Best Known (21, 21+50, s)-Nets in Base 32
(21, 21+50, 120)-Net over F32 — Constructive and digital
Digital (21, 71, 120)-net over F32, using
- t-expansion [i] based on digital (11, 71, 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
(21, 21+50, 177)-Net in Base 32 — Constructive
(21, 71, 177)-net in base 32, using
- 13 times m-reduction [i] based on (21, 84, 177)-net in base 32, using
- base change [i] based on digital (7, 70, 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, 70, 177)-net over F64, using
(21, 21+50, 185)-Net over F32 — Digital
Digital (21, 71, 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
(21, 21+50, 209)-Net in Base 32
(21, 71, 209)-net in base 32, using
- 1 times m-reduction [i] based on (21, 72, 209)-net in base 32, using
- base change [i] based on digital (9, 60, 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
- base change [i] based on digital (9, 60, 209)-net over F64, using
(21, 21+50, 6165)-Net in Base 32 — Upper bound on s
There is no (21, 71, 6166)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 73451 593028 071337 321063 389065 157126 360539 556928 837839 642248 023803 087156 309741 264327 540694 401038 016521 180928 > 3271 [i]