Information on Result #713596
Linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {39,40,…,64}, and designed minimum distance d ≥ |I|+1 = 27
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 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(767, 331, F7, 2, 26) (dual of [(331, 2), 595, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(767, 331, F7, 3, 26) (dual of [(331, 3), 926, 27]-NRT-code) | [i] | ||
3 | Digital (41, 67, 331)-net over F7 | [i] | ||
4 | Linear OA(781, 386, F7, 26) (dual of [386, 305, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(778, 380, F7, 26) (dual of [380, 302, 27]-code) | [i] | ✔ | |
6 | Linear OA(777, 376, F7, 26) (dual of [376, 299, 27]-code) | [i] | ✔ | |
7 | Linear OA(775, 371, F7, 26) (dual of [371, 296, 27]-code) | [i] | ✔ | |
8 | Linear OA(782, 372, F7, 29) (dual of [372, 290, 30]-code) | [i] | ✔ | |
9 | Linear OA(787, 377, F7, 30) (dual of [377, 290, 31]-code) | [i] | ✔ | |
10 | Linear OA(792, 382, F7, 31) (dual of [382, 290, 32]-code) | [i] | ✔ | |
11 | Linear OA(779, 363, F7, 29) (dual of [363, 284, 30]-code) | [i] | ✔ | |
12 | Linear OA(796, 386, F7, 32) (dual of [386, 290, 33]-code) | [i] | ✔ | |
13 | Linear OA(777, 358, F7, 29) (dual of [358, 281, 30]-code) | [i] | ✔ |