Information on Result #1191256
Digital (48, 57, 2097150)-net over F8, using net defined by OOA based on linear OOA(857, 2097150, F8, 9, 9) (dual of [(2097150, 9), 18874293, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(857, 8388601, F8, 9) (dual of [8388601, 8388544, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(857, large, F8, 9) (dual of [large, large−57, 10]-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 (49, 57, 2097150)-net over F8 | [i] | t-Expansion | |
| 2 | Digital (49, 58, 2097150)-net over F8 | [i] | Net Duplication | |
| 3 | Digital (50, 59, 2097150)-net over F8 | [i] | ||
| 4 | Digital (51, 60, 2097150)-net over F8 | [i] | ||
| 5 | Digital (52, 61, 2097159)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 6 | Digital (53, 62, 2097164)-net over F8 | [i] | ||
| 7 | Digital (54, 63, 2097178)-net over F8 | [i] | ||
| 8 | Digital (55, 64, 2097215)-net over F8 | [i] | ||
| 9 | Digital (56, 65, 2097280)-net over F8 | [i] | ||