Information on Result #713358
Linear OA(746, 342, F7, 18) (dual of [342, 296, 19]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {41,42,…,58}, and designed minimum distance d ≥ |I|+1 = 19
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(746, 261, F7, 2, 18) (dual of [(261, 2), 476, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(746, 261, F7, 3, 18) (dual of [(261, 3), 737, 19]-NRT-code) | [i] | ||
3 | Digital (28, 46, 261)-net over F7 | [i] | ||
4 | Linear OA(754, 369, F7, 18) (dual of [369, 315, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(753, 367, F7, 18) (dual of [367, 314, 19]-code) | [i] | ✔ | |
6 | Linear OA(752, 363, F7, 18) (dual of [363, 311, 19]-code) | [i] | ✔ | |
7 | Linear OA(750, 358, F7, 18) (dual of [358, 308, 19]-code) | [i] | ✔ | |
8 | Linear OA(775, 386, F7, 24) (dual of [386, 311, 25]-code) | [i] | ✔ | |
9 | Linear OA(774, 382, F7, 24) (dual of [382, 308, 25]-code) | [i] | ✔ | |
10 | Linear OA(772, 377, F7, 24) (dual of [377, 305, 25]-code) | [i] | ✔ | |
11 | Linear OA(769, 369, F7, 24) (dual of [369, 300, 25]-code) | [i] | ✔ | |
12 | Linear OA(764, 363, F7, 23) (dual of [363, 299, 24]-code) | [i] | ✔ | |
13 | Linear OA(769, 371, F7, 24) (dual of [371, 302, 25]-code) | [i] | ✔ | |
14 | Linear OA(768, 367, F7, 24) (dual of [367, 299, 25]-code) | [i] | ✔ | |
15 | Linear OA(775, 371, F7, 26) (dual of [371, 296, 27]-code) | [i] | ✔ | |
16 | Linear OA(780, 376, F7, 27) (dual of [376, 296, 28]-code) | [i] | ✔ | |
17 | Linear OA(786, 382, F7, 29) (dual of [382, 296, 30]-code) | [i] | ✔ | |
18 | Linear OA(790, 386, F7, 30) (dual of [386, 296, 31]-code) | [i] | ✔ |