Information on Result #1191542
Digital (81, 93, 2796201)-net over F8, using net defined by OOA based on linear OOA(893, 2796201, F8, 15, 12) (dual of [(2796201, 15), 41942922, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(893, 5592403, F8, 3, 12) (dual of [(5592403, 3), 16777116, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(890, 5592402, F8, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(890, 5592402, F8, 3, 12) (dual of [(5592402, 3), 16777116, 13]-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 (82, 94, 2796201)-net over F8 | [i] | Net Duplication | |
| 2 | Digital (83, 95, 2796201)-net over F8 | [i] | ||
| 3 | Digital (122, 134, 5592402)-net over F8 | [i] | (u, u+v)-Construction for Nets | |