Information on Result #1766579
Digital (164, 183, 2097151)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3183, 2097151, F3, 4, 19) (dual of [(2097151, 4), 8388421, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3183, 4194302, F3, 2, 19) (dual of [(4194302, 2), 8388421, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3181, 4194301, F3, 2, 19) (dual of [(4194301, 2), 8388421, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3181, 8388602, F3, 19) (dual of [8388602, 8388421, 20]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- OOA 2-folding [i] based on linear OA(3181, 8388602, F3, 19) (dual of [8388602, 8388421, 20]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3181, 4194301, F3, 2, 19) (dual of [(4194301, 2), 8388421, 20]-NRT-code), using
Mode: 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 (165, 184, 2097151)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (166, 185, 2097151)-net over F3 | [i] | ||