Advances in cryptology

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This work covers a range of topics in cryptography, including cryptanalysis, public key systems, block ciphers, and distributed cryptography. It explores the cryptanalysis of RSA with a private key, as well as the analysis of Skipjack reduced to 31 rounds using impossible differentials. The performance of universal hash functions is examined, alongside lower bounds for oblivious transfer reductions and the implications of weakened security assumptions. The text delves into efficient threshold public key cryptosystems secure against adaptive chosen ciphertext attacks and discusses zero-knowledge proofs related to safe primes. Watermarking and fingerprinting techniques are analyzed, highlighting the limits of collusion-resistant watermarks and introducing coin-based anonymous fingerprinting. The performance of hyperelliptic cryptosystems is evaluated, and new public key cryptosystems based on composite degree residuosity classes are proposed. The resistance of block ciphers against iterated attacks is scrutinized, along with S-boxes with controllable nonlinearity. In distributed cryptography, secure distributed key generation and efficient multiparty computations against adaptive adversaries are addressed. The work also presents improved correlation attacks on stream ciphers and examines the necessary conditions for sharing a one-bit secret key. Finally, it discusses secure communication in broadcast channels and efficient com