Computer Science
Computer Science
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Technical Report Number TR2010-2

Degenerate Keys for RSA Encryption

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

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.