Information on Result #1186312
Digital (81, 94, 174766)-net over F4, using net defined by OOA based on linear OOA(494, 174766, F4, 13, 13) (dual of [(174766, 13), 2271864, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(494, 1048597, F4, 13) (dual of [1048597, 1048503, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(9) [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]
- linear OA(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(12) ⊂ Ce(9) [i] based on
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 (82, 94, 174766)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (82, 95, 174766)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (81, 93, 174766)-net over F4 | [i] | m-Reduction | |