[119244] in Cypherpunks

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logarithms of nonsingular binary matrices (fwd)

daemon@ATHENA.MIT.EDU (Jim Choate)
Wed Oct 20 09:43:42 1999

From: Jim Choate <ravage@einstein.ssz.com>
Message-Id: <199910201220.HAA14578@einstein.ssz.com>
To: billp@nmol.com
Date: Wed, 20 Oct 1999 07:20:00 -0500 (CDT)
Cc: cypherpunks@einstein.ssz.com
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Reply-To: Jim Choate <ravage@einstein.ssz.com>


Hi Bill,

----- Forwarded message from bill payne -----

Date: Tue, 19 Oct 1999 20:51:51 -0600
From: bill payne <billp@nmol.com>
Subject: CDR: logarithms of  nonsingular binary matrices

Roots of nonsingular binary matrices can be computed.

 	011 011       010     
        111 111  =    001
        101 101       110

----- End of forwarded message from bill payne -----

Let's take element 1,1 of your resultant matrix. It is the 'sum of products'
of the first row of the first matrix and the first colum of the second
matrix. Since we're doing binary matrices we replace multiplication with AND
and addition with OR. This gives,

(0*0)+(1*1)+(1*1)=1

Not 0 as you have stated.

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