Best Known (18−13, 18, s)-Nets in Base 49
(18−13, 18, 55)-Net over F49 — Constructive and digital
Digital (5, 18, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(18−13, 18, 92)-Net over F49 — Digital
Digital (5, 18, 92)-net over F49, using
- t-expansion [i] based on digital (3, 18, 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
(18−13, 18, 3833)-Net in Base 49 — Upper bound on s
There is no (5, 18, 3834)-net in base 49, because
- 1 times m-reduction [i] would yield (5, 17, 3834)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 54176 472927 204572 908172 427841 > 4917 [i]