Best Known (49−27, 49, s)-Nets in Base 5
(49−27, 49, 51)-Net over F5 — Constructive and digital
Digital (22, 49, 51)-net over F5, using
- net from sequence [i] based on digital (22, 50)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51, using
(49−27, 49, 530)-Net in Base 5 — Upper bound on s
There is no (22, 49, 531)-net in base 5, because
- 1 times m-reduction [i] would yield (22, 48, 531)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 3594 424638 452908 728870 732849 450525 > 548 [i]