Information on Result #715015
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 = {65,66,…,75}, 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(833, 530, F8, 11) (dual of [530, 497, 12]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(833, 531, F8, 11) (dual of [531, 498, 12]-code) | [i] | ✔ | |
| 6 | Linear OA(831, 526, F8, 11) (dual of [526, 495, 12]-code) | [i] | ✔ | |
| 7 | Linear OA(846, 536, F8, 15) (dual of [536, 490, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(852, 541, F8, 17) (dual of [541, 489, 18]-code) | [i] | ✔ | |
| 9 | Linear OA(851, 537, F8, 17) (dual of [537, 486, 18]-code) | [i] | ✔ | |
| 10 | Linear OA(862, 545, F8, 20) (dual of [545, 483, 21]-code) | [i] | ✔ | |
| 11 | Linear OA(866, 549, F8, 21) (dual of [549, 483, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(871, 554, F8, 22) (dual of [554, 483, 23]-code) | [i] | ✔ | |