Best Known (141−42, 141, s)-Nets in Base 3
(141−42, 141, 204)-Net over F3 — Constructive and digital
Digital (99, 141, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 47, 68)-net over F27, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
(141−42, 141, 338)-Net over F3 — Digital
Digital (99, 141, 338)-net over F3, using
(141−42, 141, 6913)-Net in Base 3 — Upper bound on s
There is no (99, 141, 6914)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 18 817889 134856 549217 992111 354464 716948 112351 678190 728785 800019 375741 > 3141 [i]