Best Known (10, 10+50, s)-Nets in Base 32
(10, 10+50, 104)-Net over F32 — Constructive and digital
Digital (10, 60, 104)-net over F32, using
- t-expansion [i] based on digital (9, 60, 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
(10, 10+50, 113)-Net over F32 — Digital
Digital (10, 60, 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
(10, 10+50, 1331)-Net in Base 32 — Upper bound on s
There is no (10, 60, 1332)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2 040213 213579 460850 655101 339818 256703 393896 967010 896347 715066 504690 278816 501740 410727 177180 > 3260 [i]