Best Known (30, 30+30, s)-Nets in Base 5
(30, 30+30, 52)-Net over F5 — Constructive and digital
Digital (30, 60, 52)-net over F5, using
- trace code for nets [i] based on digital (0, 30, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
(30, 30+30, 71)-Net over F5 — Digital
Digital (30, 60, 71)-net over F5, using
(30, 30+30, 992)-Net in Base 5 — Upper bound on s
There is no (30, 60, 993)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 867985 498935 495261 860156 509637 455482 790669 > 560 [i]