Information on Result #1211601
Digital (181, 214, 4113)-net over F4, using (u, u+v)-construction based on
- digital (5, 21, 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 (160, 193, 4096)-net over F4, using
- net defined by OOA [i] based on linear OOA(4193, 4096, F4, 33, 33) (dual of [(4096, 33), 134975, 34]-NRT-code), using
- OOA 16-folding and stacking with additional row [i] based on linear OA(4193, 65537, F4, 33) (dual of [65537, 65344, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- OOA 16-folding and stacking with additional row [i] based on linear OA(4193, 65537, F4, 33) (dual of [65537, 65344, 34]-code), using
- net defined by OOA [i] based on linear OOA(4193, 4096, F4, 33, 33) (dual of [(4096, 33), 134975, 34]-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 (182, 214, 4113)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (182, 215, 4113)-net over F4 | [i] | Net Duplication | |