Information on Result #628945
Linear OA(998, 13124, F9, 25) (dual of [13124, 13026, 26]-code), using trace code based on linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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 OA(9110, 13137, F9, 25) (dual of [13137, 13027, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(998, 12454, F9, 2, 25) (dual of [(12454, 2), 24810, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(998, 12454, F9, 3, 25) (dual of [(12454, 3), 37264, 26]-NRT-code) | [i] | ||
| 4 | Digital (73, 98, 12454)-net over F9 | [i] | ||
| 5 | Linear OOA(998, 1093, F9, 25, 25) (dual of [(1093, 25), 27227, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |