Best Known (38, 68, s)-Nets in Base 5
(38, 68, 132)-Net over F5 — Constructive and digital
Digital (38, 68, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 34, 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
(38, 68, 2357)-Net in Base 5 — Upper bound on s
There is no (38, 68, 2358)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 340517 816727 601822 684679 363415 435152 597219 645945 > 568 [i]