Best Known (30, 30+30, s)-Nets in Base 16
(30, 30+30, 514)-Net over F16 — Constructive and digital
Digital (30, 60, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 30, 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
(30, 30+30, 28056)-Net in Base 16 — Upper bound on s
There is no (30, 60, 28057)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 1 767440 629011 313811 440372 956573 798399 673611 398216 068272 586871 782252 210576 > 1660 [i]