Best Known (37, 101, s)-Nets in Base 5
(37, 101, 72)-Net over F5 — Constructive and digital
Digital (37, 101, 72)-net over F5, using
- t-expansion [i] based on digital (31, 101, 72)-net over F5, using
- net from sequence [i] based on digital (31, 71)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- net from sequence [i] based on digital (31, 71)-sequence over F5, using
(37, 101, 76)-Net over F5 — Digital
Digital (37, 101, 76)-net over F5, using
- t-expansion [i] based on digital (34, 101, 76)-net over F5, using
- net from sequence [i] based on digital (34, 75)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 34 and N(F) ≥ 76, using
- net from sequence [i] based on digital (34, 75)-sequence over F5, using
(37, 101, 490)-Net in Base 5 — Upper bound on s
There is no (37, 101, 491)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 39803 518578 039603 170898 286508 462780 024565 673211 830085 039640 408122 862465 > 5101 [i]