Information on Result #1192428
Digital (124, 145, 838860)-net over F8, using net defined by OOA based on linear OOA(8145, 838860, F8, 21, 21) (dual of [(838860, 21), 17615915, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(8145, 8388601, F8, 21) (dual of [8388601, 8388456, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F8, 21) (dual of [large, large−145, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8145, large, F8, 21) (dual of [large, large−145, 22]-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 (125, 145, 838860)-net over F8 | [i] | t-Expansion | |
2 | Digital (125, 146, 838860)-net over F8 | [i] | Net Duplication | |
3 | Digital (126, 147, 838860)-net over F8 | [i] | ||
4 | Digital (127, 148, 838860)-net over F8 | [i] | ||
5 | Digital (128, 149, 838860)-net over F8 | [i] | ||
6 | Digital (129, 150, 838860)-net over F8 | [i] | ||
7 | Digital (130, 151, 838860)-net over F8 | [i] | ||
8 | Digital (131, 152, 838860)-net over F8 | [i] | ||
9 | Digital (132, 153, 838860)-net over F8 | [i] | ||
10 | Digital (133, 154, 838860)-net over F8 | [i] | ||
11 | Digital (124, 144, 838860)-net over F8 | [i] | m-Reduction | |
12 | Digital (134, 155, 838869)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
13 | Digital (135, 156, 838874)-net over F8 | [i] | ||
14 | Digital (136, 157, 838877)-net over F8 | [i] | ||
15 | Digital (137, 158, 838884)-net over F8 | [i] | ||
16 | Digital (138, 159, 838885)-net over F8 | [i] | ||
17 | Digital (139, 160, 838888)-net over F8 | [i] | ||
18 | (140, 161, 838893)-net in base 8 | [i] |