Best Known (64, 144, s)-Nets in Base 3
(64, 144, 48)-Net over F3 — Constructive and digital
Digital (64, 144, 48)-net over F3, using
- t-expansion [i] based on digital (45, 144, 48)-net over F3, using
- net from sequence [i] based on digital (45, 47)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
- net from sequence [i] based on digital (45, 47)-sequence over F3, using
(64, 144, 64)-Net over F3 — Digital
Digital (64, 144, 64)-net over F3, using
- t-expansion [i] based on digital (49, 144, 64)-net over F3, using
- net from sequence [i] based on digital (49, 63)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 49 and N(F) ≥ 64, using
- net from sequence [i] based on digital (49, 63)-sequence over F3, using
(64, 144, 373)-Net in Base 3 — Upper bound on s
There is no (64, 144, 374)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 531 337908 486341 879291 271161 291057 264286 402024 819874 312131 339347 165201 > 3144 [i]