Information on Result #3234294
Digital (114, 132, 932067)-net over F9, using t-expansion based on digital (113, 132, 932067)-net over F9, using
- net defined by OOA [i] based on linear OOA(9132, 932067, F9, 21, 19) (dual of [(932067, 21), 19573275, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9132, 2796202, F9, 3, 19) (dual of [(2796202, 3), 8388474, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(9129, 2796201, F9, 3, 19) (dual of [(2796201, 3), 8388474, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9129, large, F9, 19) (dual of [large, large−129, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 916−1, 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(9129, large, F9, 19) (dual of [large, large−129, 20]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(9129, 2796201, F9, 3, 19) (dual of [(2796201, 3), 8388474, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9132, 2796202, F9, 3, 19) (dual of [(2796202, 3), 8388474, 20]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (115, 133, 932067)-net over F9 | [i] | Net Duplication | |
| 2 | Digital (116, 134, 932067)-net over F9 | [i] | ||
| 3 | Digital (117, 135, 932067)-net over F9 | [i] | ||
| 4 | Digital (118, 136, 932067)-net over F9 | [i] | ||