Best Known (6, 6+30, s)-Nets in Base 49
(6, 6+30, 56)-Net over F49 — Constructive and digital
Digital (6, 36, 56)-net over F49, using
- net from sequence [i] based on digital (6, 55)-sequence over F49, using
(6, 6+30, 92)-Net over F49 — Digital
Digital (6, 36, 92)-net over F49, using
- t-expansion [i] based on digital (3, 36, 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+30, 1516)-Net in Base 49 — Upper bound on s
There is no (6, 36, 1517)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 7 050123 177202 779706 921631 616966 853847 218269 292867 167816 160657 > 4936 [i]