Best Known (142, 142+44, s)-Nets in Base 3
(142, 142+44, 464)-Net over F3 — Constructive and digital
Digital (142, 186, 464)-net over F3, using
- 32 times duplication [i] based on digital (140, 184, 464)-net over F3, using
- trace code for nets [i] based on digital (2, 46, 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, 46, 116)-net over F81, using
(142, 142+44, 999)-Net over F3 — Digital
Digital (142, 186, 999)-net over F3, using
(142, 142+44, 48918)-Net in Base 3 — Upper bound on s
There is no (142, 186, 48919)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 55538 914213 391726 059678 478512 502838 786861 160707 706196 399171 863053 445964 014557 650245 930821 > 3186 [i]