Information on Result #713251
Linear OA(728, 342, F7, 11) (dual of [342, 314, 12]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {48,49,…,58}, and designed minimum distance d ≥ |I|+1 = 12
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 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(728, 232, F7, 2, 11) (dual of [(232, 2), 436, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(728, 232, F7, 3, 11) (dual of [(232, 3), 668, 12]-NRT-code) | [i] | ||
| 3 | Digital (17, 28, 232)-net over F7 | [i] | ||
| 4 | Linear OA(732, 358, F7, 11) (dual of [358, 326, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(751, 369, F7, 17) (dual of [369, 318, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(746, 363, F7, 16) (dual of [363, 317, 17]-code) | [i] | ✔ | |
| 7 | Linear OA(751, 371, F7, 17) (dual of [371, 320, 18]-code) | [i] | ✔ | |
| 8 | Linear OA(750, 367, F7, 17) (dual of [367, 317, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(757, 371, F7, 19) (dual of [371, 314, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(762, 376, F7, 20) (dual of [376, 314, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(768, 382, F7, 22) (dual of [382, 314, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(772, 386, F7, 23) (dual of [386, 314, 24]-code) | [i] | ✔ | |