Best Known (23−20, 23, s)-Nets in Base 16
(23−20, 23, 38)-Net over F16 — Constructive and digital
Digital (3, 23, 38)-net over F16, using
- net from sequence [i] based on digital (3, 37)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
(23−20, 23, 172)-Net in Base 16 — Upper bound on s
There is no (3, 23, 173)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 5109 975961 035734 806126 854826 > 1623 [i]