Method to Improve Channel Coding Using Cryptography

Authors: Ayyaz Mahmood

Abstract:

A new approach for the improvement of coding gain in channel coding using Advanced Encryption Standard (AES) and Maximum A Posteriori (MAP) algorithm is proposed. This new approach uses the avalanche effect of block cipher algorithm AES and soft output values of MAP decoding algorithm. The performance of proposed approach is evaluated in the presence of Additive White Gaussian Noise (AWGN). For the verification of proposed approach, computer simulation results are included.

Keywords: Advanced Encryption Standard (AES), Avalanche Effect, Maximum A Posteriori (MAP), Soft Input Decryption (SID).

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057115

References:

[1] S. Lin and D. J. Costello, Jr., Error Control Coding. New Jersey: Prentice-Hall, 2004.
[2] Fernandez-Gomez. S, Rodriquez-Andina. J. J, Mandado. E, "Concurrent error detection in block ciphers," in Proc. IEEE Int. Test Conf, Atlantic City, NJ, pp. 979-984, 2000.
[3] L. R. Bahl, J. Cocke, F. Jelinek, and J. Raviv, "Optimal decoding of linear codes for minimizing symbol error rate," IEEE Trans. Inf. Theory, vol. 20, pp. 284-287, Mar. 1974.
[4] C. Berrou, A. Glavieux, and P. Thitimajshima, "Near Shannon limit error-correcting coding and decoding: Turbo-codes," in Proc. IEEE ICC-93, Geneva, Switzerland, vol. 2, pp.1064-1070, May 1993.
[5] J. Hagenauer and P. Hoeher, "A Viterbi algorithm with soft-decision outputs and its applications," in Conf. Rec. GLOBECOM 89, Dallas, TX, vol. 3, Nov.1989, pp. 47.1.1- 47.1.7.
[6] N. Zivic, C. Ruland, "Soft input decryption," 4th Turbocode Conference, 6th Source and Channel Coding Conference, VDE/IEEE, Munich, April , 2006.
[7] N. Zivic, C. Ruland, "Feedback in joint channel coding and cryptography," 7th Source and Channel Coding Conference, VDE/IEEE, Ulm, Jan, 2008.
[8] M. R. Soleymani, Y. Gao and U. Vilaipornsawai, Turbo Coding for Satellite and Wireless Commuications. Boston: Kluwer Academic Publishers, 2002.
[9] S. Riedel, "MAP decoding of convolutional codes using reciprocal dual codes," IEEE Trans. Inf. Theory, vol. 44, pp. 1176-1187, May 1998.
[10] T. K. Moon, Error correcting coding. New Jersey: Wiley, 2005.
[11] National Institute of Standards and Technology, "Advanced Encryption Standard (AES)," Federal Information Processing Standard FIPS PUB 197, November 26, 2001.
[12] FIPS 46, "Data Encryption Standard," Federal Information Processing Standard (FIPS), Publication 46, National Bureau of Standards, U.S. Department of Commerce, Washington D.C.
[13] FIPS 81, "Operational Modes of DES," Federal Information Processing Standard (FIPS), Publication 81, National Bureau of Standards, U.S. Department of Commerce, Washington D.C.