Best Known (7, 7+33, s)-Nets in Base 25
(7, 7+33, 66)-Net over F25 — Constructive and digital
Digital (7, 40, 66)-net over F25, using
- t-expansion [i] based on digital (4, 40, 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
(7, 7+33, 715)-Net in Base 25 — Upper bound on s
There is no (7, 40, 716)-net in base 25, because
- 1 times m-reduction [i] would yield (7, 39, 716)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 3 311062 894717 457938 415422 604305 227431 471147 690308 007425 > 2539 [i]