Best Known (42, 42+32, s)-Nets in Base 25
(42, 42+32, 288)-Net over F25 — Constructive and digital
Digital (42, 74, 288)-net over F25, using
- t-expansion [i] based on digital (41, 74, 288)-net over F25, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
(42, 42+32, 1140)-Net over F25 — Digital
Digital (42, 74, 1140)-net over F25, using
(42, 42+32, 827552)-Net in Base 25 — Upper bound on s
There is no (42, 74, 827553)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 28 026052 065424 867547 108274 896368 921501 870729 969641 243266 327956 929241 172452 039638 183855 027918 968805 588865 > 2574 [i]