Solve Cryptography Exercises: Rabbin & RSA Protocols

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SUMMARY

The discussion revolves around solving cryptography exercises involving the Rabin protocol and RSA algorithm. For the Rabin protocol, with parameters p=31, q=51, and B=15, the encrypted message C for M=20 is calculated using the Rabin encryption formula. In the RSA scenario, Alice's public key is (n,e)=(667,3), and the challenge is to determine the signature sig(m2) for m2=46, given the signature sig(m1) for m1=26, without factoring n or deriving the private key d from e.

PREREQUISITES
  • Understanding of Rabin cryptography and its encryption process
  • Familiarity with RSA algorithm and public key cryptography
  • Knowledge of modular arithmetic and its applications in cryptography
  • Basic concepts of digital signatures and their verification
NEXT STEPS
  • Study the Rabin encryption formula and its decryption process
  • Learn about RSA signature generation and verification techniques
  • Explore modular arithmetic applications in cryptographic protocols
  • Investigate the implications of public key parameters in RSA security
USEFUL FOR

Students of cryptography, software developers implementing secure communication protocols, and anyone interested in understanding the practical applications of Rabin and RSA algorithms.

kopros
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Hi I have stuck at these two exercises ...



1)

Suppose we use the Rabbin protocol and we have chosen p=31,q=51 and B=15. If we want to transmit the message M=20 which will be the encrypted message C?? Also what are the messages the recipient will receive decrypting C ??



2)

Suppose we work in RSA and Alice has the public key (n,e)=(667,3). Suppose m1=26, m2=46, and the signature of Alice in m1 is sig(m1). We want to find sig(m2). We have the right to give her a message x, x different from m2 and she will sign it. We can't use the factoring of 667 neither can we find the d from e=3. What message should we give her?

thnx a lot
 
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kpros,

was this assigned as a homework problem in a class?

just curious.

DJ
 
Hi,
no I am just trying to solve them from a book I study these days..
 
kopros said:
Hi,
no I am just trying to solve them from a book I study these days..

Kopros,

What's the name of the book?

DJ
 
Introduction to Cryptography by Johannes Buchmann
 
I'll see if I have a copy. DJ
 

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