Information on Result #628465
Linear OA(874, 8194, F8, 19) (dual of [8194, 8120, 20]-code), using trace code based on linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
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(874, 7732, F8, 2, 19) (dual of [(7732, 2), 15390, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(874, 7732, F8, 3, 19) (dual of [(7732, 3), 23122, 20]-NRT-code) | [i] | ||
| 3 | Digital (55, 74, 7732)-net over F8 | [i] | ||
| 4 | Linear OOA(874, 910, F8, 19, 19) (dual of [(910, 19), 17216, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |