Best Known (64−50, 64, s)-Nets in Base 32
(64−50, 64, 120)-Net over F32 — Constructive and digital
Digital (14, 64, 120)-net over F32, using
- t-expansion [i] based on digital (11, 64, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
(64−50, 64, 146)-Net over F32 — Digital
Digital (14, 64, 146)-net over F32, using
- net from sequence [i] based on digital (14, 145)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 14 and N(F) ≥ 146, using
(64−50, 64, 2328)-Net in Base 32 — Upper bound on s
There is no (14, 64, 2329)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2 148327 243722 314179 895144 319828 882837 927113 082992 309319 904583 114321 974990 823295 701335 234285 370400 > 3264 [i]