Best Known (6, 6+25, s)-Nets in Base 49
(6, 6+25, 56)-Net over F49 — Constructive and digital
Digital (6, 31, 56)-net over F49, using
- net from sequence [i] based on digital (6, 55)-sequence over F49, using
(6, 6+25, 92)-Net over F49 — Digital
Digital (6, 31, 92)-net over F49, using
- t-expansion [i] based on digital (3, 31, 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
(6, 6+25, 1846)-Net in Base 49 — Upper bound on s
There is no (6, 31, 1847)-net in base 49, because
- 1 times m-reduction [i] would yield (6, 30, 1847)-net in base 49, but
- the generalized Rao bound for nets shows that 49m ≥ 510 914907 347172 540652 501574 352880 575571 829700 133825 > 4930 [i]