Information on Result #1211643
Digital (189, 223, 3872)-net over F4, using (u, u+v)-construction based on
- digital (5, 22, 17)-net over F4, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- net from sequence [i] based on digital (5, 16)-sequence over F4, using
- digital (167, 201, 3855)-net over F4, using
- net defined by OOA [i] based on linear OOA(4201, 3855, F4, 34, 34) (dual of [(3855, 34), 130869, 35]-NRT-code), using
- OA 17-folding and stacking [i] based on linear OA(4201, 65535, F4, 34) (dual of [65535, 65334, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- discarding factors / shortening the dual code based on linear OA(4201, 65536, F4, 34) (dual of [65536, 65335, 35]-code), using
- OA 17-folding and stacking [i] based on linear OA(4201, 65535, F4, 34) (dual of [65535, 65334, 35]-code), using
- net defined by OOA [i] based on linear OOA(4201, 3855, F4, 34, 34) (dual of [(3855, 34), 130869, 35]-NRT-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 (190, 224, 3872)-net over F4 | [i] | Net Duplication | |