Best Known (16, 102, s)-Nets in Base 16
(16, 102, 65)-Net over F16 — Constructive and digital
Digital (16, 102, 65)-net over F16, using
- t-expansion [i] based on digital (6, 102, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
(16, 102, 98)-Net over F16 — Digital
Digital (16, 102, 98)-net over F16, using
- t-expansion [i] based on digital (15, 102, 98)-net over F16, using
- net from sequence [i] based on digital (15, 97)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 15 and N(F) ≥ 98, using
- net from sequence [i] based on digital (15, 97)-sequence over F16, using
(16, 102, 784)-Net in Base 16 — Upper bound on s
There is no (16, 102, 785)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 669 095497 666695 712026 966945 423827 016205 760635 761940 432240 867901 417488 016307 739415 675007 284632 626140 432608 118836 020878 536576 > 16102 [i]