Information on Result #713486
Linear OA(752, 342, F7, 20) (dual of [342, 290, 21]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−3,−2,…,16}, and designed minimum distance d ≥ |I|+1 = 21
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [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(752, 302, F7, 2, 20) (dual of [(302, 2), 552, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(752, 302, F7, 3, 20) (dual of [(302, 3), 854, 21]-NRT-code) | [i] | ||
| 3 | Digital (32, 52, 302)-net over F7 | [i] | ||
| 4 | Linear OA(757, 363, F7, 20) (dual of [363, 306, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(755, 357, F7, 20) (dual of [357, 302, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(754, 353, F7, 20) (dual of [353, 299, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(757, 353, F7, 21) (dual of [353, 296, 22]-code) | [i] | ✔ | |