Best Known (35, 35+47, s)-Nets in Base 25
(35, 35+47, 208)-Net over F25 — Constructive and digital
Digital (35, 82, 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
(35, 35+47, 225)-Net over F25 — Digital
Digital (35, 82, 225)-net over F25, using
(35, 35+47, 32905)-Net in Base 25 — Upper bound on s
There is no (35, 82, 32906)-net in base 25, because
- 1 times m-reduction [i] would yield (35, 81, 32906)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 171127 704212 306063 318002 739935 424148 806706 318718 665057 642622 840822 079587 904236 276851 010774 652323 344631 231838 047825 > 2581 [i]