Best Known (76−51, 76, s)-Nets in Base 25
(76−51, 76, 200)-Net over F25 — Constructive and digital
Digital (25, 76, 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
(76−51, 76, 6612)-Net in Base 25 — Upper bound on s
There is no (25, 76, 6613)-net in base 25, because
- 1 times m-reduction [i] would yield (25, 75, 6613)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 701 422643 418497 585916 978039 921665 893512 111114 003091 798528 455612 258461 321774 684803 878778 323984 131844 634681 > 2575 [i]