Best Known (47−38, 47, s)-Nets in Base 49
(47−38, 47, 59)-Net over F49 — Constructive and digital
Digital (9, 47, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(47−38, 47, 92)-Net over F49 — Digital
Digital (9, 47, 92)-net over F49, using
- t-expansion [i] based on digital (3, 47, 92)-net over F49, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 3 and N(F) ≥ 92, using
- net from sequence [i] based on digital (3, 91)-sequence over F49, using
(47−38, 47, 2496)-Net in Base 49 — Upper bound on s
There is no (9, 47, 2497)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 27 568171 272884 568742 466326 169533 902760 971313 657957 134256 712583 658890 690032 423569 > 4947 [i]