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In this paper, we consider some distributions of maxima of excursions and related variables for standard random walk and Brownian motion. We discuss the infinite divisibility properties of these di...
阿德•申克在1968年法国格勒诺布尔冬季奥运会上获得1500米速滑银牌,随后几年,申克的成绩提高得很快,到1972年日本札幌冬季奥运会时,他已经是1500米 、5000米和10000米三个速滑项目的世界纪录保持者。1972年日本札幌冬季奥运会上,在一个暴风雪的天气中,申克以4.57秒的优势获得5000米速滑金牌,随后500米速滑中他名列第34,但他接下来包揽了两外两个速滑项目的金牌:1...
Many cryptographic applications of hash functions are analyzed in the random oracle model. Unfortunately, most concrete hash functions, including the SHA family, use the iterative (strengthened) Merk...
In this paper, we succeed in analyzing practical cryptosystems that employ the Davies- Meyer Merkle-Damg˚ard hash function DM-MDE with ideal cipher E by using two approaches: indifferentiability...
In this paper, we show that major cryptosystems such as FDH, OAEP, and RSA-KEM are secure under a hash function MDh with Merkle-Damg˚ard (MD) construction that uses a random oracle compression ...
In this paper, we discuss the security of the ElGamal encryption scheme and its variant by Damg°ard. For the ElGamal encryption, we show that (1) under the generalized knowledge-of-exponent assumpti...
We study the problem of securely extending the domain of a collision resistant compression function. A new construction based on directed acyclic graphs is described. This generalizes the usual itera...
We provide a new security proof for a variant of ElGamal proposed by Damg°ard, showing that it is secure against non-adaptive chosen ciphertext. Unlike previous security proofs for this cryptosystem...
The paper discusses the security of compression function and hash function with Merkle-Damgºard construction and provides the com- plexity bound of ¯nding a collision and primage of hash f...

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