Information on Result #711202
Linear OA(577, 624, F5, 24) (dual of [624, 547, 25]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {135,136,…,158}, and designed minimum distance d ≥ |I|+1 = 25
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 Expurgated Narrow-Sense BCH-Codes [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]
- 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(577, 574, F5, 2, 24) (dual of [(574, 2), 1071, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(577, 574, F5, 3, 24) (dual of [(574, 3), 1645, 25]-NRT-code) | [i] | ||
3 | Digital (53, 77, 574)-net over F5 | [i] | ||
4 | Linear OA(590, 663, F5, 24) (dual of [663, 573, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(598, 653, F5, 29) (dual of [653, 555, 30]-code) | [i] | ✔ | |
6 | Linear OA(5105, 660, F5, 30) (dual of [660, 555, 31]-code) | [i] | ✔ | |
7 | Linear OA(5104, 657, F5, 30) (dual of [657, 553, 31]-code) | [i] | ✔ | |
8 | Linear OA(5103, 654, F5, 30) (dual of [654, 551, 31]-code) | [i] | ✔ | |
9 | Linear OA(5120, 670, F5, 33) (dual of [670, 550, 34]-code) | [i] | ✔ | |
10 | Linear OA(5108, 655, F5, 32) (dual of [655, 547, 33]-code) | [i] | ✔ | |
11 | Linear OA(5135, 680, F5, 37) (dual of [680, 545, 38]-code) | [i] | ✔ | |
12 | Linear OA(5142, 687, F5, 38) (dual of [687, 545, 39]-code) | [i] | ✔ |