Best Known (16, 42, s)-Nets in Base 7
(16, 42, 24)-Net over F7 — Constructive and digital
Digital (16, 42, 24)-net over F7, using
- net from sequence [i] based on digital (16, 23)-sequence over F7, using
(16, 42, 48)-Net over F7 — Digital
Digital (16, 42, 48)-net over F7, using
- t-expansion [i] based on digital (13, 42, 48)-net over F7, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 13 and N(F) ≥ 48, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
(16, 42, 499)-Net in Base 7 — Upper bound on s
There is no (16, 42, 500)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 315707 319882 084739 028368 261437 111001 > 742 [i]