Hi,

This bug has been already reported (bug #1690) and corrected.
See the following link :

http://www.mail-archive.com/[email protected]/msg24090.html

Cheers,
-- 
Mounir IDRASSI
IDRIX
http://www.idrix.fr


On Wed, June 18, 2008 9:28 pm, Robert Jackson via RT wrote:
> Hi
>
> I've come across an infinite loop in the polynomial modulus function
> BN_GF2m_mod_arr when the degree of the modulus is a multiple of 32 (on
> 32-bit machines) or 64 (on 64-bit machines).
>
> A simple example which illustrates this (in the attached test case) is:
>
> (z^65 + z^5 + z^4 + z^2 + z + 1) mod (z^64 + z^4 + z^3 + z + 1) = 1
>
> But this will hang indefinitely.
>
> The problem occurs when the degree is a multiple of BN_BITS2.  I believe
> that the top d1 bits are never being cleared in the following line:
>
> d0 = n % BN_BITS2;
> d1 = BN_BITS2 - d0;
>
> if (d0) z[dN] = (z[dN] << d1) >> d1; /* clear up the top d1 bits */
>
> Note when n=32, that d0=0 and d1=32.  Changing the above to (see
> attached patch):
>
> if (d0) z[dN] = (z[dN] << d1) >> d1; else z[dN] = 0; /* clear up the top
> d1 bits */
>
> fixes the problem.
>
> The above seems intuitively correct since the above would be equivalent
> to:
>
> z[dN] = (z[dN] << d1) >> d1;
>
> if shifts greater than BN_BITS2 didn't wrap around (since 0<=d0<BN_BITS2
> and 1<=d1<=BN_BITS2).
>
> Attached are the following files:
>
> test_BN_GF2m_mod_arr.cpp : My test case
> BN_GF2m_mod_arr.patch    : Patch to fix the bug
>
> Regards
>
> Robert
>
>

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