Best Known (151, 197, s)-Nets in Base 3
(151, 197, 464)-Net over F3 — Constructive and digital
Digital (151, 197, 464)-net over F3, using
- 31 times duplication [i] based on digital (150, 196, 464)-net over F3, using
- t-expansion [i] based on digital (149, 196, 464)-net over F3, using
- trace code for nets [i] based on digital (2, 49, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- trace code for nets [i] based on digital (2, 49, 116)-net over F81, using
- t-expansion [i] based on digital (149, 196, 464)-net over F3, using
(151, 197, 1103)-Net over F3 — Digital
Digital (151, 197, 1103)-net over F3, using
(151, 197, 57531)-Net in Base 3 — Upper bound on s
There is no (151, 197, 57532)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 9840 527900 182185 333153 113689 670140 535328 938306 276784 646546 858703 027665 888599 264381 617091 159057 > 3197 [i]