Best Known (50, 122, s)-Nets in Base 16
(50, 122, 243)-Net over F16 — Constructive and digital
Digital (50, 122, 243)-net over F16, using
- t-expansion [i] based on digital (48, 122, 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
(50, 122, 255)-Net over F16 — Digital
Digital (50, 122, 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
(50, 122, 11442)-Net in Base 16 — Upper bound on s
There is no (50, 122, 11443)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 800 461717 037545 443996 231901 353130 473282 573669 775663 383583 684664 558191 828651 773276 069844 621640 953522 949923 229381 291414 492262 412802 336140 364474 621596 > 16122 [i]