Skip to main content
Log in

New Codes with Finite Length for a Wiretap Channel

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

In this paper, an equivocation scheme with finite code length is proposed for a wiretap channel. The proposed coding scheme is composed of two constituent codes, an outer code and an inner code, which are used efficiently for various channel conditions. A Hamming code and its cosets are used for an outer code and bit-extension mapping is adopted for an inner code. The average equivocation is discussed for small messages and the probability of causing imperfect secrecy is defined to investigate the performance of outer and inner codes. The results show that usage of inner codes increases the equivocation capability of wiretap channels.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

References

  1. Wyner, A. D. (1975). The wire-tap channel. The Bell System Technical Journal, 54, 1355–1387.

    Article  MATH  MathSciNet  Google Scholar 

  2. Ozarow, L. H., & Wyner, A. D. (1984). Wire-tap channel II. The Bell System Technical Journal, 63(10), 2135–2157.

    MATH  Google Scholar 

  3. Wei, V. K. (1991). Generalized Hamming weights for linear codes. IEEE Transactions on Information Theory, 37(5), 1412–1418.

    Article  MATH  Google Scholar 

  4. Thangaraj, A., Dihidar, S., Calderbank, A. R., McLaughlin, S., & Merolla, J.-M. (2007). Application of LDPC codes to the wiretap channel. IEEE Transaction on Information Theory, 53(8), 2933–2945.

    Article  MathSciNet  Google Scholar 

  5. MacWilliams, F. J., & Sloane, N. J. A. (1977). The theory of error-correcting codes. Amsterdam, The Netherlands: North-Holland.

    MATH  Google Scholar 

Download references

Acknowledgments

This work was supported by 2013 Special Research Fund of Electrical Engineering at University of Ulsan.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sunghwan Kim.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kim, S. New Codes with Finite Length for a Wiretap Channel. Wireless Pers Commun 75, 601–608 (2014). https://doi.org/10.1007/s11277-013-1380-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-013-1380-9

Keywords

Navigation