Information on Result #713459
Linear OA(746, 342, F7, 18) (dual of [342, 296, 19]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−2,−1,…,15}, and designed minimum distance d ≥ |I|+1 = 19
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(746, 261, F7, 2, 18) (dual of [(261, 2), 476, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(746, 261, F7, 3, 18) (dual of [(261, 3), 737, 19]-NRT-code) | [i] | ||
| 3 | Digital (28, 46, 261)-net over F7 | [i] | ||
| 4 | Linear OA(748, 353, F7, 18) (dual of [353, 305, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(747, 352, F7, 18) (dual of [352, 305, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(750, 352, F7, 19) (dual of [352, 302, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(754, 356, F7, 20) (dual of [356, 302, 21]-code) | [i] | ✔ | |