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Article #3088Re: Fraction part of squareroots as one time pads ?
From: Robert D. Silverman
Date: Mon, 11 Jan 1993 14:31
Date: Mon, 11 Jan 1993 14:31
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2294 bytes
In article <1993Jan11.111351.7777@hsr.no> frank@hsr.no (Frank A Stevenson) writes: :At one time I calculated pi and e with several houndred thousand decimal digits, :and after taking interest in cryptology the question sprung to mind: Would it be :safe to use the binary expansion of an irrational number as a one time pad. To my :knowledge suche sequences of bits exhibits no knowns statistical patterns, and :provided the key is large enough >60 bits, the one time pad would be sufficently :hard to find. Let me first politely ask that you limit the length of your lines. Run-over lines are hard to read. Your last point might be questioned. There are some good integer relation finding algorithms (Ferguson & Forcade, for example and improvements) that allow one to very quickly determine that the number is the root of an integer, based upon just the first few digits. Once that is determined, finding the rest of the key is trivial. The same would be true for any ALGEBRAIC irrational. : :If I where to use a 68000 processor for the implementation of this scheme two :difficulties arises: : :1) Taking square roots is rather expensive, and this limits the size of the :message to be encrypted. Define "expensive". Using FFT multiplies, once could compute a square root of an integer to several thousand bits in just a few seconds on a modern workstation. : :2) For effeciency reasons it is best to extract square roots limited to 32 bits :of length. (The greatest divisor fopr the DIVU command) This provides a rather Why is this? Use multi-precision techniques. -- Bob Silverman These are my opinions and not MITRE's. Mitre Corporation, Bedford, MA 01730 "You can lead a horse's ass to knowledge, but you can't make him think"
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Newsgroups: sci.crypt Path: arc1-ca.pugleaf.net!sparky!uunet!spool.mu.edu!agate!linus!linus.mitre.org!gauss!bs From: bs@gauss.mitre.org (Robert D. Silverman) Subject: Re: Fraction part of squareroots as one time pads ? Message-ID: <1993Jan11.143125.24040@linus.mitre.org> Sender: news@linus.mitre.org (News Service) Nntp-Posting-Host: gauss.mitre.org Organization: Research Computer Facility, MITRE Corporation, Bedford, MA References: <1993Jan11.111351.7777@hsr.no> Date: Mon, 11 Jan 1993 14:31:25 GMT Lines: 41