Information on Result #1192566
Digital (138, 161, 762600)-net over F8, using net defined by OOA based on linear OOA(8161, 762600, F8, 23, 23) (dual of [(762600, 23), 17539639, 24]-NRT-code), using
- OOA 11-folding and stacking with additional row [i] based on linear OA(8161, 8388601, F8, 23) (dual of [8388601, 8388440, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(8161, large, F8, 23) (dual of [large, large−161, 24]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8161, large, F8, 23) (dual of [large, large−161, 24]-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 (139, 161, 762600)-net over F8 | [i] | t-Expansion | |
| 2 | Digital (139, 162, 762600)-net over F8 | [i] | Net Duplication | |
| 3 | Digital (140, 163, 762600)-net over F8 | [i] | ||
| 4 | Digital (141, 164, 762600)-net over F8 | [i] | ||
| 5 | Digital (142, 165, 762600)-net over F8 | [i] | ||
| 6 | Digital (143, 166, 762600)-net over F8 | [i] | ||
| 7 | Digital (144, 167, 762600)-net over F8 | [i] | ||
| 8 | Digital (145, 168, 762600)-net over F8 | [i] | ||
| 9 | Digital (146, 169, 762600)-net over F8 | [i] | ||
| 10 | Digital (147, 170, 762600)-net over F8 | [i] | ||
| 11 | Digital (148, 171, 762600)-net over F8 | [i] | ||
| 12 | Digital (138, 160, 762600)-net over F8 | [i] | m-Reduction | |
| 13 | Digital (149, 172, 762609)-net over F8 | [i] | (u, u+v)-Construction for Nets | |
| 14 | Digital (150, 173, 762614)-net over F8 | [i] | ||