Best Known (30−21, 30, s)-Nets in Base 49
(30−21, 30, 59)-Net over F49 — Constructive and digital
Digital (9, 30, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(30−21, 30, 92)-Net over F49 — Digital
Digital (9, 30, 92)-net over F49, using
- t-expansion [i] based on digital (3, 30, 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
(30−21, 30, 7516)-Net in Base 49 — Upper bound on s
There is no (9, 30, 7517)-net in base 49, because
- 1 times m-reduction [i] would yield (9, 29, 7517)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 10 370837 755060 349576 735592 045943 766771 034315 103585 > 4929 [i]