Information on Result #713210
Linear OA(722, 342, F7, 9) (dual of [342, 320, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(722, 190, F7, 2, 9) (dual of [(190, 2), 358, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(722, 190, F7, 3, 9) (dual of [(190, 3), 548, 10]-NRT-code) | [i] | ||
3 | Digital (13, 22, 190)-net over F7 | [i] | ||
4 | Linear OA(725, 353, F7, 9) (dual of [353, 328, 10]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(725, 348, F7, 10) (dual of [348, 323, 11]-code) | [i] | ✔ | |
6 | Linear OA(740, 366, F7, 13) (dual of [366, 326, 14]-code) | [i] | ✔ | |
7 | Linear OA(729, 352, F7, 11) (dual of [352, 323, 12]-code) | [i] | ✔ | |
8 | Linear OA(734, 357, F7, 12) (dual of [357, 323, 13]-code) | [i] | ✔ | |
9 | Linear OA(733, 353, F7, 12) (dual of [353, 320, 13]-code) | [i] | ✔ | |
10 | Linear OA(738, 361, F7, 13) (dual of [361, 323, 14]-code) | [i] | ✔ | |
11 | Linear OA(743, 366, F7, 14) (dual of [366, 323, 15]-code) | [i] | ✔ | |
12 | Linear OA(728, 348, F7, 11) (dual of [348, 320, 12]-code) | [i] | ✔ | |
13 | Linear OA(732, 352, F7, 12) (dual of [352, 320, 13]-code) | [i] | ✔ | |
14 | Linear OA(736, 353, F7, 13) (dual of [353, 317, 14]-code) | [i] | ✔ | |
15 | Linear OA(741, 361, F7, 14) (dual of [361, 320, 15]-code) | [i] | ✔ | |
16 | Linear OA(736, 356, F7, 13) (dual of [356, 320, 14]-code) | [i] | ✔ | |
17 | Linear OA(740, 357, F7, 14) (dual of [357, 317, 15]-code) | [i] | ✔ |