Information on Result #686400
Linear OA(849, 2097151, F8, 8) (dual of [2097151, 2097102, 9]-code), using the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(849, 2097151, F8, 2, 8) (dual of [(2097151, 2), 4194253, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(849, 2097151, F8, 3, 8) (dual of [(2097151, 3), 6291404, 9]-NRT-code) | [i] | ||
| 3 | Digital (41, 49, 2097151)-net over F8 | [i] | ||
| 4 | Linear OA(854, 2097157, F8, 8) (dual of [2097157, 2097103, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(855, 2097169, F8, 8) (dual of [2097169, 2097114, 9]-code) | [i] | ||
| 6 | Linear OA(850, 2097160, F8, 8) (dual of [2097160, 2097110, 9]-code) | [i] | ✔ | Construction X4 with Cyclic Codes |
| 7 | Linear OOA(849, 1048575, F8, 2, 8) (dual of [(1048575, 2), 2097101, 9]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(849, 699050, F8, 3, 8) (dual of [(699050, 3), 2097101, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(849, 524287, F8, 8, 8) (dual of [(524287, 8), 4194247, 9]-NRT-code) | [i] | OA Folding and Stacking | |