Information on Result #1196568
Digital (64, 81, 1048575)-net over F25, using net defined by OOA based on linear OOA(2581, 1048575, F25, 17, 17) (dual of [(1048575, 17), 17825694, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2581, 8388601, F25, 17) (dual of [8388601, 8388520, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2581, large, F25, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2581, large, F25, 17) (dual of [large, large−81, 18]-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 (65, 81, 1048575)-net over F25 | [i] | t-Expansion | |
| 2 | Digital (65, 82, 1048575)-net over F25 | [i] | Net Duplication | |
| 3 | Digital (66, 83, 1048575)-net over F25 | [i] | ||
| 4 | Digital (67, 84, 1048575)-net over F25 | [i] | ||
| 5 | Digital (68, 85, 1048575)-net over F25 | [i] | ||
| 6 | Digital (69, 86, 1048575)-net over F25 | [i] | ||
| 7 | Digital (70, 87, 1048575)-net over F25 | [i] | ||
| 8 | Digital (71, 88, 1048575)-net over F25 | [i] | ||
| 9 | Digital (64, 80, 1048575)-net over F25 | [i] | m-Reduction | |
| 10 | Digital (72, 89, 1048601)-net over F25 | [i] | (u, u+v)-Construction for Nets | |
| 11 | Digital (73, 90, 1048602)-net over F25 | [i] | ||
| 12 | Digital (74, 91, 1048603)-net over F25 | [i] | ||
| 13 | Digital (75, 92, 1048627)-net over F25 | [i] | ||
| 14 | Digital (76, 93, 1048641)-net over F25 | [i] | ||
| 15 | Digital (79, 96, 1048732)-net over F25 | [i] | ||
| 16 | Digital (81, 98, 1048733)-net over F25 | [i] | ||
| 17 | Digital (82, 99, 1048734)-net over F25 | [i] | ||
| 18 | Digital (83, 100, 1048758)-net over F25 | [i] | ||
| 19 | Digital (84, 101, 1048899)-net over F25 | [i] | ||
| 20 | Digital (85, 102, 1049551)-net over F25 | [i] | ||
| 21 | Digital (86, 103, 1052482)-net over F25 | [i] | ||
| 22 | Digital (87, 104, 1052483)-net over F25 | [i] | ||
| 23 | Digital (88, 105, 1052484)-net over F25 | [i] | ||
| 24 | Digital (89, 106, 1052485)-net over F25 | [i] | ||
| 25 | Digital (90, 107, 1052508)-net over F25 | [i] | ||
| 26 | Digital (91, 108, 1052509)-net over F25 | [i] | ||
| 27 | Digital (92, 109, 1052782)-net over F25 | [i] | ||
| 28 | Digital (93, 110, 1146232)-net over F25 | [i] | ||
| 29 | Digital (78, 95, 1048653)-net over F25 | [i] | ||
| 30 | Digital (84, 101, 1049225)-net over F25 | [i] | ||