Information on Result #628835
Linear OA(966, 13124, F9, 17) (dual of [13124, 13058, 18]-code), using trace code based on linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(974, 13134, F9, 17) (dual of [13134, 13060, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(975, 13143, F9, 17) (dual of [13143, 13068, 18]-code) | [i] | ||
| 3 | Linear OOA(966, 10950, F9, 2, 17) (dual of [(10950, 2), 21834, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(966, 10950, F9, 3, 17) (dual of [(10950, 3), 32784, 18]-NRT-code) | [i] | ||
| 5 | Digital (49, 66, 10950)-net over F9 | [i] | ||
| 6 | Linear OOA(966, 1640, F9, 17, 17) (dual of [(1640, 17), 27814, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |