Best Known (5, 5+17, s)-Nets in Base 49
(5, 5+17, 55)-Net over F49 — Constructive and digital
Digital (5, 22, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(5, 5+17, 92)-Net over F49 — Digital
Digital (5, 22, 92)-net over F49, using
- t-expansion [i] based on digital (3, 22, 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
(5, 5+17, 2140)-Net in Base 49 — Upper bound on s
There is no (5, 22, 2141)-net in base 49, because
- 1 times m-reduction [i] would yield (5, 21, 2141)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 312813 406817 137545 773504 356085 448577 > 4921 [i]