Best Known (120−64, 120, s)-Nets in Base 3
(120−64, 120, 48)-Net over F3 — Constructive and digital
Digital (56, 120, 48)-net over F3, using
- t-expansion [i] based on digital (45, 120, 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
(120−64, 120, 64)-Net over F3 — Digital
Digital (56, 120, 64)-net over F3, using
- t-expansion [i] based on digital (49, 120, 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
(120−64, 120, 363)-Net in Base 3 — Upper bound on s
There is no (56, 120, 364)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 1932 230678 829746 515509 248684 228937 406089 402348 667930 642689 > 3120 [i]