Information on Result #1186178
Digital (51, 63, 2730)-net over F4, using net defined by OOA based on linear OOA(463, 2730, F4, 12, 12) (dual of [(2730, 12), 32697, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(463, 16380, F4, 12) (dual of [16380, 16317, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(463, 16383, F4, 12) (dual of [16383, 16320, 13]-code), using
- 1 times truncation [i] based on linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 1 times truncation [i] based on linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(463, 16383, F4, 12) (dual of [16383, 16320, 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 (58, 70, 2739)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (59, 71, 2742)-net over F4 | [i] | ||