Best Known (6, 35, s)-Nets in Base 25
(6, 35, 66)-Net over F25 — Constructive and digital
Digital (6, 35, 66)-net over F25, using
- t-expansion [i] based on digital (4, 35, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(6, 35, 618)-Net in Base 25 — Upper bound on s
There is no (6, 35, 619)-net in base 25, because
- 1 times m-reduction [i] would yield (6, 34, 619)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 342935 266221 048044 457022 421387 395673 613069 529585 > 2534 [i]