Best Known (25, 25+45, s)-Nets in Base 25
(25, 25+45, 200)-Net over F25 — Constructive and digital
Digital (25, 70, 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+45, 9131)-Net in Base 25 — Upper bound on s
There is no (25, 70, 9132)-net in base 25, because
- 1 times m-reduction [i] would yield (25, 69, 9132)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 2 872529 675128 232120 304874 995749 110618 928777 903677 669691 912817 702499 676878 822694 760602 264956 578625 > 2569 [i]