Best Known (142, 196, s)-Nets in Base 3
(142, 196, 288)-Net over F3 — Constructive and digital
Digital (142, 196, 288)-net over F3, using
- 31 times duplication [i] based on digital (141, 195, 288)-net over F3, using
- trace code for nets [i] based on digital (11, 65, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- trace code for nets [i] based on digital (11, 65, 96)-net over F27, using
(142, 196, 580)-Net over F3 — Digital
Digital (142, 196, 580)-net over F3, using
(142, 196, 15856)-Net in Base 3 — Upper bound on s
There is no (142, 196, 15857)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3283 681741 069596 606940 271563 207658 589534 093542 347887 832556 374606 516479 705311 028160 336622 462971 > 3196 [i]