Best Known (95−76, 95, s)-Nets in Base 8
(95−76, 95, 65)-Net over F8 — Constructive and digital
Digital (19, 95, 65)-net over F8, using
- t-expansion [i] based on digital (14, 95, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(95−76, 95, 365)-Net in Base 8 — Upper bound on s
There is no (19, 95, 366)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 68 248014 033953 186828 716236 974983 609670 957447 379804 939996 460783 755639 993744 260567 614764 > 895 [i]