Best Known (31−24, 31, s)-Nets in Base 25
(31−24, 31, 66)-Net over F25 — Constructive and digital
Digital (7, 31, 66)-net over F25, using
- t-expansion [i] based on digital (4, 31, 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
(31−24, 31, 894)-Net in Base 25 — Upper bound on s
There is no (7, 31, 895)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 21 819201 847052 837551 925856 984635 242542 796513 > 2531 [i]