Best Known (5, 5+20, s)-Nets in Base 49
(5, 5+20, 55)-Net over F49 — Constructive and digital
Digital (5, 25, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(5, 5+20, 92)-Net over F49 — Digital
Digital (5, 25, 92)-net over F49, using
- t-expansion [i] based on digital (3, 25, 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+20, 1581)-Net in Base 49 — Upper bound on s
There is no (5, 25, 1582)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 1 809720 906936 972334 923221 885475 837516 235585 > 4925 [i]