Information on Result #1825157
(33, 52, 729)-net in base 27, using base change based on digital (20, 39, 729)-net over F81, using
- 812 times duplication [i] based on digital (18, 37, 729)-net over F81, using
- net defined by OOA [i] based on linear OOA(8137, 729, F81, 19, 19) (dual of [(729, 19), 13814, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 9-folding and stacking with additional row [i] based on linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using
- net defined by OOA [i] based on linear OOA(8137, 729, F81, 19, 19) (dual of [(729, 19), 13814, 20]-NRT-code), using
Mode: Constructive.
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 | (34, 53, 729)-net in base 27 | [i] | Net Duplication | |