Information on Result #1186876
Digital (153, 172, 932067)-net over F4, using net defined by OOA based on linear OOA(4172, 932067, F4, 21, 19) (dual of [(932067, 21), 19573235, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4172, 2796202, F4, 3, 19) (dual of [(2796202, 3), 8388434, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4169, 2796201, F4, 3, 19) (dual of [(2796201, 3), 8388434, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4169, 2796201, F4, 3, 19) (dual of [(2796201, 3), 8388434, 20]-NRT-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 (154, 173, 932067)-net over F4 | [i] | Net Duplication | |
2 | Digital (155, 174, 932067)-net over F4 | [i] | ||
3 | Digital (156, 175, 932067)-net over F4 | [i] | ||
4 | Digital (157, 176, 932067)-net over F4 | [i] | ||
5 | Digital (158, 177, 932067)-net over F4 | [i] |