NDLI: On MMSE properties of optimal codes for the Gaussian wiretap channel

Content Provider	IEEE Xplore Digital Library
Author	Bustin, R. Schaefer, R.F. Poor, H.V. Shamai, S.
Copyright Year	2015
Description	Author affiliation: Dept. of Electr. Eng., Technion - Israel Inst. of Technol., Haifa, Israel (Shamai, S.) \|\| Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA (Bustin, R.; Schaefer, R.F.; Poor, H.V.)
Abstract	This work examines the properties of “good” codes for the scalar Gaussian wiretap channel that achieve the maximum level of equivocation. Specifically, the minimum mean-square error (MMSE) behavior of these codes is explored as a function of the signal-to-noise ratio (SNR). It is first shown that reliable decoding of the codeword at the legitimate receiver and at the eavesdropper, conditioned on the transmitted message, is a necessary and sufficient condition for an optimally secure code sequence. Moreover, it is observed that a stochastic encoder is required for any code sequence with rate below the channel point-to-point capacity. Then, for code sequences attaining the maximum level of equivocation, it is shown that their codebook sequences must resemble “good” point-to-point, capacity achieving, code sequences. Finally, it is shown that the mapping over such “good” codebook sequences that produces a maximum equivocation code must saturate the eavesdropper. These results support several “rules of thumb” in the design of capacity achieving codes for the Gaussian wiretap.
Starting Page	1
Ending Page	5
File Size	250687
Page Count	5
File Format	PDF
ISBN	9781479955244
e-ISBN	9781479955268
DOI	10.1109/ITW.2015.7133139
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-04-26
Publisher Place	Israel
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Electrical engineering Gaussian noise Receivers Decoding Reliability Mutual information
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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