Best Known (37, 37+56, s)-Nets in Base 25
(37, 37+56, 208)-Net over F25 — Constructive and digital
Digital (37, 93, 208)-net over F25, using
- t-expansion [i] based on digital (35, 93, 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
(37, 37+56, 20684)-Net in Base 25 — Upper bound on s
There is no (37, 93, 20685)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 10203 435145 115085 083205 698910 878284 745994 360099 689640 385750 436439 748719 050266 754721 618218 224244 354141 651847 980812 622518 241828 156833 > 2593 [i]