Information on Result #1191682
Digital (88, 101, 2796201)-net over F8, using net defined by OOA based on linear OOA(8101, 2796201, F8, 15, 13) (dual of [(2796201, 15), 41942914, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8101, 5592403, F8, 3, 13) (dual of [(5592403, 3), 16777108, 14]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(898, 5592402, F8, 3, 13) (dual of [(5592402, 3), 16777108, 14]-NRT-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(898, 5592402, F8, 3, 13) (dual of [(5592402, 3), 16777108, 14]-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 (89, 102, 2796201)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (90, 103, 2796201)-net over F8 | [i] | ||
| 3 | Digital (129, 142, 5592402)-net over F8 | [i] | (u, u+v)-Construction for Nets | |