Information on Result #715585
Linear OA(857, 511, F8, 21) (dual of [511, 454, 22]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(857, 509, F8, 2, 21) (dual of [(509, 2), 961, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(857, 509, F8, 3, 21) (dual of [(509, 3), 1470, 22]-NRT-code) | [i] | ||
| 3 | Digital (36, 57, 509)-net over F8 | [i] | ||
| 4 | Linear OA(879, 533, F8, 28) (dual of [533, 454, 29]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(878, 529, F8, 28) (dual of [529, 451, 29]-code) | [i] | ✔ | |
| 6 | Linear OA(888, 542, F8, 30) (dual of [542, 454, 31]-code) | [i] | ✔ | |
| 7 | Linear OA(895, 549, F8, 31) (dual of [549, 454, 32]-code) | [i] | ✔ | |