Information on Result #1011008
Linear OOA(3231, 2796222, F3, 3, 22) (dual of [(2796222, 3), 8388435, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(320, 21, F3, 3, 11) (dual of [(21, 3), 43, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (9, 20, 21)-net over F3, using
- 1 times m-reduction [i] based on digital (9, 21, 21)-net over F3, using
- extracting embedded OOA [i] based on digital (9, 20, 21)-net over F3, using
- linear OOA(3211, 2796201, F3, 3, 22) (dual of [(2796201, 3), 8388392, 23]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- OOA 3-folding [i] based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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(3231, 2796222, F3, 4, 22) (dual of [(2796222, 4), 11184657, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3231, 2796222, F3, 5, 22) (dual of [(2796222, 5), 13980879, 23]-NRT-code) | [i] | ||
| 3 | Digital (209, 231, 2796222)-net over F3 | [i] | ||