Best Known (38, 38+24, s)-Nets in Base 3
(38, 38+24, 72)-Net over F3 — Constructive and digital
Digital (38, 62, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 31, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
(38, 38+24, 82)-Net over F3 — Digital
Digital (38, 62, 82)-net over F3, using
(38, 38+24, 760)-Net in Base 3 — Upper bound on s
There is no (38, 62, 761)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 385766 165930 698615 155879 451953 > 362 [i]