Best Known (41, 41+62, s)-Nets in Base 16
(41, 41+62, 225)-Net over F16 — Constructive and digital
Digital (41, 103, 225)-net over F16, using
- t-expansion [i] based on digital (40, 103, 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
(41, 41+62, 8276)-Net in Base 16 — Upper bound on s
There is no (41, 103, 8277)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 10606 843179 152096 670199 730007 735190 802881 784774 478764 104878 453749 240438 437954 090304 780525 826138 048261 688665 465367 022658 917056 > 16103 [i]