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- Path: sparky!uunet!destroyer!cs.ubc.ca!unixg.ubc.ca!unixg.ubc.ca!unruh
- From: unruh@unixg.ubc.ca (Bill Unruh)
- Newsgroups: sci.crypt
- Subject: Re: DES generates A_(2^64)?
- Date: 16 Oct 1992 05:34:38 GMT
- Organization: The University of British Columbia
- Lines: 13
- Distribution: world
- Message-ID: <unruh.719212856@physics.ubc.ca>
- References: <1992Oct13.174505.24230@b11.b11.ingr.com> <1992Oct15.125830.25539@bnr.ca> <unruh.719169829@unixg.ubc.ca> <1992Oct15.211300.27098@bnr.ca> <PHR.92Oct15174530@napa.telebit.com>
- NNTP-Posting-Host: unixg.ubc.ca
-
- phr@telebit.com (Paul Rubin) writes:
-
- >I heard that someone in Eastern Germany recently proved a stronger
- >result, that DES generates the alternating group on 2^64 letters.
-
- What is the "alternating group"? Does this mean that for any two 64 bit
- words, x and y, there exists some sequence of DES transformations that
- take x into y?, or that for any 1-1 onto mapping from the set of all {x}
- to itself, there exists a sequence of DES which generates that mapping
- (ie, that the DES group contains 2^(2^64) elements)?
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