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» Automorphisms of Finite Rings and Applications to Complexity...
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125
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CC
2006
Springer
147views System Software» more  CC 2006»
15 years 14 days ago
Complexity of Ring Morphism Problems
Abstract. We study the complexity of the isomorphism and automorphism problems for finite rings. We show that both integer factorization and graph isomorphism reduce to the problem...
Neeraj Kayal, Nitin Saxena
93
Voted
COCOON
2006
Springer
15 years 4 months ago
The Complexity of Black-Box Ring Problems
We study the complexity of some computational problems on finite black-box rings whose elements are encoded as strings of a given length and the ring operations are performed by a ...
Vikraman Arvind, Bireswar Das, Partha Mukhopadhyay
91
Voted
BSL
2000
153views more  BSL 2000»
15 years 8 days ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon
131
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ICISC
2000
126views Cryptology» more  ICISC 2000»
15 years 1 months ago
Cryptographic Applications of Sparse Polynomials over Finite Rings
Abstract. This paper gives new examples that exploit the idea of using sparse polynomials with restricted coefficients over a finite ring for designing fast, reliable cryptosystems...
William D. Banks, Daniel Lieman, Igor Shparlinski,...