Information on Result #715035
Linear OA(828, 511, F8, 11) (dual of [511, 483, 12]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {64,65,…,74}, 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 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(828, 299, F8, 2, 11) (dual of [(299, 2), 570, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(828, 299, F8, 3, 11) (dual of [(299, 3), 869, 12]-NRT-code) | [i] | ||
| 3 | Digital (17, 28, 299)-net over F8 | [i] | ||
| 4 | Linear OA(830, 522, F8, 11) (dual of [522, 492, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(857, 543, F8, 18) (dual of [543, 486, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(863, 544, F8, 20) (dual of [544, 481, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(862, 542, F8, 20) (dual of [542, 480, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(867, 547, F8, 21) (dual of [547, 480, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(871, 551, F8, 22) (dual of [551, 480, 23]-code) | [i] | ✔ | |