Best Known (103−83, 103, s)-Nets in Base 25
(103−83, 103, 148)-Net over F25 — Constructive and digital
Digital (20, 103, 148)-net over F25, using
- t-expansion [i] based on digital (19, 103, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(103−83, 103, 171)-Net over F25 — Digital
Digital (20, 103, 171)-net over F25, using
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
(103−83, 103, 1999)-Net in Base 25 — Upper bound on s
There is no (20, 103, 2000)-net in base 25, because
- 1 times m-reduction [i] would yield (20, 102, 2000)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 39648 940832 348167 195799 315879 650489 302696 347938 639926 763242 502481 462926 662161 742081 965272 100705 804504 378175 085543 195564 767976 707266 876628 635521 > 25102 [i]