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Message Authentication Codes with Error Correcting Capabilities

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Book cover Information and Communications Security (ICICS 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2513))

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Abstract

In this paper, we propose classes of Message Authentication Codes (MAC) based on error correcting-codes. We introduce a new notion of error tolerant forgery of hash messages. These MACs allow full error recovery for all applications, while being error-tolerant for less information-sensitive applications. The classes of the keyed hash functions are highly secure, and provide the capabilities of correcting errors on transmission, including burst-errors, which is a typical phenomenon in wireless communications. These classes of hash functions are easily implementable in hardware by means of simple linear feedback shift register structures.

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References

  1. E.R. Berlekamp, Algebraic coding theory, McGraw-Hill, New York, 1968.

    MATH  Google Scholar 

  2. R.E. Blahut, Theory and Practice of Error Control Codes, Addison-Wesley Publishing Co., May 1984.

    Google Scholar 

  3. A. Chang, P. Gaal, S.W. Golomb, G. Gong, T. Helleseth, P.V. Kumar, On a Conjectured Ideal Autocorrelation Sequence and a Related Triple-Error Correcting Cyclic Code, IEEE Trans. Information Theory, Vol. 46, No. 2, March 2000.

    Google Scholar 

  4. S.W. Golomb, Shift Register Sequences, Holden-Day, Inc., 1967. Revised edition, Aegean Park Press, 1982.

    Google Scholar 

  5. IEEE P1363, Standard Specifications For Public Key Cryptography, 2000.

    Google Scholar 

  6. J.H. Jeng and T.K. Truong, on Decoding of Both Errors and Erasures of a Reed-Solomon Code Using an Inverse-Free Berlekamp-Massey Algorithm, IEEE Transactions on Communications, Vol. 47, No. 10, October 1999, 1488–1494.

    Article  MATH  Google Scholar 

  7. H. Krawczyk, LFSR-based Hashing and Authentication, Advances in Cryptology-Crypto’ 94, Lecture Notes in Computer Science, LNCS 839(1994), Springer-Verlag, 129–139.

    Google Scholar 

  8. F.J. MacWilliams, N.J.A. Sloane, The Theory of Error-Correcting Codes, North-Holland Publishing Company, 1977.

    Google Scholar 

  9. A.J. Menezes, P.C. van Oorschot, S.A. Vanstone, Handbook of Applied Cryptography, CRC Press, 1997.

    Google Scholar 

  10. S.A. Vanstone, P.C. van Oorschot, An Introduction to Error Correcting Codes with Applications, Kluwer Academic Publishers, 1989.

    Google Scholar 

  11. E. Bach, J. Shallit, Algorithmic Number Theory, MIT Press, Cambridge, Massachusetts, 1996.

    MATH  Google Scholar 

  12. T.K. Truong, J.H. Jeng, I.S. Reed, Fast Algorithm for Computing the Roots of Error Locator Polynomials up to Degree 11 in Reed-Solomon Decoders, IEEE Transactions on Communications, Vol. 49, No. 5, May 2001, 779–783.

    Article  MATH  Google Scholar 

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© 2002 Springer-Verlag Berlin Heidelberg

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Lam, C.C.Y., Gong, G., Vanstone, S.A. (2002). Message Authentication Codes with Error Correcting Capabilities. In: Deng, R., Bao, F., Zhou, J., Qing, S. (eds) Information and Communications Security. ICICS 2002. Lecture Notes in Computer Science, vol 2513. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36159-6_30

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  • DOI: https://doi.org/10.1007/3-540-36159-6_30

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00164-5

  • Online ISBN: 978-3-540-36159-6

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