Best Known (74, 114, s)-Nets in Base 3
(74, 114, 148)-Net over F3 — Constructive and digital
Digital (74, 114, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 57, 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
(74, 114, 172)-Net over F3 — Digital
Digital (74, 114, 172)-net over F3, using
(74, 114, 2157)-Net in Base 3 — Upper bound on s
There is no (74, 114, 2158)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2 473708 284835 623304 511368 079419 821369 664448 197238 390697 > 3114 [i]