Best Known (36, 64, s)-Nets in Base 3
(36, 64, 60)-Net over F3 — Constructive and digital
Digital (36, 64, 60)-net over F3, using
- trace code for nets [i] based on digital (4, 32, 30)-net over F9, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
(36, 64, 445)-Net in Base 3 — Upper bound on s
There is no (36, 64, 446)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3 498176 079629 774075 277103 865781 > 364 [i]