Best Known (5, 20, s)-Nets in Base 8
(5, 20, 28)-Net over F8 — Constructive and digital
Digital (5, 20, 28)-net over F8, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
(5, 20, 29)-Net over F8 — Digital
Digital (5, 20, 29)-net over F8, using
- net from sequence [i] based on digital (5, 28)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 29, using
(5, 20, 132)-Net in Base 8 — Upper bound on s
There is no (5, 20, 133)-net in base 8, because
- 1 times m-reduction [i] would yield (5, 19, 133)-net in base 8, but
- the generalized Rao bound for nets shows that 8m ≥ 147716 351574 627200 > 819 [i]