Information on Result #1185712
Digital (23, 28, 131071)-net over F4, using net defined by OOA based on linear OOA(428, 131071, F4, 5, 5) (dual of [(131071, 5), 655327, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(428, 262143, F4, 5) (dual of [262143, 262115, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(428, 262144, F4, 5) (dual of [262144, 262116, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(428, 262144, F4, 5) (dual of [262144, 262116, 6]-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 (130, 140, 6841951)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (141, 152, 6841951)-net over F4 | [i] | ||