Best Known (112, 112+32, s)-Nets in Base 3
(112, 112+32, 600)-Net over F3 — Constructive and digital
Digital (112, 144, 600)-net over F3, using
- trace code for nets [i] based on digital (4, 36, 150)-net over F81, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
(112, 112+32, 1037)-Net over F3 — Digital
Digital (112, 144, 1037)-net over F3, using
(112, 112+32, 66911)-Net in Base 3 — Upper bound on s
There is no (112, 144, 66912)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 507 614272 426641 082483 441274 769901 336612 951182 436267 752643 802474 645505 > 3144 [i]