Information on Result #3211952
Digital (161, 181, 838860)-net over F4, using t-expansion based on digital (160, 181, 838860)-net over F4, using
- net defined by OOA [i] based on linear OOA(4181, 838860, F4, 21, 21) (dual of [(838860, 21), 17615879, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4181, 8388601, F4, 21) (dual of [8388601, 8388420, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(4181, large, F4, 21) (dual of [large, large−181, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4181, 8388601, F4, 21) (dual of [8388601, 8388420, 22]-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 (162, 182, 838860)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (163, 183, 838860)-net over F4 | [i] | ||
| 3 | Digital (164, 184, 838860)-net over F4 | [i] | ||
| 4 | Digital (165, 185, 838860)-net over F4 | [i] | ||
| 5 | Digital (166, 186, 838860)-net over F4 | [i] | ||
| 6 | Digital (167, 187, 838860)-net over F4 | [i] | ||
| 7 | Digital (168, 188, 838860)-net over F4 | [i] | ||
| 8 | Digital (169, 189, 838860)-net over F4 | [i] | ||