Information on Result #711566
Linear OA(581, 624, F5, 25) (dual of [624, 543, 26]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {134,135,…,158}, and designed minimum distance d ≥ |I|+1 = 26
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(581, 621, F5, 2, 25) (dual of [(621, 2), 1161, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(581, 621, F5, 3, 25) (dual of [(621, 3), 1782, 26]-NRT-code) | [i] | ||
3 | Digital (56, 81, 621)-net over F5 | [i] | ||
4 | Linear OA(596, 647, F5, 29) (dual of [647, 551, 30]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(5102, 653, F5, 30) (dual of [653, 551, 31]-code) | [i] | ✔ | |
6 | Linear OA(5120, 672, F5, 33) (dual of [672, 552, 34]-code) | [i] | ✔ | |
7 | Linear OA(5119, 668, F5, 33) (dual of [668, 549, 34]-code) | [i] | ✔ | |
8 | Linear OA(5116, 662, F5, 33) (dual of [662, 546, 34]-code) | [i] | ✔ | |
9 | Linear OA(5118, 669, F5, 33) (dual of [669, 551, 34]-code) | [i] | ✔ | |
10 | Linear OA(5117, 665, F5, 33) (dual of [665, 548, 34]-code) | [i] | ✔ | |
11 | Linear OA(5116, 663, F5, 33) (dual of [663, 547, 34]-code) | [i] | ✔ | |
12 | Linear OA(5114, 659, F5, 33) (dual of [659, 545, 34]-code) | [i] | ✔ | |
13 | Linear OA(5124, 670, F5, 34) (dual of [670, 546, 35]-code) | [i] | ✔ | |
14 | Linear OA(5124, 661, F5, 36) (dual of [661, 537, 37]-code) | [i] | ✔ |