Information on Result #713426
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 = {39,40,…,57}, 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(759, 367, F7, 20) (dual of [367, 308, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(760, 353, F7, 23) (dual of [353, 293, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(765, 358, F7, 24) (dual of [358, 293, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(770, 363, F7, 25) (dual of [363, 293, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(774, 367, F7, 26) (dual of [367, 293, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(764, 357, F7, 24) (dual of [357, 293, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(769, 362, F7, 25) (dual of [362, 293, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(799, 388, F7, 32) (dual of [388, 289, 33]-code) | [i] | ✔ | |