Information on Result #1205193
Digital (56, 62, 5592402)-net over F4, using trace code for nets based on digital (25, 31, 2796201)-net over F16, using
- net defined by OOA [i] based on linear OOA(1631, 2796201, F16, 6, 6) (dual of [(2796201, 6), 16777175, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(1631, large, F16, 6) (dual of [large, large−31, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(1631, large, F16, 6) (dual of [large, large−31, 7]-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 (185, 197, 8388602)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
2 | Digital (196, 209, 8388602)-net over F4 | [i] | ||
3 | Linear OOA(462, 5592402, F4, 3, 6) (dual of [(5592402, 3), 16777144, 7]-NRT-code) | [i] | Extracting Embedded OOA |