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New Product-Sum Type Public-Key Cryptosystems with Selectable Encryption Key Based on Chinese Remainder Theorem
Kiyoko KATAYANAGI Yasuyuki MURAKAMI Masao KASAHARA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2002/02/01
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Information Security
public-key cryptosystem, product-sum type cryptosystem, low-density attack, Chinese remainder theorem, selectable encryption key,
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Recently, Kasahara and Murakami proposed new product-sum type public-key cryptosystems with the Chinese remainder theorem, Methods B-II and B-IV. They also proposed a new technique of selectable encryption key, which is referred to as 'Home Page Method (HP Method).' In this paper, first, we describe Methods B-II and B-IV. Second, we propose an effective attack for Method B-II and discuss the security of Methods B-II and B-IV. Third, applying the HP Method to Methods B-II and B-IV, we propose new product-sum type PKC with selectable encryption key. Moreover, we discuss the security of the proposed cryptosystems.