A New Product-Sum Public-Key Cryptosystem Using Message Extension

Kiyoko KATAYANAGI  Yasuyuki MURAKAMI  Masao KASAHARA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E84-A   No.10   pp.2482-2487
Publication Date: 2001/10/01
Online ISSN: 
DOI: 
Print ISSN: 0916-8508
Type of Manuscript: Special Section PAPER (Special Section on Information Theory and Its Applications)
Category: Information Security
Keyword: 
product-sum public-key cryptosystem,  Chinese remainder theorem,  low-density attack,  high density,  message extension,  

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Summary: 
Recently, Kasahara and Murakami proposed new product-sum public-key cryptosystems using the Chinese remainder theorem as the trapdoor. We proposed 'Yaezakura' as the high-density product-sum PKC applying the method using the reduced bases. In this paper, we propose another high-density scheme with the Chinese remainder theorem trapdoor using the message extension. We also show that the proposed scheme is invulnerable to the low-density attack. In the proposed scheme, the sender can freely select the positions of the dummy messages.