Information on Result #3205565
Digital (65, 73, 2097150)-net over F4, using t-expansion based on digital (64, 73, 2097150)-net over F4, using
- net defined by OOA [i] based on linear OOA(473, 2097150, F4, 9, 9) (dual of [(2097150, 9), 18874277, 10]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(473, 8388601, F4, 9) (dual of [8388601, 8388528, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(473, large, F4, 9) (dual of [large, large−73, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(473, large, F4, 9) (dual of [large, large−73, 10]-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OA(473, 8388601, F4, 9) (dual of [8388601, 8388528, 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 (66, 74, 2097150)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (67, 75, 2097150)-net over F4 | [i] | ||