Information on Result #1010929
Linear OOA(3196, 2796217, F3, 3, 19) (dual of [(2796217, 3), 8388455, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(315, 16, F3, 3, 9) (dual of [(16, 3), 33, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 15, 16)-net over F3, using
- 1 times m-reduction [i] based on digital (6, 16, 16)-net over F3, using
- extracting embedded OOA [i] based on digital (6, 15, 16)-net over F3, using
- linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-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(3196, 2796217, F3, 4, 19) (dual of [(2796217, 4), 11184672, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3196, 2796217, F3, 5, 19) (dual of [(2796217, 5), 13980889, 20]-NRT-code) | [i] | ||
| 3 | Digital (177, 196, 2796217)-net over F3 | [i] | ||
| 4 | Linear OOA(3196, 932072, F3, 21, 19) (dual of [(932072, 21), 19573316, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |