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On the k-error Joint Linear Complexity and Error Multisequence over F q (char F q  = p, prime)

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Recent Trends in Computer Networks and Distributed Systems Security (SNDS 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 420))

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Abstract

Finding fast and efficient algorithms for computing the k-error joint linear complexity and error multisequence of multisequences is of great importance in cryptography, mainly for the security analysis of word based stream ciphers. There is no efficient algorithm for finding the error multisequence of a prime power periodic multisequence. In this paper we propose an efficient algorithm for finding the k-error joint linear complexity together with an error multisequence of m fold prime power periodic multisequences over F q ,where char F q = p, a prime.

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References

  1. Ding, C., Xiao, G., Shan, W. (eds.): The Stability Theory of Stream Ciphers. LNCS, vol. 561. Springer, Heidelberg (1991)

    MATH  Google Scholar 

  2. Kaida, T.: On Algorithms for the k-Error Linear Complexity of Sequences over GF(p m ) with Period p n, Ph. D. Thesis, Kyusu Institute of Tech. (1999)

    Google Scholar 

  3. Kaida, T., Uehara, S., Imamaura, K.: An Algorithm for the k-Error Linear Complexity of Sequences over GF(pm) with period pn, p a prime. Information and Computation 151(1-2), 137–147 (1999)

    Article  Google Scholar 

  4. Kaida, T.: On the generalized Lauder Paterson algorithm and profiles of the k-error linear complexity for exponent periodic sequences. In: Helleseth, T., Sarwate, D., Song, H.-Y., Yang, K. (eds.) SETA 2004. LNCS, vol. 3486, pp. 166–178. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Lauder, A.G.B., Paterson, K.G.: Computing the Error Linear Complexity Spectrum of a Binary Sequence of Period 2n. IEEE Transactions on Information Theory 49(1), 273–281 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  6. Meidl, W.: Discrete Fourier Transform, Joint Linear Complexity and Generalised Joint Linear Complexity of Multisequences. In: Helleseth, T., Sarwate, D., Song, H.-Y., Yang, K. (eds.) SETA 2004. LNCS, vol. 3486, pp. 101–112. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  7. Meidl, W., Niederreiter, H., Venkateswarlu, A.: Error linear complexity Measures for Multisequences. Journal of Complexity 23(2), 169–192 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  8. Meidl, W., Niederreiter, H.: The expected value of the joint linear complexity of periodic multisequences. Journal of Complexity 19(1), 61–72 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  9. Niederreiter, H.: Linear Complexity and Related Complexity Measures for Sequences. In: Johansson, T., Maitra, S. (eds.) INDOCRYPT 2003. LNCS, vol. 2904, pp. 1–17. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  10. Sethumadhavan, M., Sindhu, M., Srinivasan, C., Kavitha, C.: An algorithm for k-error joint linear complexity of binary multisequences. Journal of Discrete Mathematical Sciences & Cryptography 11(3), 297–304 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  11. Sethumadhavan, M., Yogha Laxmie, C., Vijaya Govindan, C.: A construction of p-ary balanced sequence with large k-error linear complexity. Journal of Discrete Mathematical Sciences and Cryptography 9(2), 253–261 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  12. Sindhu, M., Sethumadhavan, M.: Linear Complexity Measures of Binary Multisequences. International Journal of Computer Applications 16, 6–10 (2013)

    Google Scholar 

  13. Stamp, M., Martin, C.F.: An Algorithm for the k-Error Linear Complexity of Binary Sequences with Period 2n. IEEE Trans. Inf. Theory 39, 1398–1407 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  14. Venkateswarlu, Studies on error linear complexity measures for multisequences, PhD thesis (2007)

    Google Scholar 

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Sindhu, M., Sethumadhavan, M. (2014). On the k-error Joint Linear Complexity and Error Multisequence over F q (char F q  = p, prime). In: Martínez Pérez, G., Thampi, S.M., Ko, R., Shu, L. (eds) Recent Trends in Computer Networks and Distributed Systems Security. SNDS 2014. Communications in Computer and Information Science, vol 420. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54525-2_45

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  • DOI: https://doi.org/10.1007/978-3-642-54525-2_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-54524-5

  • Online ISBN: 978-3-642-54525-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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