Best Known (22, 82, s)-Nets in Base 81
(22, 82, 370)-Net over F81 — Constructive and digital
Digital (22, 82, 370)-net over F81, using
- t-expansion [i] based on digital (16, 82, 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
(22, 82, 24772)-Net in Base 81 — Upper bound on s
There is no (22, 82, 24773)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 3 134855 642291 335808 834368 503714 632207 299100 729619 168269 244155 568700 301430 669060 981851 024078 185189 176694 269448 169226 402164 003669 910975 049830 328896 451071 839201 > 8182 [i]