Information on Result #1184896
Digital (105, 126, 1968)-net over F3, using net defined by OOA based on linear OOA(3126, 1968, F3, 21, 21) (dual of [(1968, 21), 41202, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(3126, 19681, F3, 21) (dual of [19681, 19555, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3126, 19682, F3, 21) (dual of [19682, 19556, 22]-code), using
- 1 times truncation [i] based on linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 1 times truncation [i] based on linear OA(3127, 19683, F3, 22) (dual of [19683, 19556, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3126, 19682, F3, 21) (dual of [19682, 19556, 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 (116, 137, 1975)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (117, 138, 1976)-net over F3 | [i] | ||
| 3 | Digital (118, 139, 1978)-net over F3 | [i] | ||