Best Known (64−54, 64, s)-Nets in Base 32
(64−54, 64, 104)-Net over F32 — Constructive and digital
Digital (10, 64, 104)-net over F32, using
- t-expansion [i] based on digital (9, 64, 104)-net over F32, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
(64−54, 64, 113)-Net over F32 — Digital
Digital (10, 64, 113)-net over F32, using
- net from sequence [i] based on digital (10, 112)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 10 and N(F) ≥ 113, using
(64−54, 64, 1288)-Net in Base 32 — Upper bound on s
There is no (10, 64, 1289)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2 146995 721119 835873 204777 207373 021619 569003 266855 199072 083215 741792 289108 306722 558222 184103 103232 > 3264 [i]