Best Known (9, 9+40, s)-Nets in Base 49
(9, 9+40, 59)-Net over F49 — Constructive and digital
Digital (9, 49, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(9, 9+40, 92)-Net over F49 — Digital
Digital (9, 49, 92)-net over F49, using
- t-expansion [i] based on digital (3, 49, 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
(9, 9+40, 2383)-Net in Base 49 — Upper bound on s
There is no (9, 49, 2384)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 66198 689395 143982 678485 066890 506494 278010 214126 050894 794258 988584 600586 990855 134209 > 4949 [i]