Best Known (70−46, 70, s)-Nets in Base 81
(70−46, 70, 370)-Net over F81 — Constructive and digital
Digital (24, 70, 370)-net over F81, using
- t-expansion [i] based on digital (16, 70, 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
(70−46, 70, 75811)-Net in Base 81 — Upper bound on s
There is no (24, 70, 75812)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 39 267682 170886 496628 636023 499061 258765 124622 851184 374762 117559 947745 578225 491905 564648 363033 259854 824494 164520 089770 133535 834870 719681 > 8170 [i]