Information on Result #1183982
Digital (104, 118, 227762)-net over F3, using net defined by OOA based on linear OOA(3118, 227762, F3, 14, 14) (dual of [(227762, 14), 3188550, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(3118, 1594334, F3, 14) (dual of [1594334, 1594216, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3118, 1594336, F3, 14) (dual of [1594336, 1594218, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(3118, 1594323, F3, 14) (dual of [1594323, 1594205, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3105, 1594323, F3, 13) (dual of [1594323, 1594218, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(30, 13, F3, 0) (dual of [13, 13, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(3118, 1594336, F3, 14) (dual of [1594336, 1594218, 15]-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 (105, 119, 227762)-net over F3 | [i] | Net Duplication | |
| 2 | Digital (106, 120, 227762)-net over F3 | [i] | ||
| 3 | Digital (107, 121, 227762)-net over F3 | [i] | ||
| 4 | Digital (112, 126, 227769)-net over F3 | [i] | (u, u+v)-Construction for Nets | |