Information on Result #713232
Linear OA(725, 342, F7, 10) (dual of [342, 317, 11]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {49,50,…,58}, and designed minimum distance d ≥ |I|+1 = 11
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 Expurgated Narrow-Sense BCH-Codes [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(725, 211, F7, 2, 10) (dual of [(211, 2), 397, 11]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(725, 211, F7, 3, 10) (dual of [(211, 3), 608, 11]-NRT-code) | [i] | ||
| 3 | Digital (15, 25, 211)-net over F7 | [i] | ||
| 4 | Linear OA(729, 358, F7, 10) (dual of [358, 329, 11]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(727, 353, F7, 10) (dual of [353, 326, 11]-code) | [i] | ✔ | |
| 6 | Linear OA(749, 372, F7, 16) (dual of [372, 323, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(748, 369, F7, 16) (dual of [369, 321, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(747, 367, F7, 16) (dual of [367, 320, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(754, 371, F7, 18) (dual of [371, 317, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(759, 376, F7, 19) (dual of [376, 317, 20]-code) | [i] | ✔ | |
| 11 | Linear OA(763, 380, F7, 20) (dual of [380, 317, 21]-code) | [i] | ✔ | |