Best Known (146, 146+62, s)-Nets in Base 3
(146, 146+62, 246)-Net over F3 — Constructive and digital
Digital (146, 208, 246)-net over F3, using
- 31 times duplication [i] based on digital (145, 207, 246)-net over F3, using
- trace code for nets [i] based on digital (7, 69, 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, 69, 82)-net over F27, using
(146, 146+62, 468)-Net over F3 — Digital
Digital (146, 208, 468)-net over F3, using
(146, 146+62, 9839)-Net in Base 3 — Upper bound on s
There is no (146, 208, 9840)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1743 284258 489007 847475 069926 498909 949504 012925 239153 178645 708833 885191 886419 552753 033216 646944 423233 > 3208 [i]