Best Known (58, 58+94, s)-Nets in Base 3
(58, 58+94, 48)-Net over F3 — Constructive and digital
Digital (58, 152, 48)-net over F3, using
- t-expansion [i] based on digital (45, 152, 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
(58, 58+94, 64)-Net over F3 — Digital
Digital (58, 152, 64)-net over F3, using
- t-expansion [i] based on digital (49, 152, 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
(58, 58+94, 276)-Net in Base 3 — Upper bound on s
There is no (58, 152, 277)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3 425599 345341 417224 380579 272995 187996 050082 855069 985895 722289 474803 615035 > 3152 [i]