Best Known (64−34, 64, s)-Nets in Base 81
(64−34, 64, 370)-Net over F81 — Constructive and digital
Digital (30, 64, 370)-net over F81, using
- t-expansion [i] based on digital (16, 64, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(64−34, 64, 844)-Net over F81 — Digital
Digital (30, 64, 844)-net over F81, using
(64−34, 64, 1373211)-Net in Base 81 — Upper bound on s
There is no (30, 64, 1373212)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 139 009488 759199 129998 903003 685674 829047 662186 646371 165539 658913 025003 606396 029172 041911 165445 843308 062661 905103 536844 899521 > 8164 [i]