Best Known (17, 17+42, s)-Nets in Base 81
(17, 17+42, 370)-Net over F81 — Constructive and digital
Digital (17, 59, 370)-net over F81, using
- t-expansion [i] based on digital (16, 59, 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
(17, 17+42, 24955)-Net in Base 81 — Upper bound on s
There is no (17, 59, 24956)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 39899 705451 766951 809078 594183 853173 827998 436356 843133 097818 861611 961538 913636 721355 657318 441994 221749 525431 110081 > 8159 [i]