Best Known (68, 128, s)-Nets in Base 3
(68, 128, 60)-Net over F3 — Constructive and digital
Digital (68, 128, 60)-net over F3, using
- trace code for nets [i] based on digital (4, 64, 30)-net over F9, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, using
- net from sequence [i] based on digital (4, 29)-sequence over F9, using
(68, 128, 82)-Net over F3 — Digital
Digital (68, 128, 82)-net over F3, using
(68, 128, 624)-Net in Base 3 — Upper bound on s
There is no (68, 128, 625)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 11 850187 054561 523332 559534 792285 376235 477426 484930 070168 971801 > 3128 [i]