Best Known (22, 22+56, s)-Nets in Base 32
(22, 22+56, 120)-Net over F32 — Constructive and digital
Digital (22, 78, 120)-net over F32, using
- t-expansion [i] based on digital (11, 78, 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
(22, 22+56, 177)-Net in Base 32 — Constructive
(22, 78, 177)-net in base 32, using
- 12 times m-reduction [i] based on (22, 90, 177)-net in base 32, using
- base change [i] based on digital (7, 75, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- base change [i] based on digital (7, 75, 177)-net over F64, using
(22, 22+56, 185)-Net over F32 — Digital
Digital (22, 78, 185)-net over F32, using
- t-expansion [i] based on digital (21, 78, 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
- net from sequence [i] based on digital (21, 184)-sequence over F32, using
(22, 22+56, 209)-Net in Base 32
(22, 78, 209)-net in base 32, using
- base change [i] based on digital (9, 65, 209)-net over F64, using
- net from sequence [i] based on digital (9, 208)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 9 and N(F) ≥ 209, using
- net from sequence [i] based on digital (9, 208)-sequence over F64, using
(22, 22+56, 5668)-Net in Base 32 — Upper bound on s
There is no (22, 78, 5669)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 2529 337228 509733 869732 520335 668214 615915 362258 095063 902889 037622 812586 644049 937947 055137 727755 273817 093762 770452 657844 > 3278 [i]