Best Known (104−26, 104, s)-Nets in Base 2
(104−26, 104, 105)-Net over F2 — Constructive and digital
Digital (78, 104, 105)-net over F2, using
- 1 times m-reduction [i] based on digital (78, 105, 105)-net over F2, using
- trace code for nets [i] based on digital (8, 35, 35)-net over F8, using
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- trace code for nets [i] based on digital (8, 35, 35)-net over F8, using
(104−26, 104, 166)-Net over F2 — Digital
Digital (78, 104, 166)-net over F2, using
(104−26, 104, 1432)-Net in Base 2 — Upper bound on s
There is no (78, 104, 1433)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 20 457486 655306 737439 466001 006024 > 2104 [i]