Best Known (105−84, 105, s)-Nets in Base 32
(105−84, 105, 120)-Net over F32 — Constructive and digital
Digital (21, 105, 120)-net over F32, using
- t-expansion [i] based on digital (11, 105, 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
(105−84, 105, 185)-Net over F32 — Digital
Digital (21, 105, 185)-net over F32, using
- net from sequence [i] based on digital (21, 184)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 21 and N(F) ≥ 185, using
(105−84, 105, 3063)-Net in Base 32 — Upper bound on s
There is no (21, 105, 3064)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 110 430295 985558 556189 410655 865519 301367 624604 647391 015703 241865 575907 879162 225198 524092 673719 858346 743230 086824 027915 964381 270760 979608 509048 342294 456888 219258 > 32105 [i]