Best Known (112, 112+44, s)-Nets in Base 3
(112, 112+44, 252)-Net over F3 — Constructive and digital
Digital (112, 156, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 52, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
(112, 112+44, 442)-Net over F3 — Digital
Digital (112, 156, 442)-net over F3, using
(112, 112+44, 10919)-Net in Base 3 — Upper bound on s
There is no (112, 156, 10920)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 270 127574 503872 671839 656154 422569 657321 260214 227760 923107 581846 025376 266993 > 3156 [i]