Best Known (111, 157, s)-Nets in Base 3
(111, 157, 228)-Net over F3 — Constructive and digital
Digital (111, 157, 228)-net over F3, using
- 31 times duplication [i] based on digital (110, 156, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 52, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- trace code for nets [i] based on digital (6, 52, 76)-net over F27, using
(111, 157, 390)-Net over F3 — Digital
Digital (111, 157, 390)-net over F3, using
(111, 157, 8494)-Net in Base 3 — Upper bound on s
There is no (111, 157, 8495)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 809 740070 535277 560700 733365 333158 366566 751774 322809 101010 049207 637810 993043 > 3157 [i]