Information on Result #1202918
Digital (22, 45, 596)-net over F81, using net defined by OOA based on linear OOA(8145, 596, F81, 23, 23) (dual of [(596, 23), 13663, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(8145, 6557, F81, 23) (dual of [6557, 6512, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-code), using
- an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(8145, 6561, F81, 23) (dual of [6561, 6516, 24]-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 (23, 46, 596)-net over F81 | [i] | Net Duplication | |
| 2 | Digital (22, 44, 596)-net over F81 | [i] | m-Reduction | |
| 3 | Digital (33, 56, 678)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (34, 57, 696)-net over F81 | [i] | ||
| 5 | Digital (35, 58, 712)-net over F81 | [i] | ||
| 6 | Digital (37, 60, 746)-net over F81 | [i] | ||
| 7 | Digital (38, 61, 760)-net over F81 | [i] | ||
| 8 | Digital (39, 62, 778)-net over F81 | [i] | ||
| 9 | Digital (40, 63, 796)-net over F81 | [i] | ||
| 10 | Digital (41, 64, 812)-net over F81 | [i] | ||
| 11 | Digital (42, 65, 828)-net over F81 | [i] | ||
| 12 | (37, 60, 596)-net in base 27 | [i] | Base Change | |