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Technical Report Number TR2010-2

Title
Degenerate Keys for RSA Encryption

Author
Seth D. Bergmann
Department of Computer Science
Rowan College of New Jersey
Glassboro, NJ 08028

Abstract
Some keys for the RSA public key cryptosystem fail to encrypt all possible plaintext messages. A necessary and sufficient condition for these degenerate keys is given. The probability of choosing such a key, when choosing keys at random, is presented. The impact of degenerate keys in an academic setting is discussed.