Best Known (20, 34, s)-Nets in Base 4
(20, 34, 76)-Net over F4 — Constructive and digital
Digital (20, 34, 76)-net over F4, using
- trace code for nets [i] based on digital (3, 17, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
(20, 34, 941)-Net in Base 4 — Upper bound on s
There is no (20, 34, 942)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 297 097966 226380 242700 > 434 [i]