Best Known (132−64, 132, s)-Nets in Base 5
(132−64, 132, 92)-Net over F5 — Constructive and digital
Digital (68, 132, 92)-net over F5, using
- (u, u+v)-construction [i] based on
- digital (5, 37, 20)-net over F5, using
- net from sequence [i] based on digital (5, 19)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 5 and N(F) ≥ 20, using
- net from sequence [i] based on digital (5, 19)-sequence over F5, using
- digital (31, 95, 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
- digital (5, 37, 20)-net over F5, using
(132−64, 132, 145)-Net over F5 — Digital
Digital (68, 132, 145)-net over F5, using
(132−64, 132, 2420)-Net in Base 5 — Upper bound on s
There is no (68, 132, 2421)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 185 085271 240043 967954 388126 149768 920007 009453 087392 618302 427874 431097 812962 231697 293149 903745 > 5132 [i]