Best Known (52, 112, s)-Nets in Base 16
(52, 112, 243)-Net over F16 — Constructive and digital
Digital (52, 112, 243)-net over F16, using
- t-expansion [i] based on digital (48, 112, 243)-net over F16, using
- net from sequence [i] based on digital (48, 242)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 48 and N(F) ≥ 243, using
- net from sequence [i] based on digital (48, 242)-sequence over F16, using
(52, 112, 279)-Net over F16 — Digital
Digital (52, 112, 279)-net over F16, using
(52, 112, 25106)-Net in Base 16 — Upper bound on s
There is no (52, 112, 25107)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 726 909816 955453 592315 619045 088451 976986 812940 790029 917672 774432 243466 634444 055882 467652 983470 388064 716763 046331 343734 756191 350793 051776 > 16112 [i]