Information on Result #1198520
Digital (52, 79, 1514)-net over F27, using net defined by OOA based on linear OOA(2779, 1514, F27, 27, 27) (dual of [(1514, 27), 40799, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(2779, 19683, F27, 27) (dual of [19683, 19604, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2779, 19684, F27, 27) (dual of [19684, 19605, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 19684 | 276−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2779, 19684, F27, 27) (dual of [19684, 19605, 28]-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 (53, 80, 1514)-net over F27 | [i] | Net Duplication | |
| 2 | Digital (54, 81, 1514)-net over F27 | [i] | ||
| 3 | Digital (52, 78, 1514)-net over F27 | [i] | m-Reduction | |
| 4 | (72, 99, 1630)-net in base 27 | [i] | (u, u+v)-Construction for Nets | |
| 5 | (76, 103, 1674)-net in base 27 | [i] | ||