Information on Result #713381
Linear OA(749, 342, F7, 19) (dual of [342, 293, 20]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {46,47,…,64}, and designed minimum distance d ≥ |I|+1 = 20
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 Expurgated Narrow-Sense BCH-Codes [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(749, 282, F7, 2, 19) (dual of [(282, 2), 515, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(749, 282, F7, 3, 19) (dual of [(282, 3), 797, 20]-NRT-code) | [i] | ||
3 | Digital (30, 49, 282)-net over F7 | [i] | ||
4 | Linear OA(760, 380, F7, 19) (dual of [380, 320, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(759, 376, F7, 19) (dual of [376, 317, 20]-code) | [i] | ✔ | |
6 | Linear OA(757, 371, F7, 19) (dual of [371, 314, 20]-code) | [i] | ✔ | |
7 | Linear OA(764, 372, F7, 22) (dual of [372, 308, 23]-code) | [i] | ✔ | |
8 | Linear OA(769, 377, F7, 23) (dual of [377, 308, 24]-code) | [i] | ✔ | |
9 | Linear OA(774, 382, F7, 24) (dual of [382, 308, 25]-code) | [i] | ✔ | |
10 | Linear OA(761, 363, F7, 22) (dual of [363, 302, 23]-code) | [i] | ✔ | |
11 | Linear OA(778, 386, F7, 25) (dual of [386, 308, 26]-code) | [i] | ✔ | |
12 | Linear OA(759, 358, F7, 22) (dual of [358, 299, 23]-code) | [i] | ✔ |