Information on Result #713345
Linear OA(749, 342, F7, 19) (dual of [342, 293, 20]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−7,−6,…,11}, and designed minimum distance d ≥ |I|+1 = 20
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]
- 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(749, 282, F7, 2, 19) (dual of [(282, 2), 515, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(749, 282, F7, 3, 19) (dual of [(282, 3), 797, 20]-NRT-code) | [i] | ||
| 3 | Digital (30, 49, 282)-net over F7 | [i] | ||
| 4 | Linear OA(760, 376, F7, 19) (dual of [376, 316, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(759, 372, F7, 19) (dual of [372, 313, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(762, 372, F7, 20) (dual of [372, 310, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(768, 379, F7, 22) (dual of [379, 311, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(764, 375, F7, 21) (dual of [375, 311, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(767, 377, F7, 22) (dual of [377, 310, 23]-code) | [i] | ✔ | |