Best Known (142, 142+60, s)-Nets in Base 3
(142, 142+60, 246)-Net over F3 — Constructive and digital
Digital (142, 202, 246)-net over F3, using
- 31 times duplication [i] based on digital (141, 201, 246)-net over F3, using
- trace code for nets [i] based on digital (7, 67, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- trace code for nets [i] based on digital (7, 67, 82)-net over F27, using
(142, 142+60, 461)-Net over F3 — Digital
Digital (142, 202, 461)-net over F3, using
(142, 142+60, 9796)-Net in Base 3 — Upper bound on s
There is no (142, 202, 9797)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2 394178 671821 297403 402310 814535 896881 050707 137847 319430 011657 114481 918445 138497 967623 628195 555105 > 3202 [i]