THE CRYPTOSYSTEM CONSTRUCTION ON THE POLYGONAL CODES BASIS

Authors

  • В. Г. Ткаченко Odessa National Academy of Telecommunications named after O.S. Popov, str. Kovalska 1, 65029, Odessa, Ukraine
  • О. В. Сінявський Military Academy, str. Fontansky road, 10, 65009, Odessa,

DOI:

https://doi.org/10.15673/0453-8307.3/2014.32583

Keywords:

Correcting Codes - Nonlinear polygonal codes – Сryptosystem – Steiner system – Affine plane – Projective plane.

Abstract

The polygonal block nonlinear codes are defined in the article. The methods of certain polygonal codes constructing is considered and effective universal recursive method of codes of great length constructing on the basis of Steiner systems for cryptosystems with error correction is proposed. Cryptosystem with correction code based on this code is developed. The advantages of this cryptosystem are speed encryption and decryption, as well as the ability to change the code quickly without encryption and decryption tables changing.

References

REFERENCES

McWilliams F.D. Teoriya kodov, ispravlyaushih oshibki / F.D. McWilliams, N.А. Sloan – М.: Svyaz’, 1979. – 744 s.

Blahut R. Teoriya i praktika kodov, kontrolirushih oshibki / R.Blahut – М.: Mir, 1986. – 576 s.

Berlekamp E. Algebraicheskaya teoriya kodirovaniya / E. Berlekamp – М.: Мir, 1971. – 480 s.

David J.C. Information Theory, Inference, and Learning Algorithms / J.C. David, MacKay. − Cambridge University Press. − 2003.

Tkachenco V.G. Perechislenie tipov monotonnih bulevih funkciy pri sinteze cifrovih shem / V.G. Tkachenco // Naukovi praci ONAZ iv. O.C.Popova. – Odesa, 2008. – №2. – S. 54 – 69.

Tkachenco V.G. Postroenie korrektirushego koda dlya kriptosistem na osnove tipov monotonnih bulevih funkciy / V.G. Tkachenco, O.V. Sinyavsky // Naukovi praci ONAZ iv. O.C.Popova. – Odesa, 2010. – № 1. – S. 85 – 92.

Tkachenco V.G. Postroenie kriptosistemi na osnove treugolnih kodov / V.G. Tkachenco, O.V. Sinyavsky // Naukovi praci ONAZ iv. O.C.Popova. – Odesa, 2012. – № 1. – S. 72 – 82.

Tkachenco V.G. Construction of cryptosystem оn the basis quadrangular codes / Tkachenco V.G., Sinyavsky O.V. // Nauka i Studia. Przemyśl. – 2013. – t. 35 (103). – S. 18-28

Holl M. Kombinatorika / М. Holl – М.: Мir, 1970. – 424 s.

Kameron P. Teoriya grafov, teoriya kogirovaniya I blok-shemi / P. Kameron, J. van Lint – М.: Nauka, 1980. – 144 s.

Kartesi F. Vvedenie v konechnie geometrii / F. Kartesi – М.: Nauka, 1980. – 320 s.

Issue

Section

Automatic, computer and telecommunication technologies