Best Known (25, 25+49, s)-Nets in Base 25
(25, 25+49, 200)-Net over F25 — Constructive and digital
Digital (25, 74, 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+49, 7285)-Net in Base 25 — Upper bound on s
There is no (25, 74, 7286)-net in base 25, because
- 1 times m-reduction [i] would yield (25, 73, 7286)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 1 121924 929055 140414 293868 280379 681249 614292 801447 320364 782007 461434 700742 489161 467454 887846 410761 745025 > 2573 [i]