Best Known (51, 119, s)-Nets in Base 16
(51, 119, 243)-Net over F16 — Constructive and digital
Digital (51, 119, 243)-net over F16, using
- t-expansion [i] based on digital (48, 119, 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
(51, 119, 255)-Net over F16 — Digital
Digital (51, 119, 255)-net over F16, using
- t-expansion [i] based on digital (50, 119, 255)-net over F16, using
- net from sequence [i] based on digital (50, 254)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 50 and N(F) ≥ 255, using
- net from sequence [i] based on digital (50, 254)-sequence over F16, using
(51, 119, 14765)-Net in Base 16 — Upper bound on s
There is no (51, 119, 14766)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 195265 000165 342626 228640 806416 120946 199061 853720 137679 924071 447572 317827 299261 796902 082755 259185 777741 444555 680194 662358 353320 109609 038855 933886 > 16119 [i]