On the Use of RSA as a Secret Key Cryptosystem

  • Authors:
  • Karl Brincat

  • Affiliations:
  • Information Security Group, Mathematics Department, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2001

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Abstract

Onefundamental difference between the use of symmetric and publickey cryptosystems is that the former requires trust between senderand receiver. Typically they will share a secret key and neitherhas any protection from the other. However, many users are nowfinding that they want keys to be used for `one purpose only'and are relying on hardware functionality to introduce the conceptof unidirectional keys for symmetric algorithms. (So, for instance,the hardware functionality might ensure that a key used for encryptingmessages from user A to user B cannot be used for encryptingmessages in the opposite direction.) For public key systems thisconcept of unidirectional keys is automatically satisfied. However,when the encrypting key is made public, the exposure of thiskey means that the deciphering key is only safe from compromisewhen the keys are very large. If, on the other hand, both keyswere kept secret then it might be possible to use much smallerkeys. In this paper we investigate ways of using the primitivesof an RSA public key cryptosystem in a symmetric key `setting'i.e. where neither key is made public.