Information on Result #1202774
Digital (57, 76, 932067)-net over F81, using net defined by OOA based on linear OOA(8176, 932067, F81, 21, 19) (dual of [(932067, 21), 19573331, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8176, 2796202, F81, 3, 19) (dual of [(2796202, 3), 8388530, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8173, 2796201, F81, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(8173, 2796201, F81, 3, 19) (dual of [(2796201, 3), 8388530, 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 (58, 76, 932067)-net over F81 | [i] | t-Expansion | |
| 2 | Digital (58, 77, 932067)-net over F81 | [i] | Net Duplication | |
| 3 | Digital (59, 78, 932067)-net over F81 | [i] | ||
| 4 | Digital (60, 79, 932067)-net over F81 | [i] | ||
| 5 | Digital (61, 80, 932067)-net over F81 | [i] | ||
| 6 | Digital (62, 81, 932067)-net over F81 | [i] | ||
| 7 | Digital (57, 75, 932067)-net over F81 | [i] | m-Reduction | |