Best Known (73−39, 73, s)-Nets in Base 7
(73−39, 73, 35)-Net over F7 — Constructive and digital
Digital (34, 73, 35)-net over F7, using
- t-expansion [i] based on digital (33, 73, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(73−39, 73, 96)-Net over F7 — Digital
Digital (34, 73, 96)-net over F7, using
- t-expansion [i] based on digital (33, 73, 96)-net over F7, using
- net from sequence [i] based on digital (33, 95)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 33 and N(F) ≥ 96, using
- net from sequence [i] based on digital (33, 95)-sequence over F7, using
(73−39, 73, 2094)-Net in Base 7 — Upper bound on s
There is no (34, 73, 2095)-net in base 7, because
- 1 times m-reduction [i] would yield (34, 72, 2095)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 7 078945 204556 254670 015836 018300 236037 856580 670690 318846 018063 > 772 [i]