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Comparing Finite Abelian Groups from the Standpoint of Their Cryptographic Applications

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Abstract

This work presents the results of an experimental study of some properties of low-order finite Abelian groups from the standpoint of the applicability of such groups in cryptographic applications.

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References

  1. R. A. Fisher and F. Yates, Statistical Tables for Biological, Agricultural and Medical Research, Oliver & Boyd, London (1948), pp. 26–27.

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  2. M. M. Glukhov, “On 2-transitive products of regular permutation groups,” Tr. Diskr. Mat., 3, 37–52 (2000).

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  3. D. E. Knuth, The Art of Computer Programming, Vol. 2: Seminumerical Algorithms, Addison-Wesley, Reading, MA (1969), pp. 124–125.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    A. V. Galatenko, A. A. Nechaev & A. E. Pankrat’ev

Authors
  1. A. V. Galatenko
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  2. A. A. Nechaev
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  3. A. E. Pankrat’ev
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Corresponding author

Correspondence to A. V. Galatenko.

Additional information

Deceased (A. A. Nechaev).

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 20, No. 1, pp. 9–16, 2015.

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Galatenko, A.V., Nechaev, A.A. & Pankrat’ev, A.E. Comparing Finite Abelian Groups from the Standpoint of Their Cryptographic Applications. J Math Sci 223, 498–503 (2017). https://doi.org/10.1007/s10958-017-3362-z

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  • DOI: https://doi.org/10.1007/s10958-017-3362-z

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