Information on Result #1205321
Digital (55, 62, 5592400)-net over F5, using trace code for nets based on digital (24, 31, 2796200)-net over F25, using
- net defined by OOA [i] based on linear OOA(2531, 2796200, F25, 7, 7) (dual of [(2796200, 7), 19573369, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2531, 8388601, F25, 7) (dual of [8388601, 8388570, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(2531, 8388601, F25, 7) (dual of [8388601, 8388570, 8]-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 (56, 63, 5592400)-net over F5 | [i] | Net Duplication | |
| 2 | Digital (57, 64, 5592400)-net over F5 | [i] | ||
| 3 | Digital (58, 65, 5592406)-net over F5 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (59, 66, 5592426)-net over F5 | [i] | ||
| 5 | Digital (60, 67, 5592466)-net over F5 | [i] | ||
| 6 | Digital (61, 68, 5592586)-net over F5 | [i] | ||
| 7 | Digital (62, 69, 5593075)-net over F5 | [i] | ||
| 8 | Digital (63, 70, 5594115)-net over F5 | [i] | ||
| 9 | Digital (64, 71, 5597100)-net over F5 | [i] | ||
| 10 | Digital (65, 72, 5609524)-net over F5 | [i] | ||
| 11 | Digital (66, 73, 5636276)-net over F5 | [i] | ||
| 12 | Digital (67, 74, 5713140)-net over F5 | [i] | ||
| 13 | Digital (70, 77, large)-net over F5 | [i] | ||
| 14 | Linear OOA(562, 5592400, F5, 3, 7) (dual of [(5592400, 3), 16777138, 8]-NRT-code) | [i] | Extracting Embedded OOA | |