Information on Result #628876
Linear OA(978, 13122, F9, 20) (dual of [13122, 13044, 21]-code), using trace code based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(978, 11394, F9, 2, 20) (dual of [(11394, 2), 22710, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(978, 11394, F9, 3, 20) (dual of [(11394, 3), 34104, 21]-NRT-code) | [i] | ||
| 3 | Digital (58, 78, 11394)-net over F9 | [i] | ||
| 4 | Linear OOA(978, 1312, F9, 20, 20) (dual of [(1312, 20), 26162, 21]-NRT-code) | [i] | OA Folding and Stacking | |