Best Known (86−26, 86, s)-Nets in Base 3
(86−26, 86, 148)-Net over F3 — Constructive and digital
Digital (60, 86, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 43, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
(86−26, 86, 222)-Net over F3 — Digital
Digital (60, 86, 222)-net over F3, using
(86−26, 86, 4049)-Net in Base 3 — Upper bound on s
There is no (60, 86, 4050)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 107994 370685 705976 671936 411482 035202 897261 > 386 [i]