Information on Result #715042
Linear OA(831, 511, F8, 12) (dual of [511, 480, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {64,65,…,75}, and designed minimum distance d ≥ |I|+1 = 13
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 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(831, 326, F8, 2, 12) (dual of [(326, 2), 621, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(831, 326, F8, 3, 12) (dual of [(326, 3), 947, 13]-NRT-code) | [i] | ||
| 3 | Digital (19, 31, 326)-net over F8 | [i] | ||
| 4 | Linear OA(836, 530, F8, 12) (dual of [530, 494, 13]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(836, 531, F8, 12) (dual of [531, 495, 13]-code) | [i] | ✔ | |
| 6 | Linear OA(834, 526, F8, 12) (dual of [526, 492, 13]-code) | [i] | ✔ | |
| 7 | Linear OA(849, 536, F8, 16) (dual of [536, 487, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(857, 546, F8, 18) (dual of [546, 489, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(855, 541, F8, 18) (dual of [541, 486, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(865, 545, F8, 21) (dual of [545, 480, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(869, 549, F8, 22) (dual of [549, 480, 23]-code) | [i] | ✔ | |