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It has been frequently asked whether DES encryption is closed under composition; i.e., is encrypting a plaintext under one DES key and then encrypting the result under another key always

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5.6 Is DES a group?

It has been frequently asked whether DES encryption is closed under composition; i.e., is encrypting a plaintext under one DES key and then encrypting the result under another key always equivalent to a single encryption under a single key? Algebraically, is DES a group?

If so, then DES might be weaker than would otherwise be the case; see [39] for a more complete discussion However, the answer is no, DES

is not a group [18]; this issue was settled only recently, after many years of speculation and circumstantial evidence This result seems to imply that techniques such as triple encryption do in fact increase

the security of DES

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public-key cryptosystem RSA Laboratories reviews, designs and

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For more information about RSA Laboratories, call or write to

RSA Laboratories

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companies

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This document is available in ASCII, Postscript, and Latex formats

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Please send comments and corrections to faq-editor@rsa.com

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X-Last-Updated: 1994/06/13

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Version: 2.0

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(This document has been brought to you in part by CRAM See the

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===

Answers To

FREQUENTLY ASKED QUESTIONS

About Today's Cryptography

Paul Fahn

RSA Laboratories

100 Marine Parkway

Redwood City, CA 94065

Copyright (c) 1993 RSA Laboratories, a division of RSA Data Security, Inc All rights reserved

Version 2.0, draft 2f

Last update: September 20, 1993

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