Information on Result #1187078
Digital (145, 166, 419430)-net over F4, using net defined by OOA based on linear OOA(4166, 419430, F4, 21, 21) (dual of [(419430, 21), 8807864, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(4166, 4194301, F4, 21) (dual of [4194301, 4194135, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(4166, 4194304, F4, 21) (dual of [4194304, 4194138, 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 (156, 177, 419439)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (157, 178, 419440)-net over F4 | [i] | ||
| 3 | Digital (158, 179, 419444)-net over F4 | [i] | ||
| 4 | Digital (159, 180, 419445)-net over F4 | [i] | ||