Best Known (4, 8, s)-Nets in Base 16
(4, 8, 514)-Net over F16 — Constructive and digital
Digital (4, 8, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 4, 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
(4, 8, 6178)-Net in Base 16 — Upper bound on s
There is no (4, 8, 6179)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 4296 135121 > 168 [i]