Best Known (35, 35+37, s)-Nets in Base 25
(35, 35+37, 208)-Net over F25 — Constructive and digital
Digital (35, 72, 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+37, 382)-Net over F25 — Digital
Digital (35, 72, 382)-net over F25, using
(35, 35+37, 102796)-Net in Base 25 — Upper bound on s
There is no (35, 72, 102797)-net in base 25, because
- 1 times m-reduction [i] would yield (35, 71, 102797)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 1793 959518 347822 293718 521588 345191 128419 350191 619346 244075 880509 301669 356390 857549 418278 050030 742705 > 2571 [i]