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COMBINATORICS
1998
93views more  COMBINATORICS 1998»
13 years 4 months ago
Durfee Polynomials
Let F(n) be a family of partitions of n and let F(n d) denote the set of partitions in F(n) with Durfee square of size d. We de ne the Durfee polynomial of F(n) to be the polynomi...
E. Rodney Canfield, Sylvie Corteel, Carla D. Savag...
ASIACRYPT
2000
Springer
13 years 9 months ago
Cryptanalysis of the RSA Schemes with Short Secret Exponent from Asiacrypt '99
At Asiacrypt ’99, Sun, Yang and Laih proposed three RSA variants with short secret exponent that resisted all known attacks, including the recent Boneh-Durfee attack from Eurocry...
Glenn Durfee, Phong Q. Nguyen
PKC
2010
Springer
138views Cryptology» more  PKC 2010»
13 years 8 months ago
Maximizing Small Root Bounds by Linearization and Applications to Small Secret Exponent RSA
We present an elementary method to construct optimized lattices that are used for finding small roots of polynomial equations. Former methods first construct some large lattice i...
Mathias Herrmann, Alexander May
ACISP
2010
Springer
13 years 6 months ago
Solving Generalized Small Inverse Problems
We introduce a "generalized small inverse problem (GSIP)" and present an algorithm for solving this problem. GSIP is formulated as finding small solutions of f(x0, x1, . ...
Noboru Kunihiro
PKC
2005
Springer
144views Cryptology» more  PKC 2005»
13 years 10 months ago
RSA with Balanced Short Exponents and Its Application to Entity Authentication
In typical RSA, it is impossible to create a key pair (e, d) such that both are simultaneously much shorter than φ(N). This is because if d is selected first, then e will be of t...
Hung-Min Sun, Cheng-Ta Yang