Best Known (20, 20+20, s)-Nets in Base 16
(20, 20+20, 514)-Net over F16 — Constructive and digital
Digital (20, 40, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 20, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
(20, 20+20, 19781)-Net in Base 16 — Upper bound on s
There is no (20, 40, 19782)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 1 462128 675972 755660 719466 403690 475581 783377 480176 > 1640 [i]