Research Article

Correspondence between steganographic protocols and error correcting codes

Volume: 4 Number: 2 (Special Issue: Noncommutative rings and their applications) January 10, 2017
EN

Correspondence between steganographic protocols and error correcting codes

Abstract

In this work we present a correspondence between the steganographic systems and error correcting codes. We propose a new steganographic protocol based on 3-error-correcting primitive BCH codes. We show that this new protocol has much better parameters than protocols which we get from Hamming codes or from the 2-error-correcting primitive BCH codes, for high levels of incorporation.

Keywords

References

  1. [1] E. Assmus, H. Mattson, Some 3–error–correcting BCH codes have covering radius 5, IEEE Trans. Inform. Theory 22(3) (1976) 348–349.
  2. [2] R. Crandall, Some notes on steganography, available at http://dde.binghamton.edu/download/ Crandall_matrix.pdf, 1998.
  3. [3] J. Fridrich, D. Soukal, Matrix embedding for large payloads, IEEE Trans. Inf. Forensics Security 1(3) (2006) 390–395.
  4. [4] T. Helleseth, All binary 3–error–correcting BCH codes of length $2^m-1$ have covering radius 5, IEEE Trans. Inform. Theory 24(2) (1978) 257–258.
  5. [5] J. van der Horst, T. Berger, Complete decoding of triple–error–correcting binary BCH Codes, IEEE Trans. Inform. Theory 22(2) (1976) 138–147.
  6. [6] F. J. Mac Williams, N. Sloane, The Theory of Error Correcting Codes, Amsterdam, Netherlands, North–Holland, 1966.
  7. [7] C. Munuera, Steganography and error–correcting codes, Signal Process. 87(6) (2007) 1528–1533.
  8. [8] A. Westfeld, F5—A Steganographic Algorithm, Lecture Notes in Comput. Sci. 2137 (2001) 289–302.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

M’hammed Boulagouaz This is me

Publication Date

January 10, 2017

Submission Date

January 9, 2017

Acceptance Date

-

Published in Issue

Year 2017 Volume: 4 Number: 2 (Special Issue: Noncommutative rings and their applications)

APA
Boulagouaz, M., & Bouye, M. (2017). Correspondence between steganographic protocols and error correcting codes. Journal of Algebra Combinatorics Discrete Structures and Applications, 4(2 (Special Issue: Noncommutative rings and their applications), 197-206. https://doi.org/10.13069/jacodesmath.284966
AMA
1.Boulagouaz M, Bouye M. Correspondence between steganographic protocols and error correcting codes. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4(2 (Special Issue: Noncommutative rings and their applications):197-206. doi:10.13069/jacodesmath.284966
Chicago
Boulagouaz, M’hammed, and Mohamed Bouye. 2017. “Correspondence Between Steganographic Protocols and Error Correcting Codes”. Journal of Algebra Combinatorics Discrete Structures and Applications 4 (2 (Special Issue: Noncommutative rings and their applications): 197-206. https://doi.org/10.13069/jacodesmath.284966.
EndNote
Boulagouaz M, Bouye M (May 1, 2017) Correspondence between steganographic protocols and error correcting codes. Journal of Algebra Combinatorics Discrete Structures and Applications 4 2 (Special Issue: Noncommutative rings and their applications) 197–206.
IEEE
[1]M. Boulagouaz and M. Bouye, “Correspondence between steganographic protocols and error correcting codes”, Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 4, no. 2 (Special Issue: Noncommutative rings and their applications), pp. 197–206, May 2017, doi: 10.13069/jacodesmath.284966.
ISNAD
Boulagouaz, M’hammed - Bouye, Mohamed. “Correspondence Between Steganographic Protocols and Error Correcting Codes”. Journal of Algebra Combinatorics Discrete Structures and Applications 4/2 (Special Issue: Noncommutative rings and their applications) (May 1, 2017): 197-206. https://doi.org/10.13069/jacodesmath.284966.
JAMA
1.Boulagouaz M, Bouye M. Correspondence between steganographic protocols and error correcting codes. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017;4:197–206.
MLA
Boulagouaz, M’hammed, and Mohamed Bouye. “Correspondence Between Steganographic Protocols and Error Correcting Codes”. Journal of Algebra Combinatorics Discrete Structures and Applications, vol. 4, no. 2 (Special Issue: Noncommutative rings and their applications), May 2017, pp. 197-06, doi:10.13069/jacodesmath.284966.
Vancouver
1.M’hammed Boulagouaz, Mohamed Bouye. Correspondence between steganographic protocols and error correcting codes. Journal of Algebra Combinatorics Discrete Structures and Applications. 2017 May 1;4(2 (Special Issue: Noncommutative rings and their applications):197-206. doi:10.13069/jacodesmath.284966

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