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A Construction of Public Key Cryptosystem for Realizing Ciphertext of Size 100 Bit and Digital Signature Scheme Masao KASAHARA Ryuichi SAKAI Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences Vol.E87-A No.1 pp.102-109 Publication Date: 2004/01/01 Online ISSN: DOI: Print ISSN: 0916-8508 Type of Manuscript: Special Section PAPER (Special Section on Cryptography and Information Security) Category: Asymmetric Cipher Keyword: public key cryptosystem, simultaneous equations, multivariate polynomial, digital signature, Full Text: PDF(298.1KB)>>
Summary: Extensive studies have been made of the public key cryptosystems based on multivariate polynomials. However most of the proposed public key cryptosystems of rate 1.0 based on multivariate polynomials, are proved not secure. In this paper, we propose several types of new constructions of public key cryptosystems based on two classes of randomly generated simultaneous equations, namely, a class based on bijective transformation and another class based on random transformation. One of the features of the proposed cryptosystems is that the sets of random simultaneous equations significantly improve the utilization factor of the transformation. We show an example of the proposed cryptosystem whose size of the ciphertext is only 100 bits. | ||||||||||
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