Best Known (23−19, 23, s)-Nets in Base 27
(23−19, 23, 64)-Net over F27 — Constructive and digital
Digital (4, 23, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
(23−19, 23, 498)-Net in Base 27 — Upper bound on s
There is no (4, 23, 499)-net in base 27, because
- 1 times m-reduction [i] would yield (4, 22, 499)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 31 025900 067709 290697 712216 215967 > 2722 [i]