Information on Result #713417
Linear OA(734, 342, F7, 13) (dual of [342, 308, 14]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {45,46,…,57}, and designed minimum distance d ≥ |I|+1 = 14
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(734, 275, F7, 2, 13) (dual of [(275, 2), 516, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(734, 275, F7, 3, 13) (dual of [(275, 3), 791, 14]-NRT-code) | [i] | ||
| 3 | Digital (21, 34, 275)-net over F7 | [i] | ||
| 4 | Linear OA(741, 349, F7, 16) (dual of [349, 308, 17]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(745, 353, F7, 17) (dual of [353, 308, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(750, 358, F7, 18) (dual of [358, 308, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(755, 363, F7, 19) (dual of [363, 308, 20]-code) | [i] | ✔ | |
| 8 | Linear OA(759, 367, F7, 20) (dual of [367, 308, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(771, 379, F7, 23) (dual of [379, 308, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(749, 357, F7, 18) (dual of [357, 308, 19]-code) | [i] | ✔ | |
| 11 | Linear OA(775, 383, F7, 24) (dual of [383, 308, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(780, 388, F7, 25) (dual of [388, 308, 26]-code) | [i] | ✔ | |