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Formalization of the Data Encryption Standard Cover

Formalization of the Data Encryption Standard

Formalized Mathematics
Volume 20 (2012): Issue 2 (June 2012)
By:  and    
Open Access
|Feb 2013
References

References

  1. [1] Grzegorz Bancerek. Cardinal numbers., 1():377-382, 1990.
    Search in Google Scholar
  2. [2] Grzegorz Bancerek. The fundamental properties of natural numbers., 1():41-46, 1990.
    Search in Google Scholar
  3. [3] Grzegorz Bancerek. The ordinal numbers., 1():91-96, 1990.
    Search in Google Scholar
  4. [4] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1():107-114, 1990.
    Search in Google Scholar
  5. [5] Czesław Bylinski. Binary operations., 1():175-180, 1990.
    Search in Google Scholar
  6. [6] Czesław Bylinski. Finite sequences and tuples of elements of a non-empty sets., 1():529-536, 1990.
    Search in Google Scholar
  7. [7] Czesław Bylinski. Functions and their basic properties., 1():55-65, 1990.
    Search in Google Scholar
  8. [8] Czesław Bylinski. Functions from a set to a set., 1():153-164, 1990.
    Search in Google Scholar
  9. [9] Czesław Bylinski. Partial functions., 1():357-367, 1990.
    Search in Google Scholar
  10. [10] Czesław Bylinski. Some basic properties of sets., 1():47-53, 1990.
    Search in Google Scholar
  11. [11] Czesław Bylinski. Some properties of restrictions of finite sequences., 5():241-245, 1996.
    Search in Google Scholar
  12. [12] Shunichi Kobayashi and Kui Jia. A theory of Boolean valued functions and partitions., 7():249-254, 1998.
    Search in Google Scholar
  13. [13] Jarosław Kotowicz. Functions and finite sequences of real numbers., 3():275-278, 1992.
    Search in Google Scholar
  14. [14] Takaya Nishiyama and Yasuho Mizuhara. Binary arithmetics., 4():83-86, 1993.
    Search in Google Scholar
  15. [15] U.S. Department of Commerce/National Institute of Standards and Technology. Fips pub 46-3, data encryption standard (DES). http://csrc.nist.gov/publications/fips/-fips46-3/fips46-3.pdf., 1999.
    Search in Google Scholar
  16. [16] Andrzej Trybulec. Domains and their Cartesian products., 1():115-122, 1990.
    Search in Google Scholar
  17. [17] Michał J. Trybulec. Integers., 1():501-505, 1990.
    Search in Google Scholar
  18. [18] Wojciech A. Trybulec. Pigeon hole principle., 1():575-579, 1990.
    Search in Google Scholar
  19. [19] Zinaida Trybulec. Properties of subsets., 1():67-71, 1990.
    Search in Google Scholar
  20. [20] Edmund Woronowicz. Many argument relations., 1():733-737, 1990.
    Search in Google Scholar
  21. [21] Edmund Woronowicz. Relations and their basic properties., 1():73-83, 1990.
    Search in Google Scholar
  22. [22] Edmund Woronowicz. Relations defined on sets., 1():181-186, 1990.
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10037-012-0016-y | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
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Language: English
Page range: 125 - 146
Published on: Feb 2, 2013
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Related subjects:
Computer sciences,
Artificial intelligence,
Computer sciences, other,
Mathematics,
Logic and set theory,
General mathematics

© 2013 Hiroyuki Okazaki, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 20 (2012): Issue 2 (June 2012)
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