Best Known (39, 39+56, s)-Nets in Base 25
(39, 39+56, 208)-Net over F25 — Constructive and digital
Digital (39, 95, 208)-net over F25, using
- t-expansion [i] based on digital (35, 95, 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
(39, 39+56, 218)-Net over F25 — Digital
Digital (39, 95, 218)-net over F25, using
(39, 39+56, 26035)-Net in Base 25 — Upper bound on s
There is no (39, 95, 26036)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 6 378236 810768 763560 028265 790802 866936 560364 159732 798334 495481 976162 838484 357656 548597 230037 492280 278761 522638 306161 204722 892416 834945 > 2595 [i]