Information on Result #1195066
Digital (34, 46, 21846)-net over F16, using net defined by OOA based on linear OOA(1646, 21846, F16, 12, 12) (dual of [(21846, 12), 262106, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(1646, 131076, F16, 12) (dual of [131076, 131030, 13]-code), using
- trace code [i] based on linear OA(25623, 65538, F256, 12) (dual of [65538, 65515, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(25621, 65536, F256, 11) (dual of [65536, 65515, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- trace code [i] based on linear OA(25623, 65538, F256, 12) (dual of [65538, 65515, 13]-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 (35, 47, 21846)-net over F16 | [i] | Net Duplication | |
| 2 | Digital (40, 52, 21863)-net over F16 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (41, 53, 21870)-net over F16 | [i] | ||
| 4 | Digital (42, 54, 21879)-net over F16 | [i] | ||
| 5 | Digital (43, 55, 21884)-net over F16 | [i] | ||