Information on Result #3213238
Digital (165, 193, 18726)-net over F4, using t-expansion based on digital (164, 193, 18726)-net over F4, using
- net defined by OOA [i] based on linear OOA(4193, 18726, F4, 29, 29) (dual of [(18726, 29), 542861, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4193, 262165, F4, 29) (dual of [262165, 261972, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- OOA 14-folding and stacking with additional row [i] based on linear OA(4193, 262165, F4, 29) (dual of [262165, 261972, 30]-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 (166, 194, 18726)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (167, 195, 18726)-net over F4 | [i] | ||
| 3 | Digital (168, 196, 18726)-net over F4 | [i] | ||