Best Known (25, 25+79, s)-Nets in Base 25
(25, 25+79, 200)-Net over F25 — Constructive and digital
Digital (25, 104, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
(25, 25+79, 3135)-Net in Base 25 — Upper bound on s
There is no (25, 104, 3136)-net in base 25, because
- 1 times m-reduction [i] would yield (25, 103, 3136)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 973168 250318 502046 021597 470495 018289 933602 913586 254600 714241 009625 762011 364123 230975 024954 435995 239944 936927 077296 395844 595187 883592 333017 690625 > 25103 [i]