Information on Result #1205238
Digital (195, 207, large)-net over F4, using trace code for nets based on digital (57, 69, 2796201)-net over F64, using
- net defined by OOA [i] based on linear OOA(6469, 2796201, F64, 15, 12) (dual of [(2796201, 15), 41942946, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(6469, 5592403, F64, 3, 12) (dual of [(5592403, 3), 16777140, 13]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(6466, 5592402, F64, 3, 12) (dual of [(5592402, 3), 16777140, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6421, 2796201, F64, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- 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
- linear OOA(6421, 2796201, F64, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- 1 times NRT-code embedding in larger space [i] based on linear OOA(6466, 5592402, F64, 3, 12) (dual of [(5592402, 3), 16777140, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(6469, 5592403, F64, 3, 12) (dual of [(5592403, 3), 16777140, 13]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (196, 207, large)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (197, 207, large)-net over F4 | [i] | ||
| 3 | Digital (198, 207, large)-net over F4 | [i] | ||
| 4 | Digital (196, 208, large)-net over F4 | [i] | Net Duplication | |
| 5 | Digital (197, 209, large)-net over F4 | [i] | ||
| 6 | Digital (198, 210, large)-net over F4 | [i] | ||
| 7 | Digital (195, 206, large)-net over F4 | [i] | m-Reduction | |
| 8 | Digital (195, 205, large)-net over F4 | [i] | ||
| 9 | Digital (195, 204, large)-net over F4 | [i] | ||
| 10 | Digital (195, 203, large)-net over F4 | [i] | ||
| 11 | Digital (195, 202, large)-net over F4 | [i] | ||
| 12 | Digital (195, 201, large)-net over F4 | [i] | ||
| 13 | Digital (195, 200, large)-net over F4 | [i] | ||
| 14 | Digital (195, 199, large)-net over F4 | [i] | ||
| 15 | Digital (195, 198, large)-net over F4 | [i] | ||