Best Known (43−37, 43, s)-Nets in Base 49
(43−37, 43, 56)-Net over F49 — Constructive and digital
Digital (6, 43, 56)-net over F49, using
- net from sequence [i] based on digital (6, 55)-sequence over F49, using
(43−37, 43, 92)-Net over F49 — Digital
Digital (6, 43, 92)-net over F49, using
- t-expansion [i] based on digital (3, 43, 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
(43−37, 43, 1373)-Net in Base 49 — Upper bound on s
There is no (6, 43, 1374)-net in base 49, because
- 1 times m-reduction [i] would yield (6, 42, 1374)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 97729 492915 004427 860713 605138 241936 556579 747840 840345 731119 662253 174337 > 4942 [i]