Title
On Secure Exact-Repair Regenerating Codes With a Single Pareto Optimal Point
Abstract
The problem of exact-repair regenerating codes against eavesdropping attack is studied. The eavesdropping model we consider is that the eavesdropper has the capability to observe the data involved in the repair of a subset of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\ell $ </tex-math></inline-formula> nodes. An <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$(n,k,d,\ell )$ </tex-math></inline-formula> secure exact-repair regenerating code is an <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$(n,k,d)$ </tex-math></inline-formula> exact-repair regenerating code that is secure under this eavesdropping model. It has been shown that for some parameters <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$(n,k,d,\ell )$ </tex-math></inline-formula> , the associated optimal storage-bandwidth tradeoff curve, which has one corner point, can be determined. The focus of this paper is on characterizing such parameters. We establish a lower bound <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\hat {\ell }$ </tex-math></inline-formula> on the number of wiretap nodes, and show that this bound is tight for the case <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$k = d = n-1$ </tex-math></inline-formula> .
Year
DOI
Venue
2018
10.1109/TIT.2019.2942315
IEEE Transactions on Information Theory
Keywords
DocType
Volume
Maintenance engineering,Secure storage,Encoding,Decoding,Security,Bandwidth,Eavesdropping
Journal
66
Issue
ISSN
Citations 
1
0018-9448
2
PageRank 
References 
Authors
0.37
0
4
Name
Order
Citations
PageRank
Fangwei Ye161.10
Shiqiu Liu2143.28
Kenneth W. Shum354456.37
Raymond W. Yeung481.80