Degenerate keys for RSA encryption

  • Authors:
  • Seth D. Bergmann

  • Affiliations:
  • Rowan University, Glassboro, New Jersey

  • Venue:
  • ACM SIGCSE Bulletin
  • Year:
  • 2009

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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.