Information on Result #713171
Linear OA(757, 342, F7, 22) (dual of [342, 285, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(757, 311, F7, 2, 22) (dual of [(311, 2), 565, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(757, 311, F7, 3, 22) (dual of [(311, 3), 876, 23]-NRT-code) | [i] | ||
| 3 | Digital (35, 57, 311)-net over F7 | [i] | ||
| 4 | Linear OA(7110, 394, F7, 35) (dual of [394, 284, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(766, 353, F7, 25) (dual of [353, 287, 26]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(7102, 387, F7, 34) (dual of [387, 285, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(7110, 395, F7, 36) (dual of [395, 285, 37]-code) | [i] | ✔ | |