Best Known (46, 120, s)-Nets in Base 2
(46, 120, 34)-Net over F2 — Constructive and digital
Digital (46, 120, 34)-net over F2, using
- t-expansion [i] based on digital (45, 120, 34)-net over F2, using
- net from sequence [i] based on digital (45, 33)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 41, N(F) = 32, 1 place with degree 2, and 1 place with degree 4 [i] based on function field F/F2 with g(F) = 41 and N(F) ≥ 32, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (45, 33)-sequence over F2, using
(46, 120, 92)-Net in Base 2 — Upper bound on s
There is no (46, 120, 93)-net in base 2, because
- the generalized Rao bound for nets shows that 2m ≥ 1 757554 752014 535215 407075 259540 531100 > 2120 [i]