Information on Result #3190127
Digital (211, 231, 838860)-net over F2, using t-expansion based on digital (210, 231, 838860)-net over F2, using
- net defined by OOA [i] based on linear OOA(2231, 838860, F2, 21, 21) (dual of [(838860, 21), 17615829, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(2231, 8388601, F2, 21) (dual of [8388601, 8388370, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, 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(2231, large, F2, 21) (dual of [large, large−231, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(2231, 8388601, F2, 21) (dual of [8388601, 8388370, 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 (212, 232, 838860)-net over F2 | [i] | Net Duplication | |
| 2 | Digital (213, 233, 838860)-net over F2 | [i] | ||
| 3 | Digital (214, 234, 838860)-net over F2 | [i] | ||
| 4 | Digital (215, 235, 838860)-net over F2 | [i] | ||
| 5 | Digital (216, 236, 838860)-net over F2 | [i] | ||
| 6 | Digital (217, 237, 838860)-net over F2 | [i] | ||
| 7 | Digital (218, 238, 838860)-net over F2 | [i] | ||
| 8 | Digital (219, 239, 838860)-net over F2 | [i] | ||