Information on Result #715444
Linear OA(857, 511, F8, 21) (dual of [511, 454, 22]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {52,53,…,72}, and designed minimum distance d ≥ |I|+1 = 22
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
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(870, 536, F8, 24) (dual of [536, 466, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(875, 529, F8, 27) (dual of [529, 454, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(874, 526, F8, 27) (dual of [526, 452, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(884, 538, F8, 29) (dual of [538, 454, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(878, 530, F8, 28) (dual of [530, 452, 29]-code) | [i] | ✔ | |