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Rapid parallel calculation of degrees in a quotient ring of polynomials over a finite field

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Literature cited

  1. A. O. Slisenko, “Complexity problems of computational theory,” Usp. Mat. Nauk,36, No. 6, 21–103 (1981).

    Google Scholar 

  2. V. N. Faddeeva and D. K. Faddeev, “Parallel calculations in linear algebra,” Kibernetika,13, No. 6, 28–40 (1977).

    Google Scholar 

  3. V. N. Faddeeva and D. K. Faddeev, “Parallel calculations in linear algebra. II,” Kinernetika,18, No. 3, 18–31 (1982).

    Google Scholar 

  4. V. I. Solodovnikov, “Upper bounds of complexity of the solution of systems of linear equations,” in: The Theory of Complexity of Computations. I, J. Sov. Math.,29, No. 4 (1985).

  5. D. Knuth, The Art of Computer Programming, Vol. 2, Addison-Wesley, Reading, Massachusetts-London (1969).

    Google Scholar 

  6. A. Aho, J. E. Hopcraft, and J. D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, Reading, Massachusetts-London (1975).

    Google Scholar 

  7. D. E. Heller, “A survey of parallel algorithms in numerical linear algebra,” SIAM Rev.,20, No. 4, 740–777 (1978).

    Google Scholar 

  8. D. Coppersmith and S. Winograd, “On the asymptotic complexity of matrix multiplication,” SIAM J. Comput.,11, No. 3, 472–492 (1982).

    Google Scholar 

  9. V. Pan, How to Multiply Matrices Faster, Lecture Notes in Computer Science, 179, Springer-Verlag, Berlin-New York (1984).

    Google Scholar 

  10. S. J. Berkowitz, “On computing the determinant in small parallel time using a small number of processors,” Inform Process. Lett.,18, No. 3, 147–150 (1984).

    Google Scholar 

  11. J. Reif, “Logarithmic depth circuits for algebraic functions,” 24th Annu. Symp. Found. Comput. Sci., Tuscon, Arizona, November 7–9, 1983. Silver Spring, Maryland (1983), pp. 138–145.

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 42, No. 6, pp. 886–894, December, 1987.

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Golovanov, P.N., Solodovnikov, V.I. Rapid parallel calculation of degrees in a quotient ring of polynomials over a finite field. Mathematical Notes of the Academy of Sciences of the USSR 42, 987–992 (1987). https://doi.org/10.1007/BF01137457

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  • DOI: https://doi.org/10.1007/BF01137457

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