear OA(5134, 684, F5, 36) (dual of [684, 550, 37]-code) | [i] | ✔ | |
14 | Linear OA(5131, 681, F5, 35) (dual of [681, 550, 36]-code) | [i] | ✔ | |
15 | Linear OA(5131, 677, F5, 36) (dual of [677, 546, 37]-code) | [i] | ✔ |