Information on Result #2197800
Linear OA(3226, large, F3, 19) (dual of [large, large−226, 20]-code), using strength reduction based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [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(3226, 7408912, F3, 2, 19) (dual of [(7408912, 2), 14817598, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3226, 7408912, F3, 3, 19) (dual of [(7408912, 3), 22226510, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(3226, 7408912, F3, 4, 19) (dual of [(7408912, 4), 29635422, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(3226, 7408912, F3, 5, 19) (dual of [(7408912, 5), 37044334, 20]-NRT-code) | [i] | ||
| 5 | Digital (207, 226, 7408912)-net over F3 | [i] | ||