Guide Twenty Years of Attacks on the RSA Cryptosystem

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Twenty years of attacks on the RSA cryptosystem. Authors: D. Boneh. Abstract: Two decades of research led to a number fascinating attacks on RSA. We survey .
Table of contents

EPB1 en. An authentication system executing an elliptic curve digital signature cryptographic process. WOA1 en.

Modified Multi Prime RSA Cryptosystem

Countermeasure procedures in an electronic component implementing an elliptical curve type public key encryption algorithm. JPB2 ja.

Method of performing cipher block chaining using elliptic polynomial cryptography. Countermeasure method in an electronic component using a public key cryptography algorithm on an elliptic curve.

Power analysis attacks and algorithmic approaches to their countermeasures for Koblitz curve cryptosystems. Segar et al. JPA ja.

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Coron et al. Precise bounds for Montgomery modular multiplication and some potentially insecure RSA moduli. USA1 en.

A simple example

Thank you! Published by Baldwin Gavin Mathews Modified over 3 years ago.


  1. The verbal domain.
  2. Partial Key Exposure Attack on CRT-RSA;
  3. The Pirates of the Prairies.
  4. The In-Between World Of Vikram Lall!

No known mechanism to easily invert f k M However, not proven to be impossible. Implementation Difference between the function and the cryptosystem Cryptosystem is not semantically secure Given N, e, C it is possible to recover some information about M Example: Jacobi symbol of M over N Fixed by padding M with random bits.

Must N be factored in order to efficiently compute e th roots mod N?


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  • Is breaking RSA as hard as factoring? Probably not Evidence that for small e, answer may be no There may not exist a polynomial-time reduction from factoring to breaking RSA However, not proven Negative answered probably preferred over positive answer. Trusted authority can provide user i with keys N, e i , N, d i Attacker can use own e a, d a to factor N Once N is factored, recovering d i easy Do not reuse N.

    Implementing Secure RSA Cryptosystems Using Your Own Cryptographic JCE Provider

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