Best Known (49, 49+44, s)-Nets in Base 5
(49, 49+44, 82)-Net over F5 — Constructive and digital
Digital (49, 93, 82)-net over F5, using
- t-expansion [i] based on digital (48, 93, 82)-net over F5, using
- net from sequence [i] based on digital (48, 81)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 48 and N(F) ≥ 82, using
- net from sequence [i] based on digital (48, 81)-sequence over F5, using
(49, 49+44, 118)-Net over F5 — Digital
Digital (49, 93, 118)-net over F5, using
(49, 49+44, 2023)-Net in Base 5 — Upper bound on s
There is no (49, 93, 2024)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 101439 187676 146928 051837 828178 153143 967217 348263 612212 081255 990913 > 593 [i]