Best Known (22, 40, s)-Nets in Base 4
(22, 40, 66)-Net over F4 — Constructive and digital
Digital (22, 40, 66)-net over F4, using
- trace code for nets [i] based on digital (2, 20, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
(22, 40, 648)-Net in Base 4 — Upper bound on s
There is no (22, 40, 649)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 1 219798 390715 092548 480484 > 440 [i]