Best Known (56−34, 56, s)-Nets in Base 32
(56−34, 56, 120)-Net over F32 — Constructive and digital
Digital (22, 56, 120)-net over F32, using
- t-expansion [i] based on digital (11, 56, 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
(56−34, 56, 185)-Net over F32 — Digital
Digital (22, 56, 185)-net over F32, using
- t-expansion [i] based on digital (21, 56, 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
(56−34, 56, 258)-Net in Base 32 — Constructive
(22, 56, 258)-net in base 32, using
- base change [i] based on digital (1, 35, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(56−34, 56, 289)-Net in Base 32
(22, 56, 289)-net in base 32, using
- base change [i] based on digital (1, 35, 289)-net over F256, using
- net from sequence [i] based on digital (1, 288)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
- net from sequence [i] based on digital (1, 288)-sequence over F256, using
(56−34, 56, 21015)-Net in Base 32 — Upper bound on s
There is no (22, 56, 21016)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1 942824 147570 802966 758265 304631 378182 652399 036724 816244 490435 354032 857786 723388 269197 > 3256 [i]