Best Known (106−90, 106, s)-Nets in Base 32
(106−90, 106, 120)-Net over F32 — Constructive and digital
Digital (16, 106, 120)-net over F32, using
- t-expansion [i] based on digital (11, 106, 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
(106−90, 106, 158)-Net over F32 — Digital
Digital (16, 106, 158)-net over F32, using
- t-expansion [i] based on digital (15, 106, 158)-net over F32, using
- net from sequence [i] based on digital (15, 157)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 15 and N(F) ≥ 158, using
- net from sequence [i] based on digital (15, 157)-sequence over F32, using
(106−90, 106, 1973)-Net in Base 32 — Upper bound on s
There is no (16, 106, 1974)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3583 628922 786075 017933 629558 302215 220643 202468 302193 630035 464894 281427 122035 913976 965115 920221 216796 427308 099824 321927 089218 047716 614982 079574 481563 935052 583810 > 32106 [i]