Best Known (50, 50+50, s)-Nets in Base 16
(50, 50+50, 514)-Net over F16 — Constructive and digital
Digital (50, 100, 514)-net over F16, using
- trace code for nets [i] based on digital (0, 50, 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
(50, 50+50, 44450)-Net in Base 16 — Upper bound on s
There is no (50, 100, 44451)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 2 582328 932168 874354 553136 557739 072771 538041 690929 774678 751395 005223 748612 409354 437939 227652 797003 966203 763576 728474 030376 > 16100 [i]