Best Known (7, 7+21, s)-Nets in Base 8
(7, 7+21, 34)-Net over F8 — Constructive and digital
Digital (7, 28, 34)-net over F8, using
- net from sequence [i] based on digital (7, 33)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using
(7, 7+21, 171)-Net in Base 8 — Upper bound on s
There is no (7, 28, 172)-net in base 8, because
- 1 times m-reduction [i] would yield (7, 27, 172)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 2 466713 181932 226771 098031 > 827 [i]