Best Known (16, 32, s)-Nets in Base 4
(16, 32, 34)-Net over F4 — Constructive and digital
Digital (16, 32, 34)-net over F4, using
- trace code for nets [i] based on digital (0, 16, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
(16, 32, 37)-Net over F4 — Digital
Digital (16, 32, 37)-net over F4, using
(16, 32, 315)-Net in Base 4 — Upper bound on s
There is no (16, 32, 316)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 18 862273 744922 374567 > 432 [i]