Information on Result #628849
Linear OA(970, 13122, F9, 18) (dual of [13122, 13052, 19]-code), using trace code based on linear OA(8135, 6561, F81, 18) (dual of [6561, 6526, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(979, 13132, F9, 18) (dual of [13132, 13053, 19]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(970, 11073, F9, 2, 18) (dual of [(11073, 2), 22076, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(970, 11073, F9, 3, 18) (dual of [(11073, 3), 33149, 19]-NRT-code) | [i] | ||
| 4 | Digital (52, 70, 11073)-net over F9 | [i] | ||
| 5 | Linear OOA(970, 1458, F9, 18, 18) (dual of [(1458, 18), 26174, 19]-NRT-code) | [i] | OA Folding and Stacking | |