Best Known (16, 16+35, s)-Nets in Base 81
(16, 16+35, 370)-Net over F81 — Constructive and digital
Digital (16, 51, 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
(16, 16+35, 36808)-Net in Base 81 — Upper bound on s
There is no (16, 51, 36809)-net in base 81, because
- 1 times m-reduction [i] would yield (16, 50, 36809)-net in base 81, but
- the generalized Rao bound for nets shows that 81m ≥ 265660 239466 711728 996848 753877 022966 766821 845926 633779 412161 245829 941990 463698 648854 651440 268241 > 8150 [i]