Information on Result #713544
Linear OA(758, 342, F7, 23) (dual of [342, 284, 24]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {35,36,…,57}, and designed minimum distance d ≥ |I|+1 = 24
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 Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(758, 273, F7, 2, 23) (dual of [(273, 2), 488, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(758, 273, F7, 3, 23) (dual of [(273, 3), 761, 24]-NRT-code) | [i] | ||
| 3 | Digital (35, 58, 273)-net over F7 | [i] | ||
| 4 | Linear OA(768, 367, F7, 24) (dual of [367, 299, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(767, 363, F7, 24) (dual of [363, 296, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(765, 358, F7, 24) (dual of [358, 293, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(763, 353, F7, 24) (dual of [353, 290, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(769, 362, F7, 25) (dual of [362, 293, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(767, 357, F7, 25) (dual of [357, 290, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(783, 367, F7, 30) (dual of [367, 284, 31]-code) | [i] | ✔ | |