Is RSA algorithm secure if I have fixed message pool and an interceptor have also the message pool?











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Suppose I have a fixed message pool of 1000 messages, person A is sending message from this fixed message pool to person B using RSA.
If an interceptor also have the message pool he can precompute all the encrypted messages using B's public key. Now if he intercept A's message can he surely tell which message A has sent to B?
In this case should we use RSA only for a symmetric key exchange and then messages should be encrypted using a symmetric algorithm?










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    Yes, provided you use it properly (by adding randomized padding to all your plaintext messages).
    – squeamish ossifrage
    Nov 22 at 12:04










  • In this case why doesn't rsa use randomise padding to make the encryption more secure?
    – Habibullah Araphat
    Nov 22 at 16:39










  • The premise of your question is false. Randomized padding is an essential part of the RSA algorithm.
    – squeamish ossifrage
    Nov 22 at 17:04










  • Got it. Thanks.
    – Habibullah Araphat
    Nov 22 at 17:54















up vote
0
down vote

favorite












Suppose I have a fixed message pool of 1000 messages, person A is sending message from this fixed message pool to person B using RSA.
If an interceptor also have the message pool he can precompute all the encrypted messages using B's public key. Now if he intercept A's message can he surely tell which message A has sent to B?
In this case should we use RSA only for a symmetric key exchange and then messages should be encrypted using a symmetric algorithm?










share|improve this question


















  • 1




    Yes, provided you use it properly (by adding randomized padding to all your plaintext messages).
    – squeamish ossifrage
    Nov 22 at 12:04










  • In this case why doesn't rsa use randomise padding to make the encryption more secure?
    – Habibullah Araphat
    Nov 22 at 16:39










  • The premise of your question is false. Randomized padding is an essential part of the RSA algorithm.
    – squeamish ossifrage
    Nov 22 at 17:04










  • Got it. Thanks.
    – Habibullah Araphat
    Nov 22 at 17:54













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Suppose I have a fixed message pool of 1000 messages, person A is sending message from this fixed message pool to person B using RSA.
If an interceptor also have the message pool he can precompute all the encrypted messages using B's public key. Now if he intercept A's message can he surely tell which message A has sent to B?
In this case should we use RSA only for a symmetric key exchange and then messages should be encrypted using a symmetric algorithm?










share|improve this question













Suppose I have a fixed message pool of 1000 messages, person A is sending message from this fixed message pool to person B using RSA.
If an interceptor also have the message pool he can precompute all the encrypted messages using B's public key. Now if he intercept A's message can he surely tell which message A has sent to B?
In this case should we use RSA only for a symmetric key exchange and then messages should be encrypted using a symmetric algorithm?







cryptography rsa






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asked Nov 22 at 10:41









Habibullah Araphat

11




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  • 1




    Yes, provided you use it properly (by adding randomized padding to all your plaintext messages).
    – squeamish ossifrage
    Nov 22 at 12:04










  • In this case why doesn't rsa use randomise padding to make the encryption more secure?
    – Habibullah Araphat
    Nov 22 at 16:39










  • The premise of your question is false. Randomized padding is an essential part of the RSA algorithm.
    – squeamish ossifrage
    Nov 22 at 17:04










  • Got it. Thanks.
    – Habibullah Araphat
    Nov 22 at 17:54














  • 1




    Yes, provided you use it properly (by adding randomized padding to all your plaintext messages).
    – squeamish ossifrage
    Nov 22 at 12:04










  • In this case why doesn't rsa use randomise padding to make the encryption more secure?
    – Habibullah Araphat
    Nov 22 at 16:39










  • The premise of your question is false. Randomized padding is an essential part of the RSA algorithm.
    – squeamish ossifrage
    Nov 22 at 17:04










  • Got it. Thanks.
    – Habibullah Araphat
    Nov 22 at 17:54








1




1




Yes, provided you use it properly (by adding randomized padding to all your plaintext messages).
– squeamish ossifrage
Nov 22 at 12:04




Yes, provided you use it properly (by adding randomized padding to all your plaintext messages).
– squeamish ossifrage
Nov 22 at 12:04












In this case why doesn't rsa use randomise padding to make the encryption more secure?
– Habibullah Araphat
Nov 22 at 16:39




In this case why doesn't rsa use randomise padding to make the encryption more secure?
– Habibullah Araphat
Nov 22 at 16:39












The premise of your question is false. Randomized padding is an essential part of the RSA algorithm.
– squeamish ossifrage
Nov 22 at 17:04




The premise of your question is false. Randomized padding is an essential part of the RSA algorithm.
– squeamish ossifrage
Nov 22 at 17:04












Got it. Thanks.
– Habibullah Araphat
Nov 22 at 17:54




Got it. Thanks.
– Habibullah Araphat
Nov 22 at 17:54












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The text-book RSA encryption algorithm is deterministic. But the official RSA specifications (and also all implementations used in practice) include some (partly random) padding, so we don't actually encrypt plaintext, but pad(plaintext). So the above mentioned problem will not occur.



More details can be found in this answer https://stackoverflow.com/a/7933071/10690480






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    up vote
    0
    down vote













    The text-book RSA encryption algorithm is deterministic. But the official RSA specifications (and also all implementations used in practice) include some (partly random) padding, so we don't actually encrypt plaintext, but pad(plaintext). So the above mentioned problem will not occur.



    More details can be found in this answer https://stackoverflow.com/a/7933071/10690480






    share|improve this answer

























      up vote
      0
      down vote













      The text-book RSA encryption algorithm is deterministic. But the official RSA specifications (and also all implementations used in practice) include some (partly random) padding, so we don't actually encrypt plaintext, but pad(plaintext). So the above mentioned problem will not occur.



      More details can be found in this answer https://stackoverflow.com/a/7933071/10690480






      share|improve this answer























        up vote
        0
        down vote










        up vote
        0
        down vote









        The text-book RSA encryption algorithm is deterministic. But the official RSA specifications (and also all implementations used in practice) include some (partly random) padding, so we don't actually encrypt plaintext, but pad(plaintext). So the above mentioned problem will not occur.



        More details can be found in this answer https://stackoverflow.com/a/7933071/10690480






        share|improve this answer












        The text-book RSA encryption algorithm is deterministic. But the official RSA specifications (and also all implementations used in practice) include some (partly random) padding, so we don't actually encrypt plaintext, but pad(plaintext). So the above mentioned problem will not occur.



        More details can be found in this answer https://stackoverflow.com/a/7933071/10690480







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Nov 22 at 18:55









        Habibullah Araphat

        11




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