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JOURNALS // Prikladnaya Diskretnaya Matematika. Supplement // Archive

Prikl. Diskr. Mat. Suppl., 2023 Issue 16, Pages 98–102 (Mi pdma618)

Mathematical Methods of Cryptography

On the security of Domingo-Ferrer's homomorphic cryptosystem against ciphertext-only attack

A. V. Trepacheva

Southern Federal University, Rostov-on-Don

Abstract: The paper proposes an analysis of the security of the Domingo-Ferrer's homomorphic encryption scheme against the ciphertext-only attack. This cryptosystem provides a good counterexample to the equivalence hypothesis of ciphertext-only attack and known plaintext attack on encryption schemes, that are homomorphic over the residue ring modulo a hardly-factorizable number.

Keywords: homomorphic encryption, cryptanalysys, ciphertext-only attack, Domingo-Ferrer's encryption scheme, factorization problem.

UDC: 519.6

DOI: 10.17223/2226308X/16/25



© Steklov Math. Inst. of RAS, 2024