Best Known (24, 24+30, s)-Nets in Base 81
(24, 24+30, 370)-Net over F81 — Constructive and digital
Digital (24, 54, 370)-net over F81, using
- t-expansion [i] based on digital (16, 54, 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
(24, 24+30, 537)-Net over F81 — Digital
Digital (24, 54, 537)-net over F81, using
(24, 24+30, 595960)-Net in Base 81 — Upper bound on s
There is no (24, 54, 595961)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 11 433951 940235 816650 520691 111631 080031 453899 807072 506346 429084 633414 245037 544534 721878 840852 916377 265201 > 8154 [i]