Best Known (21−12, 21, s)-Nets in Base 8
(21−12, 21, 45)-Net over F8 — Constructive and digital
Digital (9, 21, 45)-net over F8, using
- net from sequence [i] based on digital (9, 44)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 9 and N(F) ≥ 45, using
(21−12, 21, 616)-Net in Base 8 — Upper bound on s
There is no (9, 21, 617)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 9 312795 259931 984780 > 821 [i]