View : 11 Download: 0

Duplication free public keys based on SIS-type problems

Title
Duplication free public keys based on SIS-type problems
Authors
Lee H.-S.Lee J.Lim S.
Ewha Authors
이향숙임선간이주희
SCOPUS Author ID
이향숙scopus; 임선간scopusscopus; 이주희scopus
Issue Date
2017
Journal Title
Finite Fields and their Applications
ISSN
1071-5797JCR Link
Citation
vol. 48, pp. 430 - 446
Keywords
LatticesPublic key authenticationSIS problem
Publisher
Academic Press Inc.
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
In the public key cryptography, we say that two public keys are duplicated if they share a private key in common. We point out that no duplicate public keys exist in the RSA public key scheme since there is a one-to-one correspondence between the set of problems and the set of solutions for integer factorization problem. Contrary to the integer factorization problem, there is no such one-to-one correspondence with Short Integer Solution (SIS)-type problems and this necessitates to study its effect on duplicate public keys of the schemes based on SIS. In this paper, we analyze the existence of duplicate public keys with four types of SIS problem: SIS, SIS with full rank solution set, basic Inhomogeneous SIS (ISIS), ISIS with the defining matrix A as a public parameter. As a result, we show that there is no provable way to exclude duplicate public keys of the schemes based on the basic SIS, basic ISIS, and SIS with a full rank solution set. However, we show that if A is given in the systematic form and the given set of solutions forms a matrix of rank (m−n) over Zq, then it guarantees duplication free public keys. We also prove that the schemes based on ISIS with the matrix A as a public parameter always guarantee duplication free public keys. © 2017 Elsevier Inc.
DOI
10.1016/j.ffa.2017.09.001
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
Files in This Item:
There are no files associated with this item.


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE