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Re: Shamir secret sharing and information theoretic security

daemon@ATHENA.MIT.EDU (Jonathan Katz)
Fri Feb 20 12:40:09 2009

Date: Fri, 20 Feb 2009 12:34:31 -0500 (EST)
From: Jonathan Katz <jkatz@cs.umd.edu>
To: "R.A. Hettinga" <rah@shipwright.com>
cc: Cryptography <cryptography@metzdowd.com>
In-Reply-To: <A7C20848-F70F-417C-ACA4-A59A81E0F02C@shipwright.com>

On Tue, 17 Feb 2009, R.A. Hettinga wrote:

> hi,
>
>
> I was going through the wikipedia example of shamir secret sharing which says 
> it is information theoretically secure.
>
> http://en.wikipedia.org/wiki/Shamir%27s_Secret_Sharing
> ...

The scheme is defined over a finite field *not* over the integers. When 
Shamir's scheme is run over a finite field, it is information 
theoretically secure.

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