Information on Result #628401
Linear OA(850, 8194, F8, 13) (dual of [8194, 8144, 14]-code), using trace code based on linear OA(6425, 4097, F64, 13) (dual of [4097, 4072, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(850, 7386, F8, 2, 13) (dual of [(7386, 2), 14722, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(850, 7386, F8, 3, 13) (dual of [(7386, 3), 22108, 14]-NRT-code) | [i] | ||
| 3 | Digital (37, 50, 7386)-net over F8 | [i] | ||
| 4 | Linear OOA(850, 1365, F8, 13, 13) (dual of [(1365, 13), 17695, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |