Best Known (92−71, 92, s)-Nets in Base 32
(92−71, 92, 120)-Net over F32 — Constructive and digital
Digital (21, 92, 120)-net over F32, using
- t-expansion [i] based on digital (11, 92, 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
(92−71, 92, 128)-Net in Base 32 — Constructive
(21, 92, 128)-net in base 32, using
- 4 times m-reduction [i] based on (21, 96, 128)-net in base 32, using
- base change [i] based on digital (5, 80, 128)-net over F64, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- net from sequence [i] based on digital (5, 127)-sequence over F64, using
- base change [i] based on digital (5, 80, 128)-net over F64, using
(92−71, 92, 185)-Net over F32 — Digital
Digital (21, 92, 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
(92−71, 92, 3657)-Net in Base 32 — Upper bound on s
There is no (21, 92, 3658)-net in base 32, because
- 1 times m-reduction [i] would yield (21, 91, 3658)-net in base 32, but
- the generalized Rao bound for nets shows that 32m ≥ 93761 207603 674695 243567 370634 309915 396902 136995 571064 114177 409291 690813 488872 274010 074529 272950 884737 469354 571585 434958 419402 641698 983624 > 3291 [i]