Best Known (38, 38+48, s)-Nets in Base 3
(38, 38+48, 38)-Net over F3 — Constructive and digital
Digital (38, 86, 38)-net over F3, using
- t-expansion [i] based on digital (32, 86, 38)-net over F3, using
- net from sequence [i] based on digital (32, 37)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 32 and N(F) ≥ 38, using
- net from sequence [i] based on digital (32, 37)-sequence over F3, using
(38, 38+48, 52)-Net over F3 — Digital
Digital (38, 86, 52)-net over F3, using
- t-expansion [i] based on digital (37, 86, 52)-net over F3, using
- net from sequence [i] based on digital (37, 51)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 37 and N(F) ≥ 52, using
- net from sequence [i] based on digital (37, 51)-sequence over F3, using
(38, 38+48, 228)-Net in Base 3 — Upper bound on s
There is no (38, 86, 229)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 112242 141660 099413 910545 949353 116729 140513 > 386 [i]