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Chosen Ciphertext Attacks on RSA

In the domain of cryptography, a chosen ciphertext attack (CCA) is a significant threat, particularly to public-key cryptosystems. This article aims to resolve the complexities of chosen-ciphertext attacks, exploring their implications and impact on various cryptographic schemes.

Terminology on Cipher Text Attacks

Chosen-Ciphertext Attack (CCA): A chosen ciphertext attack allows an adversary to select a piece of ciphertext and attempt to reveal its corresponding decrypted plaintext. This model is particularly relevant to public-key cryptosystems.



Cryptanalyst: A cryptanalyst is an individual who analyzes and attempts to break cryptographic systems to expose their vulnerabilities.

Explaining Chosen-Ciphertext Attacks

In a chosen ciphertext attack, the cryptanalyst collects information by selecting a ciphertext and obtaining its decryption under an unknown key. The opponent can input known ciphertexts into the system, aiming to conclude the hidden secret key used for decryption.



Certain secure schemes can be compromised under a chosen ciphertext attack. For instance, the El Gamal cryptosystem, initially semantically secure, becomes vulnerable in this context. Early RSA padding used in SSL protocols also faced challenges from worldly-wise chosen-ciphertext attacks.

Categories of Cryptanalytic Attacks

According to RSA, cryptanalytic attacks are categorized based on the information available to the cryptanalyst. These include ciphertext-only attacks, known-plaintext attacks, and chosen-plaintext attacks. Chosen-plaintext attacks are particularly relevant to public-key cryptography, where encryption keys are public.

Batch and Adaptive Chosen-Plaintext Attacks

Two forms of chosen-plaintext attacks are batch chosen-plaintext attacks and adaptive chosen-plaintext attacks. The former involves choosing all plaintexts before encryption, while the latter dynamically selects plaintext samples based on previous encryption results.

Probabilistic Encryption

Public key encryption algorithms vulnerable to “dictionary”-type attacks necessitate probabilistic encryption to enhance security. This involves randomized encryption to prevent straightforward decryption table exploitation.

Adaptive Chosen-Ciphertext Attack (CCA2)

An adaptive chosen-ciphertext attack is an interactive form where an attacker sends ciphertexts to be decrypted and uses the results to choose subsequent ciphertexts. This attack aims to gradually reveal information about an encrypted message or the decryption key.

Frequently Asked Questions on Cipher Text Attacks

What is the primary focus of a chosen ciphertext attack?

A chosen-ciphertext attack allows the adversary to choose a ciphertext and attempt to uncover its corresponding decrypted plaintext, primarily affecting public-key cryptosystems.

Why are chosen-plaintext attacks significant in public-key cryptography?

In public-key cryptography, where encryption keys are public, chosen-plaintext attacks become crucial as attackers can encrypt any plaintext of their choice.

What distinguishes batch and adaptive chosen-plaintext attacks?

Batch chosen-plaintext attacks involve choosing all plaintexts before encryption, while adaptive attacks dynamically select plaintext samples based on previous results.

Why is probabilistic encryption important in public-key cryptography?

Probabilistic encryption, using randomized methods, is essential to prevent “dictionary”-type attacks on public key encryption algorithms.

How does an adaptive chosen-ciphertext attack differ from an indifferent one?

An adaptive chosen-ciphertext attack (CCA2) is an interactive form where the attacker dynamically selects ciphertexts based on previous results, distinguishing it from an indifferent chosen-ciphertext attack (CCA1).

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