Non-linear Complexity of the Naor–Reingold Pseudo-random Function
Author(s) -
William D. Banks,
Frances Griffin,
Daniel Lieman,
Igor E. Shparlinski
Publication year - 2000
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-67380-6
DOI - 10.1007/10719994_5
Subject(s) - upper and lower bounds , function (biology) , computer science , computational complexity theory , exponential function , time complexity , algorithm , mathematics , discrete mathematics , combinatorics , mathematical analysis , evolutionary biology , biology
We obtain an exponential lower bound on the non-linear complexity of the new pseudo-random function, introduced recently by M. Naor and O. Reingold. This bound is an extension of the lower bound on the linear complexity of this function that has been obtained by F. Griffin and I. E. Shparlinski.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom