Best Known (225−64, 225, s)-Nets in Base 2
(225−64, 225, 144)-Net over F2 — Constructive and digital
Digital (161, 225, 144)-net over F2, using
- trace code for nets [i] based on digital (11, 75, 48)-net over F8, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 11 and N(F) ≥ 48, using
- net from sequence [i] based on digital (11, 47)-sequence over F8, using
(225−64, 225, 224)-Net over F2 — Digital
Digital (161, 225, 224)-net over F2, using
(225−64, 225, 1626)-Net in Base 2 — Upper bound on s
There is no (161, 225, 1627)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 54 841338 530563 219862 221763 401319 503879 026271 207057 449125 343996 692522 > 2225 [i]