Best Known (91−46, 91, s)-Nets in Base 8
(91−46, 91, 100)-Net over F8 — Constructive and digital
Digital (45, 91, 100)-net over F8, using
- (u, u+v)-construction [i] based on
- digital (8, 31, 35)-net over F8, using
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F8 with g(F) = 7, N(F) = 34, and 1 place with degree 2 [i] based on function field F/F8 with g(F) = 7 and N(F) ≥ 34, using a function field by Sémirat [i]
- net from sequence [i] based on digital (8, 34)-sequence over F8, using
- digital (14, 60, 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
- digital (8, 31, 35)-net over F8, using
(91−46, 91, 155)-Net over F8 — Digital
Digital (45, 91, 155)-net over F8, using
(91−46, 91, 5025)-Net in Base 8 — Upper bound on s
There is no (45, 91, 5026)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 15177 638638 864297 397180 092237 494949 063478 292464 508129 586594 378832 601904 710792 705072 > 891 [i]