Best Known (114−68, 114, s)-Nets in Base 16
(114−68, 114, 225)-Net over F16 — Constructive and digital
Digital (46, 114, 225)-net over F16, using
- t-expansion [i] based on digital (40, 114, 225)-net over F16, using
- net from sequence [i] based on digital (40, 224)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 40 and N(F) ≥ 225, using
- net from sequence [i] based on digital (40, 224)-sequence over F16, using
(114−68, 114, 243)-Net over F16 — Digital
Digital (46, 114, 243)-net over F16, using
- net from sequence [i] based on digital (46, 242)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 46 and N(F) ≥ 243, using
(114−68, 114, 9815)-Net in Base 16 — Upper bound on s
There is no (46, 114, 9816)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 186596 216733 201247 721299 660525 062024 079510 720576 338491 000147 881537 511036 590296 239811 091243 600868 550881 516065 865834 243523 688315 500220 829386 > 16114 [i]