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Computation of a basis of symmetric functions in finite fields

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Literature cited

  1. M. V. Mikhailyuk, “Complexity of computation of elementary symmetric functions in finite fields,” Dokl. Akad. Nauk SSSR,244, No. 5, 1072–1076 (1979).

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  2. B. L. van der Waerden, Algebra [Russian translation], Mir, Moscow (1976).

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  3. S. V. Yablonskii, “Introduction to the theory of functions of k-valued logic,” in: Discrete Mathematics and Mathematical Problems of Cybernetics [in Russian], Fizmatgiz, Moscow (1974), pp. 9–66.

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  4. E. R. Berlekamp, Algebraic Coding Theory, McGraw-Hill, New York (1968).

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  5. O. B. Lupanov, “On a certain approach to the synthesis of control systems — the principle of local coding,” in: Problems of Cybernetics [in Russian], No. 14, Nauka, Moscow (1965), pp. 31–110.

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Authors and Affiliations

  1. All-Union Scientific-Research Institute of Soviet Legislation, USSR

    M. V. Mikhailyuk

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  1. M. V. Mikhailyuk
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Translated from Matematicheskie Zametki, Vol. 30, No. 2, pp. 291–304, August, 1981.

In conclusion, the author expresses deep gratitude to O. B. Lupanov for assistance in the preparation of the present note.

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Mikhailyuk, M.V. Computation of a basis of symmetric functions in finite fields. Mathematical Notes of the Academy of Sciences of the USSR 30, 634–641 (1981). https://doi.org/10.1007/BF01708847

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