Best Known (7, 25, s)-Nets in Base 81
(7, 25, 172)-Net over F81 — Constructive and digital
Digital (7, 25, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
(7, 25, 190)-Net over F81 — Digital
Digital (7, 25, 190)-net over F81, using
- t-expansion [i] based on digital (6, 25, 190)-net over F81, using
- net from sequence [i] based on digital (6, 189)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 6 and N(F) ≥ 190, using
- net from sequence [i] based on digital (6, 189)-sequence over F81, using
(7, 25, 10371)-Net in Base 81 — Upper bound on s
There is no (7, 25, 10372)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 515654 436753 620765 757125 692114 184157 508557 151041 > 8125 [i]