Best Known (95−80, 95, s)-Nets in Base 16
(95−80, 95, 65)-Net over F16 — Constructive and digital
Digital (15, 95, 65)-net over F16, using
- t-expansion [i] based on digital (6, 95, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
(95−80, 95, 98)-Net over F16 — Digital
Digital (15, 95, 98)-net over F16, using
- net from sequence [i] based on digital (15, 97)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 15 and N(F) ≥ 98, using
(95−80, 95, 739)-Net in Base 16 — Upper bound on s
There is no (15, 95, 740)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 2 572654 768739 174738 878624 744707 451164 895455 923268 578173 027377 175783 837140 883630 222062 549174 504157 978204 432511 088376 > 1695 [i]