Best Known (86, 138, s)-Nets in Base 3
(86, 138, 148)-Net over F3 — Constructive and digital
Digital (86, 138, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 69, 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, 138, 162)-Net over F3 — Digital
Digital (86, 138, 162)-net over F3, using
(86, 138, 1772)-Net in Base 3 — Upper bound on s
There is no (86, 138, 1773)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 704515 610763 591857 065708 564571 588151 386586 077990 120253 417469 695681 > 3138 [i]