Best Known (91−72, 91, s)-Nets in Base 32
(91−72, 91, 120)-Net over F32 — Constructive and digital
Digital (19, 91, 120)-net over F32, using
- t-expansion [i] based on digital (11, 91, 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
(91−72, 91, 172)-Net over F32 — Digital
Digital (19, 91, 172)-net over F32, using
- net from sequence [i] based on digital (19, 171)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 19 and N(F) ≥ 172, using
(91−72, 91, 2919)-Net in Base 32 — Upper bound on s
There is no (19, 91, 2920)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 93698 680183 713097 911365 091752 917204 369418 466471 934356 177669 584588 434793 588880 583630 606673 888007 281047 762024 910925 888268 305881 997635 574757 > 3291 [i]