Best Known (25, 25+26, s)-Nets in Base 5
(25, 25+26, 51)-Net over F5 — Constructive and digital
Digital (25, 51, 51)-net over F5, using
- t-expansion [i] based on digital (22, 51, 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
- net from sequence [i] based on digital (22, 50)-sequence over F5, using
(25, 25+26, 59)-Net over F5 — Digital
Digital (25, 51, 59)-net over F5, using
(25, 25+26, 773)-Net in Base 5 — Upper bound on s
There is no (25, 51, 774)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 449694 537835 885509 750568 005802 127769 > 551 [i]