Title
Security of a Class of Knapsack Public-Key Cryptosystems against Low-Density Attack
Abstract
In 2003, Kobayashi et al. proposed a new class of knapsack public-key cryptosystems over Gaussian integer ring. This scheme using two-sequences as the public key. In 2005, Sakamoto and Hayashi proposed an improved version of Kobayashi's scheme. In this paper, we propose the knapsack PKC using l-sequences as the public key and present the low-density attack on it. We have described Schemes R and G for l = 2, in which the public keys are constructed over rational integer ring and over Gaussian integer ring, respectively. We discusses on the difference of the security against the low-density attack. We show that the security levels of Schemes R and G differ only slightly.
Year
DOI
Venue
2008
10.1093/ietfec/e91-a.10.2889
IEICE Transactions
Keywords
Field
DocType
schemes r,security level,low-density attack,rational integer ring,knapsack public-key cryptosystems,knapsack pkc,new class,public key,improved version,gaussian integer ring,gaussian integers
Discrete mathematics,Gaussian integer,Public key cryptosystem,Ring of integers,Theoretical computer science,Cryptosystem,Knapsack problem,Public-key cryptography,Mathematics,Low density
Journal
Volume
Issue
ISSN
E91-A
10
0916-8508
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Takeshi Nasako121.41
Yasuyuki Murakami245.17
Masao Kasahara3290147.60