Information on Result #713256
Linear OA(731, 342, F7, 12) (dual of [342, 311, 13]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {46,47,…,57}, and designed minimum distance d ≥ |I|+1 = 13
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 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(731, 254, F7, 2, 12) (dual of [(254, 2), 477, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(731, 254, F7, 3, 12) (dual of [(254, 3), 731, 13]-NRT-code) | [i] | ||
| 3 | Digital (19, 31, 254)-net over F7 | [i] | ||
| 4 | Linear OA(741, 367, F7, 13) (dual of [367, 326, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(742, 353, F7, 16) (dual of [353, 311, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(747, 358, F7, 17) (dual of [358, 311, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(752, 363, F7, 18) (dual of [363, 311, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(756, 367, F7, 19) (dual of [367, 311, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(746, 357, F7, 17) (dual of [357, 311, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(751, 362, F7, 18) (dual of [362, 311, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(776, 383, F7, 24) (dual of [383, 307, 25]-code) | [i] | ✔ | |