Best Known (151, 219, s)-Nets in Base 3
(151, 219, 204)-Net over F3 — Constructive and digital
Digital (151, 219, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 73, 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
(151, 219, 431)-Net over F3 — Digital
Digital (151, 219, 431)-net over F3, using
(151, 219, 7977)-Net in Base 3 — Upper bound on s
There is no (151, 219, 7978)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 309 754835 636650 478747 410068 972646 612488 157075 536857 342764 903583 722331 307093 793158 986215 367909 492534 620677 > 3219 [i]