Information on Result #1183756
Digital (153, 165, 2796201)-net over F3, using net defined by OOA based on linear OOA(3165, 2796201, F3, 15, 12) (dual of [(2796201, 15), 41942850, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3165, 5592403, F3, 3, 12) (dual of [(5592403, 3), 16777044, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3162, 5592402, F3, 3, 12) (dual of [(5592402, 3), 16777044, 13]-NRT-code), using
- trace code [i] based on linear OOA(981, 2796201, F9, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- trace code [i] based on linear OOA(981, 2796201, F9, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3162, 5592402, F3, 3, 12) (dual of [(5592402, 3), 16777044, 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 (154, 166, 2796201)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (155, 167, 2796201)-net over F3 | [i] | ||