Information on Result #713576
Linear OA(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {34,35,…,57}, 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 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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(761, 293, F7, 2, 24) (dual of [(293, 2), 525, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(761, 293, F7, 3, 24) (dual of [(293, 3), 818, 25]-NRT-code) | [i] | ||
| 3 | Digital (37, 61, 293)-net over F7 | [i] | ||
| 4 | Linear OA(771, 367, F7, 25) (dual of [367, 296, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(770, 363, F7, 25) (dual of [363, 293, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(768, 358, F7, 25) (dual of [358, 290, 26]-code) | [i] | ✔ | |
| 7 | Linear OA(782, 363, F7, 30) (dual of [363, 281, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(786, 367, F7, 31) (dual of [367, 281, 32]-code) | [i] | ✔ | |