Best Known (108−83, 108, s)-Nets in Base 25
(108−83, 108, 200)-Net over F25 — Constructive and digital
Digital (25, 108, 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
(108−83, 108, 2970)-Net in Base 25 — Upper bound on s
There is no (25, 108, 2971)-net in base 25, because
- 1 times m-reduction [i] would yield (25, 107, 2971)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 382527 356147 240103 906915 966319 091393 178255 077506 421845 707431 223684 042110 081294 884672 745299 921622 907795 845631 091582 925840 688142 739278 479775 432041 336265 > 25107 [i]