Information on Result #1186202
Digital (69, 81, 43690)-net over F4, using net defined by OOA based on linear OOA(481, 43690, F4, 12, 12) (dual of [(43690, 12), 524199, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(481, 262140, F4, 12) (dual of [262140, 262059, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(481, 262143, F4, 12) (dual of [262143, 262062, 13]-code), using
- 1 times truncation [i] based on linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 1 times truncation [i] based on linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(481, 262143, F4, 12) (dual of [262143, 262062, 13]-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 (76, 88, 43699)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (77, 89, 43702)-net over F4 | [i] | ||