Information on Result #1186640
Digital (95, 112, 32770)-net over F4, using net defined by OOA based on linear OOA(4112, 32770, F4, 17, 17) (dual of [(32770, 17), 556978, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(4112, 262161, F4, 17) (dual of [262161, 262049, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(4112, 262165, F4, 17) (dual of [262165, 262053, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(13) [i] based on
- linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(16) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(4112, 262165, F4, 17) (dual of [262165, 262053, 18]-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 (96, 112, 32770)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (96, 113, 32770)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (95, 111, 32770)-net over F4 | [i] | m-Reduction | |