Best Known (108−32, 108, s)-Nets in Base 3
(108−32, 108, 192)-Net over F3 — Constructive and digital
Digital (76, 108, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 36, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
(108−32, 108, 280)-Net over F3 — Digital
Digital (76, 108, 280)-net over F3, using
(108−32, 108, 5634)-Net in Base 3 — Upper bound on s
There is no (76, 108, 5635)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3382 427819 150786 333322 634213 225068 663725 942496 408801 > 3108 [i]