Information on Result #2265317
Linear OA(3213, large, F3, 18) (dual of [large, large−213, 19]-code), using 33 times code embedding in larger space based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(3213, 7134515, F3, 2, 18) (dual of [(7134515, 2), 14268817, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3213, 7134515, F3, 3, 18) (dual of [(7134515, 3), 21403332, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(3213, 7134515, F3, 4, 18) (dual of [(7134515, 4), 28537847, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(3213, 7134515, F3, 5, 18) (dual of [(7134515, 5), 35672362, 19]-NRT-code) | [i] | ||
| 5 | Digital (195, 213, 7134515)-net over F3 | [i] | ||