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» Complexity of Ring Morphism Problems
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CC
2006
Springer
147views System Software» more  CC 2006»
13 years 5 months 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
COCOON
2006
Springer
13 years 8 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
PKC
2012
Springer
234views Cryptology» more  PKC 2012»
11 years 7 months ago
Ring-LWE in Polynomial Rings
Abstract. The Ring-LWE problem, introduced by Lyubashevsky, Peikert, and Regev (Eurocrypt 2010), has been steadily finding many uses in numerous cryptographic applications. Still,...
Léo Ducas, Alain Durmus
STACS
2009
Springer
13 years 11 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay