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Journal Article A More Compact Representation of XTR Cryptosystem
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Authors
Masaaki Shirase, Han Dong Guk, Yasushi Hibino, Kim Ho Won, Tsuyoshi Takagi
Issue Date
200810
Source
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, v.E91-A no.10, pp.2843-2850
ISSN
1745-1337
Publisher
일본, 전자정보통신학회 (IEICE)
DOI
https://dx.doi.org/10.1093/ietfec/e91-a.10.2843
Project Code
08MS2200, Development of security technology for secure RFID/USN service, Chung Kyo Il
Abstract
XTR is one of the most efficient public-key cryptosy stems that allow us to compress the communication bandwidth of their ciphertext. The compact representation can be achieved by deploying a subgroup Fq2 of extension field F 6, so that the compression ratio of XTR cryptosystem is 1/3. On the other hand, Dijk et al. proposed an efficient public-key cryptosystem using a torus over Fq30 whose compression ratio is 4/15. It is an open problem to construct an efficient public-key cryptosystem whose compression ratio is smaller than 4/15. In this paper we propose a new variant of XTR cryptosystem over finite fields with characteristic three whose compression ratio is 1/6. The key observation is that there exists a trace map from Fq6 to Fq in the case of characteristic three. Moreover, the cost of compression and decompression algorithm requires only about 1% overhead compared with the original XTR cryptosystem. Therefore, the proposed variant of XTR cryptosystem is one of the fastest public-key cryptosystems with the smallest compression ratio. Copyright © 2008 The Institute of Electronics, Information and Communication Engineers.
KSP Keywords
Compact Representation, Decompression algorithm, Extension field, Finite fields, Information and communication, Open Problem, Public-key Cryptosystems, compression ratio