Information on Result #1186214
Digital (78, 90, 174762)-net over F4, using net defined by OOA based on linear OOA(490, 174762, F4, 12, 12) (dual of [(174762, 12), 2097054, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(490, 1048572, F4, 12) (dual of [1048572, 1048482, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(490, 1048575, F4, 12) (dual of [1048575, 1048485, 13]-code), using
- 1 times truncation [i] based on linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 1 times truncation [i] based on linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(490, 1048575, F4, 12) (dual of [1048575, 1048485, 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 (85, 97, 174771)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (86, 98, 174774)-net over F4 | [i] | ||