Best Known (60, 60+52, s)-Nets in Base 5
(60, 60+52, 132)-Net over F5 — Constructive and digital
Digital (60, 112, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 56, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(60, 60+52, 147)-Net over F5 — Digital
Digital (60, 112, 147)-net over F5, using
(60, 60+52, 2686)-Net in Base 5 — Upper bound on s
There is no (60, 112, 2687)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1 942066 268482 481326 285155 485849 388311 707759 795744 955953 177485 274764 240738 508697 > 5112 [i]