Best Known (22, 22+24, s)-Nets in Base 8
(22, 22+24, 65)-Net over F8 — Constructive and digital
Digital (22, 46, 65)-net over F8, using
- t-expansion [i] based on digital (14, 46, 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
(22, 22+24, 82)-Net over F8 — Digital
Digital (22, 46, 82)-net over F8, using
(22, 22+24, 2181)-Net in Base 8 — Upper bound on s
There is no (22, 46, 2182)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 350171 360984 304480 836752 250201 527715 176656 > 846 [i]