Information on Result #1771830
Digital (219, 244, 2097151)-net over F3, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3244, 2097151, F3, 4, 25) (dual of [(2097151, 4), 8388360, 26]-NRT-code), using
- 31 times duplication [i] based on linear OOA(3243, 2097151, F3, 4, 25) (dual of [(2097151, 4), 8388361, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3243, 4194302, F3, 2, 25) (dual of [(4194302, 2), 8388361, 26]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3241, 4194301, F3, 2, 25) (dual of [(4194301, 2), 8388361, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3241, 8388602, F3, 25) (dual of [8388602, 8388361, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3241, large, F3, 25) (dual of [large, large−241, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3241, large, F3, 25) (dual of [large, large−241, 26]-code), using
- OOA 2-folding [i] based on linear OA(3241, 8388602, F3, 25) (dual of [8388602, 8388361, 26]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3241, 4194301, F3, 2, 25) (dual of [(4194301, 2), 8388361, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3243, 4194302, F3, 2, 25) (dual of [(4194302, 2), 8388361, 26]-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 (220, 245, 2097151)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (221, 246, 2097151)-net over F3 | [i] | ||