Best Known (31−26, 31, s)-Nets in Base 16
(31−26, 31, 49)-Net over F16 — Constructive and digital
Digital (5, 31, 49)-net over F16, using
- net from sequence [i] based on digital (5, 48)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
(31−26, 31, 274)-Net in Base 16 — Upper bound on s
There is no (5, 31, 275)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 22 109977 285774 666629 433057 552301 682376 > 1631 [i]