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tech / sci.math / Re: RSA encryption breaking

SubjectAuthor
* RSA encryption breakingme
+- Re: RSA encryption breakingChris M. Thomasson
`* Re: RSA encryption breakingChris M. Thomasson
 `- Re: RSA encryption breakingChris M. Thomasson

1
RSA encryption breaking

<943bbdd0-7021-4bcd-9d76-64f8b2a20d8fn@googlegroups.com>

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https://www.novabbs.com/tech/article-flat.php?id=70510&group=sci.math#70510

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Subject: RSA encryption breaking
From: idat...@gmail.com (me)
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 by: me - Wed, 11 Aug 2021 12:34 UTC

Suppose you had a finite sized message M

lim epsilon->0 epsilon*M = 0

Suppose you had a fake message M_friend, M_enemy, one for friend, one for enemy

lim epsilon1->0 epsilon*M_friend = epsilon*M = 0

epsilon's cancel

M_friend= M

similarly for enemy

M_enemy = M

A good test case

"This is a test"

this text appears in 600,000 pgp documents

https://www.google.com/search?q=pgp+%22this+is+a+test%22&sxsrf=ALeKk01Bt9GdcyFo4-8kD4Ll_G7C18mk_Q%3A1628685219786&source=hp&ei=o8MTYYL8LITK_QbMgYHoBg&iflsig=AINFCbYAAAAAYRPRs2OjuiSsUI5Lapo2ta0DRn_ZU6Cn&oq=pgp+%22this+is+a+test%22&gs_lcp=Cgdnd3Mtd2l6EAM6DgguEIAEELEDEIMBEJMCOggIABCABBCxAzoRCC4QgAQQsQMQgwEQxwEQowI6DgguEIAEELEDEMcBEKMCOgsIABCABBCxAxCDAToFCAAQgAQ6CAguEIAEELEDOggIABCxAxCDAToGCAAQFhAeOggIABAWEAoQHjoFCAAQhgM6BQghEKABOgUIIRCrAjoICCEQFhAdEB5QwApYk0pg9FNoAnAAeACAAaABiAHdDpIBBDE1LjWYAQCgAQE&sclient=gws-wiz&ved=0ahUKEwjC2eSf_ajyAhUEZd8KHcxAAG0Q4dUDCAk&uact=5

-suresh

Re: RSA encryption breaking

<sf1514$ge3$1@gioia.aioe.org>

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https://www.novabbs.com/tech/article-flat.php?id=70549&group=sci.math#70549

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: RSA encryption breaking
Date: Wed, 11 Aug 2021 11:30:59 -0700
Organization: Aioe.org NNTP Server
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 by: Chris M. Thomasson - Wed, 11 Aug 2021 18:30 UTC

On 8/11/2021 5:34 AM, me wrote:
>
> Suppose you had a finite sized message M
>
> lim epsilon->0 epsilon*M = 0
>
> Suppose you had a fake message M_friend, M_enemy, one for friend, one for enemy
>
> lim epsilon1->0 epsilon*M_friend = epsilon*M = 0
>
> epsilon's cancel
>
> M_friend= M
>
> similarly for enemy
>
> M_enemy = M
>
> A good test case
>
> "This is a test"
>
> this text appears in 600,000 pgp documents
>
> https://www.google.com/search?q=pgp+%22this+is+a+test%22&sxsrf=ALeKk01Bt9GdcyFo4-8kD4Ll_G7C18mk_Q%3A1628685219786&source=hp&ei=o8MTYYL8LITK_QbMgYHoBg&iflsig=AINFCbYAAAAAYRPRs2OjuiSsUI5Lapo2ta0DRn_ZU6Cn&oq=pgp+%22this+is+a+test%22&gs_lcp=Cgdnd3Mtd2l6EAM6DgguEIAEELEDEIMBEJMCOggIABCABBCxAzoRCC4QgAQQsQMQgwEQxwEQowI6DgguEIAEELEDEMcBEKMCOgsIABCABBCxAxCDAToFCAAQgAQ6CAguEIAEELEDOggIABCxAxCDAToGCAAQFhAeOggIABAWEAoQHjoFCAAQhgM6BQghEKABOgUIIRCrAjoICCEQFhAdEB5QwApYk0pg9FNoAnAAeACAAaABiAHdDpIBBDE1LjWYAQCgAQE&sclient=gws-wiz&ved=0ahUKEwjC2eSf_ajyAhUEZd8KHcxAAG0Q4dUDCAk&uact=5

Try to crack this sucker:

A message encrypted with the default key, everybody can read it:

http://fractallife247.com/test/hmac_cipher/ver_0_0_0_1?ct_hmac_cipher=9a809dbd79fd71fd5c50fb33e0d7772e4ad7e530d6acf2c3f039e65c58c942f296e6540fd8e0cef054f1ea52ce182a13110594ab33be9258994e9479965f5434b9e7c367ed01f99ef73896b24e06a9c27c

Here is the same message, encrypted using a different password:

http://fractallife247.com/test/hmac_cipher/ver_0_0_0_1?ct_hmac_cipher=24aca32703c1fd898dad990c4f576561c1a0e8993299fbfc9efdd0938119df0eff866c188ca6910bf4c5095eeaf1dcd10e8acbe7dad512828e441f13da8492c5c3ba31bf74326296bce1bc956e6523efa8

;^)

Re: RSA encryption breaking

<sf1ck1$1oat$1@gioia.aioe.org>

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https://www.novabbs.com/tech/article-flat.php?id=70574&group=sci.math#70574

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: RSA encryption breaking
Date: Wed, 11 Aug 2021 13:40:32 -0700
Organization: Aioe.org NNTP Server
Message-ID: <sf1ck1$1oat$1@gioia.aioe.org>
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 by: Chris M. Thomasson - Wed, 11 Aug 2021 20:40 UTC

On 8/11/2021 5:34 AM, me wrote:
>
> Suppose you had a finite sized message M
>
> lim epsilon->0 epsilon*M = 0
>
> Suppose you had a fake message M_friend, M_enemy, one for friend, one for enemy
>
> lim epsilon1->0 epsilon*M_friend = epsilon*M = 0
>
> epsilon's cancel
>
> M_friend= M
>
> similarly for enemy
>
> M_enemy = M
>
> A good test case
>
> "This is a test"
>
> this text appears in 600,000 pgp documents
>
> https://www.google.com/search?q=pgp+%22this+is+a+test%22&sxsrf=ALeKk01Bt9GdcyFo4-8kD4Ll_G7C18mk_Q%3A1628685219786&source=hp&ei=o8MTYYL8LITK_QbMgYHoBg&iflsig=AINFCbYAAAAAYRPRs2OjuiSsUI5Lapo2ta0DRn_ZU6Cn&oq=pgp+%22this+is+a+test%22&gs_lcp=Cgdnd3Mtd2l6EAM6DgguEIAEELEDEIMBEJMCOggIABCABBCxAzoRCC4QgAQQsQMQgwEQxwEQowI6DgguEIAEELEDEMcBEKMCOgsIABCABBCxAxCDAToFCAAQgAQ6CAguEIAEELEDOggIABCxAxCDAToGCAAQFhAeOggIABAWEAoQHjoFCAAQhgM6BQghEKABOgUIIRCrAjoICCEQFhAdEB5QwApYk0pg9FNoAnAAeACAAaABiAHdDpIBBDE1LjWYAQCgAQE&sclient=gws-wiz&ved=0ahUKEwjC2eSf_ajyAhUEZd8KHcxAAG0Q4dUDCAk&uact=5

How large is the RSA? 102, 2048, ect?

Re: RSA encryption breaking

<sf1cl6$1oat$2@gioia.aioe.org>

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https://www.novabbs.com/tech/article-flat.php?id=70576&group=sci.math#70576

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From: chris.m....@gmail.com (Chris M. Thomasson)
Newsgroups: sci.math
Subject: Re: RSA encryption breaking
Date: Wed, 11 Aug 2021 13:41:09 -0700
Organization: Aioe.org NNTP Server
Message-ID: <sf1cl6$1oat$2@gioia.aioe.org>
References: <943bbdd0-7021-4bcd-9d76-64f8b2a20d8fn@googlegroups.com>
<sf1ck1$1oat$1@gioia.aioe.org>
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 by: Chris M. Thomasson - Wed, 11 Aug 2021 20:41 UTC

On 8/11/2021 1:40 PM, Chris M. Thomasson wrote:
> On 8/11/2021 5:34 AM, me wrote:
>>
>> Suppose you had a finite sized message M
>>
>> lim epsilon->0 epsilon*M  = 0
>>
>> Suppose you had a fake message M_friend, M_enemy, one for friend, one
>> for enemy
>>
>> lim epsilon1->0 epsilon*M_friend  = epsilon*M = 0
>>
>> epsilon's cancel
>>
>> M_friend= M
>>
>> similarly for enemy
>>
>> M_enemy  = M
>>
>> A good test case
>>
>> "This is a test"
>>
>> this text appears in 600,000 pgp documents
>>
>> https://www.google.com/search?q=pgp+%22this+is+a+test%22&sxsrf=ALeKk01Bt9GdcyFo4-8kD4Ll_G7C18mk_Q%3A1628685219786&source=hp&ei=o8MTYYL8LITK_QbMgYHoBg&iflsig=AINFCbYAAAAAYRPRs2OjuiSsUI5Lapo2ta0DRn_ZU6Cn&oq=pgp+%22this+is+a+test%22&gs_lcp=Cgdnd3Mtd2l6EAM6DgguEIAEELEDEIMBEJMCOggIABCABBCxAzoRCC4QgAQQsQMQgwEQxwEQowI6DgguEIAEELEDEMcBEKMCOgsIABCABBCxAxCDAToFCAAQgAQ6CAguEIAEELEDOggIABCxAxCDAToGCAAQFhAeOggIABAWEAoQHjoFCAAQhgM6BQghEKABOgUIIRCrAjoICCEQFhAdEB5QwApYk0pg9FNoAnAAeACAAaABiAHdDpIBBDE1LjWYAQCgAQE&sclient=gws-wiz&ved=0ahUKEwjC2eSf_ajyAhUEZd8KHcxAAG0Q4dUDCAk&uact=5
>>
>
> How large is the RSA? 102, 2048, ect?
^^^^^
1024 damn it!

1
server_pubkey.txt

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