Best Known (41, 41+50, s)-Nets in Base 8
(41, 41+50, 98)-Net over F8 — Constructive and digital
Digital (41, 91, 98)-net over F8, using
- t-expansion [i] based on digital (37, 91, 98)-net over F8, using
- net from sequence [i] based on digital (37, 97)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- net from sequence [i] based on digital (37, 97)-sequence over F8, using
(41, 41+50, 129)-Net over F8 — Digital
Digital (41, 91, 129)-net over F8, using
- t-expansion [i] based on digital (38, 91, 129)-net over F8, using
- net from sequence [i] based on digital (38, 128)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 38 and N(F) ≥ 129, using
- net from sequence [i] based on digital (38, 128)-sequence over F8, using
(41, 41+50, 2801)-Net in Base 8 — Upper bound on s
There is no (41, 91, 2802)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 15260 767478 201524 295907 797755 416150 376417 915633 747169 542434 866115 675832 185048 679852 > 891 [i]