Best Known (38, 99, s)-Nets in Base 25
(38, 99, 208)-Net over F25 — Constructive and digital
Digital (38, 99, 208)-net over F25, using
- t-expansion [i] based on digital (35, 99, 208)-net over F25, using
- net from sequence [i] based on digital (35, 207)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 35 and N(F) ≥ 208, using
- net from sequence [i] based on digital (35, 207)-sequence over F25, using
(38, 99, 18484)-Net in Base 25 — Upper bound on s
There is no (38, 99, 18485)-net in base 25, because
- 1 times m-reduction [i] would yield (38, 98, 18485)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 99621 957179 514782 887240 755121 798353 185353 703034 264145 878870 452093 122675 985570 856350 365943 367710 984791 379299 192190 358012 027495 799614 880849 > 2598 [i]