Information on Result #713414
Linear OA(737, 342, F7, 14) (dual of [342, 305, 15]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {45,46,…,58}, and designed minimum distance d ≥ |I|+1 = 15
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(737, 296, F7, 2, 14) (dual of [(296, 2), 555, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(737, 296, F7, 3, 14) (dual of [(296, 3), 851, 15]-NRT-code) | [i] | ||
3 | Digital (23, 37, 296)-net over F7 | [i] | ||
4 | Linear OA(746, 355, F7, 17) (dual of [355, 309, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(741, 349, F7, 16) (dual of [349, 308, 17]-code) | [i] | ✔ | |
6 | Linear OA(745, 353, F7, 17) (dual of [353, 308, 18]-code) | [i] | ✔ | |
7 | Linear OA(763, 380, F7, 20) (dual of [380, 317, 21]-code) | [i] | ✔ | |
8 | Linear OA(750, 358, F7, 18) (dual of [358, 308, 19]-code) | [i] | ✔ | |
9 | Linear OA(762, 376, F7, 20) (dual of [376, 314, 21]-code) | [i] | ✔ | |
10 | Linear OA(755, 363, F7, 19) (dual of [363, 308, 20]-code) | [i] | ✔ | |
11 | Linear OA(760, 371, F7, 20) (dual of [371, 311, 21]-code) | [i] | ✔ | |
12 | Linear OA(759, 367, F7, 20) (dual of [367, 308, 21]-code) | [i] | ✔ | |
13 | Linear OA(766, 376, F7, 21) (dual of [376, 310, 22]-code) | [i] | ✔ | |
14 | Linear OA(771, 379, F7, 23) (dual of [379, 308, 24]-code) | [i] | ✔ | |
15 | Linear OA(763, 368, F7, 22) (dual of [368, 305, 23]-code) | [i] | ✔ | |
16 | Linear OA(767, 372, F7, 23) (dual of [372, 305, 24]-code) | [i] | ✔ | |
17 | Linear OA(772, 377, F7, 24) (dual of [377, 305, 25]-code) | [i] | ✔ | |
18 | Linear OA(781, 386, F7, 26) (dual of [386, 305, 27]-code) | [i] | ✔ |