Information on Result #3208956
Digital (129, 145, 1048575)-net over F4, using t-expansion based on digital (128, 145, 1048575)-net over F4, using
- net defined by OOA [i] based on linear OOA(4145, 1048575, F4, 17, 17) (dual of [(1048575, 17), 17825630, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4145, 8388601, F4, 17) (dual of [8388601, 8388456, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, 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(4145, large, F4, 17) (dual of [large, large−145, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4145, 8388601, F4, 17) (dual of [8388601, 8388456, 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 (130, 146, 1048575)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (131, 147, 1048575)-net over F4 | [i] | ||
| 3 | Digital (132, 148, 1048575)-net over F4 | [i] | ||
| 4 | Digital (133, 149, 1048575)-net over F4 | [i] | ||
| 5 | Digital (134, 150, 1048575)-net over F4 | [i] | ||
| 6 | Digital (135, 151, 1048575)-net over F4 | [i] | ||