Best Known (195−64, 195, s)-Nets in Base 4
(195−64, 195, 240)-Net over F4 — Constructive and digital
Digital (131, 195, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 65, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
(195−64, 195, 570)-Net over F4 — Digital
Digital (131, 195, 570)-net over F4, using
(195−64, 195, 19860)-Net in Base 4 — Upper bound on s
There is no (131, 195, 19861)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2523 669014 299893 535892 054045 202858 072017 408309 643593 522473 440938 782875 262311 665291 614675 167685 573504 254144 518131 564060 > 4195 [i]