Best Known (34, 68, s)-Nets in Base 16
(34, 68, 514)-Net over F16 — Constructive and digital
Digital (34, 68, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 34, 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
(34, 68, 31347)-Net in Base 16 — Upper bound on s
There is no (34, 68, 31348)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 7589 282538 252664 877685 160830 346373 909781 544809 670904 864708 667679 072481 067368 965591 > 1668 [i]