Information on Result #3228045
Digital (97, 113, 1048575)-net over F8, using t-expansion based on digital (96, 113, 1048575)-net over F8, using
- net defined by OOA [i] based on linear OOA(8113, 1048575, F8, 17, 17) (dual of [(1048575, 17), 17825662, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(8113, 8388601, F8, 17) (dual of [8388601, 8388488, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, 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(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(8113, 8388601, F8, 17) (dual of [8388601, 8388488, 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 (98, 114, 1048575)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (99, 115, 1048575)-net over F8 | [i] | ||
| 3 | Digital (100, 116, 1048575)-net over F8 | [i] | ||
| 4 | Digital (101, 117, 1048575)-net over F8 | [i] | ||
| 5 | Digital (102, 118, 1048575)-net over F8 | [i] | ||
| 6 | Digital (103, 119, 1048575)-net over F8 | [i] | ||