Information on Result #1842642
(120, 132, 5592402)-net in base 9, using (u, u+v)-construction based on
- (33, 39, 2796201)-net in base 9, using
- base change [i] based on digital (20, 26, 2796201)-net over F27, using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- base change [i] based on digital (20, 26, 2796201)-net over F27, using
- digital (81, 93, 2796201)-net over F9, using
- net defined by OOA [i] based on linear OOA(993, 2796201, F9, 15, 12) (dual of [(2796201, 15), 41942922, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(993, 5592403, F9, 3, 12) (dual of [(5592403, 3), 16777116, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(990, 5592402, F9, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(990, 5592402, F9, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(993, 5592403, F9, 3, 12) (dual of [(5592403, 3), 16777116, 13]-NRT-code), using
- net defined by OOA [i] based on linear OOA(993, 2796201, F9, 15, 12) (dual of [(2796201, 15), 41942922, 13]-NRT-code), using
Mode: Constructive.
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 | (121, 133, 5592402)-net in base 9 | [i] | Net Duplication | |