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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Son Hoang Dau Skachek, V. Yeow Meng Chee |
| Copyright Year | 2011 |
| Description | Author affiliation: Division of Mathematical Sciences, School of Phys. and Math. Sciences, Nanyang Technological University, 21 Nanyang Link, Singapore 637371 (Son Hoang Dau; Yeow Meng Chee) || Coordinated Science Laboratory, University of Illinois, Urbana-Champaign, 1308 W. Main Street, 61801, USA (Skachek, V.) |
| Abstract | Security aspects of the Index Coding with Side Information (ICSI) problem are investigated. Building on the results of Bar-Yossef et al. (2006), the properties of linear index codes are further explored. The notion of weak security, considered by Bhattad and Narayanan (2005) in the context of network coding, is generalized to block security. It is shown that the linear index code based on a matrix L, whose column space code C(L) has length n, minimum distance d and dual distance $d^{⊥},$ is (d−1−t)-block secure (and hence also weakly secure) if the adversary knows in advance t ≤ d − 2 messages, and is completely insecure if the adversary knows in advance more than $n−d^{⊥}$ messages. Strong security is examined under the conditions that the adversary: (i) possesses t messages in advance; (ii) eavesdrops at most μ transmissions; (iii) corrupts at most δ transmissions. We prove that for sufficiently large q, an optimal linear index code, which is strongly secure against such an adversary, has length кq+μ+2δ. Here кq is a generalization of the min-rank over Fq of the side information graph for the ICSI problem in its original formulation in the work of Bar-Yossef et al. |
| Starting Page | 983 |
| Ending Page | 987 |
| File Size | 467919 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781457705960 |
| ISSN | 21578117 |
| e-ISBN | 9781457705953 |
| e-ISBN | 9781457705946 |
| DOI | 10.1109/ISIT.2011.6034286 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-07-31 |
| Publisher Place | Russia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Encoding Indexes Integrated circuits Security Receivers Network coding Educational institutions |
| Content Type | Text |
| Resource Type | Article |
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