Best Known (62, 116, s)-Nets in Base 4
(62, 116, 90)-Net over F4 — Constructive and digital
Digital (62, 116, 90)-net over F4, using
- trace code for nets [i] based on digital (4, 58, 45)-net over F16, using
- net from sequence [i] based on digital (4, 44)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- net from sequence [i] based on digital (4, 44)-sequence over F16, using
(62, 116, 114)-Net over F4 — Digital
Digital (62, 116, 114)-net over F4, using
(62, 116, 1383)-Net in Base 4 — Upper bound on s
There is no (62, 116, 1384)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 6915 097894 572672 356985 998460 990365 535184 300272 160355 351277 564960 316540 > 4116 [i]