Articles

Vladislav Kovtun, Andrew Okhrimenko "Techniques for performance improvement of prime modulo reduction". - 2014. In Russian

 

Vladislav Kovtun, Andrew Okhrimenko "Integer Multiplication with public-key cryptosystems". -2013. In Russian

 

Kovtun V.Y., "Co-Z Divisor Addition Formulae in Jacobian of Genus 2 Hyperelliptic Curves over Prime Fields" // Information security. Scientific and technical magazine. -2010. -Vol.3(48). -pp. 81–87. In Russian

 

Kuznetsov A.A., Kovtun V.Y., "Use of the Complex Discrete Signals for Steganographic Information Security". //  Statistical Methods of Signal and Data Processing (SMSDP-2010): Proceedings. Kiev, Ukraine, October 13-14, 2010 / General Chairman I.Prokopemko. _kiev& National Aviation University "NAU-Druk" Publishing House, 2010. –pp. 143-146.

 

 

Izbenko Y.A., Kovtun V.Y., Kuznetsov A.A. "The design of boolean functions by modified hill climbing method". //  Information technology – New Generation, 2009. ITNG’2009. Sixth International conference. –pp. 356-361.

 

 

Kuznetsov A.A., Kovtun V.Y., Sergienko R.V. "Aspects realization ADE cryptoalgorithm". // Sbornik nauchnih trudov KhU VS.  Kharkov: KhU VS.  2008.  Vol. 1 (16). –pp. 68-74. In Russian.

 

Kovtun V.Y., Wollinger T. "Fast explicit formulae for genus 2 hyperelliptic curves using projective coordinates". //  Information technology – New Generation, 2007. ITNG’2007. Fourth International conference. –pp. 893-897.

 

Kovtun V.Y., Pelzl J. "Fast arithmetic in jacobian of hyperelliptic curves of genus 2 over GF(p)". //  The Sixth International Workshop for Applied PKC Perth, Western Australia 3rd - 4th December, 2007 at the Mount Lawley Campus of Edith Cowan University. –pp. 00-00.

 

Kovtun V.Y., Stasev Yu.V., Kuznetsov A.A. "Public key cryptosystems on hyperelliptic curves over even characteristic fields". //  Systemy ozbroenny I viyskova technika. –2007. –Vol. 3(11). –pp. 108-113. In Ukrainian.

 

Izbenko Y.A., Kuznetsov A.A., Moskovchenko I.V. "Building cryptographically secure Boolean functions using gradient descent method". // Sbornik nauchnih trudov KhU VS. ‑Kharkov: KhU VS. ‑2007. ‑Vol. 1 (13). –pp. 63-66. In Russian.

 

Kovtun V.Y. "Transformations in Jacobian genus 2 HEC in projective coordinates over odd characteristic fields". // Radiotekhnika: Vseukrainskiy mezhvedomstvenniy nauchno-tekhnicheskiy sbornik. -2006. –Vol. 144. –Kharkov. ‑pp. 102-110. In Russian.

 

Kovtun V.Y., Stasev Yu.V., Kuznetsov A.A., Grobchak V.I. "Creation of theoretical-coding schemas over generalized cascading codes". //  Zbirnyk nakovyh prats Kharkivskogo Universytetu Povitrynyh Syl. –Kharkiv: KhU PS. Systemy obrobky informatsii. ‑2006. –Vol. 2(8). –pp. 79-81. In Russian.

 

Izbenko Y.A., Kuznetsov A.A., Moskovchenko I.V. "Building of cryptographic functions using gradient descent method". // Sistemy vooruzheniya I voennaya technika. ‑Kharkov: KhHU VS. ‑2006. ‑Vol. 4 (8). ‑pp. 70-74. In Russian.

 

Kovtun V.Y., Zbitnev S.I., Shevchenko D.V. "Algorithms of solving discrete logarithm problem in Jacobian of Hyperelliptic curve". // Radiotekhnika: Vseukrainskiy mezhvedomstvenniy nauchno-tekhnicheskiy sbornik. ‑2005. –Vol. 141. –Karkov. ‑pp. 116–132. In Russian.

 

Kovtun V.Y., Tevyashev A.D., Zbitnev S.I. "Algorithms of scalar multiplication in group of elliptic curve points and some of their modifications". // Radiotekhnika: Vseukrainskiy mezhvedomstvenniy nauchno-tekhnicheskiy sbornik. ‑2005. –Vol. 141. –Karkov. ‑pp. 82–96. In Russian.

 

Kovtun V.Y., Zbitnev S.I., Ilysova O.E. "Arithmetic operations on elliptic curve over binary field in projective coordinates". //  Radiotekhnika: Vseukrainskiy mezhvedomstvenniy nauchno-tekhnicheskiy sbornik. -2005. –Vol. 141. –Karkov. –pp. 97-109. In Russian.

 

Kovtun V.Y., Zbitnev S.I., Shevchenko D.V., Ginevskiy A.M. "Research of algorithms for Hyperelliptic and Elliptic curves discrete logarithms problem". //  Vostochno-Evropeyskiy zhurnal peredovikh tekhnologiy. -2004. –Vol. 6(12). –Kharkov. –pp. 155–167. In Russian.

 

Kovtun V.Y. "Method of elliptic curve point addition in Lopez-Dahab projective coordinates". // Zbirnyk naukovyh prats. –Kharkiv: KhVU. Systemy obrobky informatsii. ‑2004. ‑Vol. 12(40). –pp. 83–88. In Russian.

 

Kovtun V.Y., Stasev Yu.V., Kuznetsov A.A., Trubachov V.Yu. "Research of divisor addition algorithms in Jacobian of Hyperelliptic curves over character 2 fields". //  Vstnik NTU “KhPI”. Sbornik nauchnikh rabot. Tematicheskiy vypusk: Sistemniy analiz, upravlenie i informatsionnie tekhnologii. –Kharkov. -2004. –Vol. 45, ‑pp. 45–56.. In Russian.

 

Kovtun V.Y., Zbitnev S.I. "Arithmetic in Jacobian of genus 2 Hyperelliptic curve in projective coordinates with reduced complexity". //  Vostochno-Evropeyskiy zhurnal peredovikh tekhnologiy. -2004. –Vol. 1/2 (13). –Kharkov. –pp. 14-22. In Russian.

 

Izbenko Y.A., Gorbenko I.D., Potiy A.V. "Trends in progress of modern stream ciphers schema". // Radiotekhnika: Vseukrainskiy mezhvedomstvenniy nauchno-tekhnicheskiy sbornik. ‑2004. –Vol. 126. ‑pp. 132–138. In Russian.

 

Izbenko Y.A., Gorbenko I.D., Potiy A.V. "Research of analytical and statistical properties of Boolean functions in Rijndeal cipher (FIPS 197)". Radiotekhnika: Vseukrainskiy mezhvedomstvenniy nauchno-tekhnicheskiy sbornik. –2004. ‑Vol.126. ‑pp. 132-138. In Ukrainian.

 

Izbenko Y.A., Kuznetsov A.A., Yukalchuk A.A. "Theoretical argumentation to support a possibility to develop a combined building method of highly non-linear Boolean functions". // Vistnik NTU “KhPI”. Sbornik nauchnikh rabot. Tematicheskiy vypusk: Sistemniy analiz, upravlenie I informatsionnie tekhnologii. –Kharkov: NTU “KhPI”. ‑2004. –Vol. 19. ‑pp. 115–121. In Russian.

 

Izbenko Y.A., Kuznetsov A.A., Yukalchuk A.A. "Analysis of known building methods of highly non-linear Boolean functions". // Vstnik NTU “KhPI”. Sbornik nauchnikh rabot. Tematicheskiy vypusk: Sistemniy analiz, upravlenie I informatsionnie tekhnologii. –Kharkov: NTU “KhPI”. ‑2004. –No.18. ‑pp. 91-97. In Russian.

 

Izbenko Y.A., Potiy A.V. "System of characteristics to evaluate  efficiency of stream cipher schemas". // Radiotekhnika: Vseukrainskiy mezhvedomstvenniy nauchno-tekhnicheskiy sbornik. –2003. –Vol. 123. ‑pp. 146-158. In Russian.

 

Izbenko Y.A., Potiy A.V., Stasev Yu.V. "Research of different stream cipher cryptoanalysis methods". // Pravovoe, normativnoe i metrologicheskoe obespechenie  system zaschity informatsii v Ukraine. – DSTSZI SBU, NTU “KPI”. ‑2003. –Vol. 6. –pp. 34-49. In Russian.

 

Kovtun V.Y., Stasev Yu.V., Golovashich S.A. "Comparative analysis of  field multiplications and reduction GF(2m)". // Radiotekhnika: Vseukrainskiy mezhvedomstvenniy nauchno-tekhnicheskiy sbornik. -2003. –Vol. 135. –Kharkov. ‑pp. 129–141. In Russian.

 

Kovtun V.Y., Pevnev V.Ya., Smirnov O.A., Vyshenko V.V. "Modified algorithm of scalar multiplication of points of elliptic curve over binary fields". // Visnyk ZhDTU. -2003. –No 2(26). ‑Vol.1/Tekhnichni nauky. –pp. 187–192. In Ukrainian.

 

Izbenko Y.A., Gorbenko I.D., Potiy A.V., Orlova S.V. "Analysis of the stream cipher schemas announced at NESSIE European contest". // Pravovoe, normativnoe i metrologicheskoe obespechenie  system zaschity informatsii v Ukraine. – DSTSZI SBU, NTU “KPI”. ‑2002. –Vol. 5. ‑pp. 92- 110. In Russian.

 

Conferences

Kovtun V.Y., Bulakh M.G. "The Modified Method of Inversion in Binary Field". // The Problems of Operation and Protection of Information & Communication Systems-2014” June 03-06, 2014. Kiev. Ukraine. In Russian.

  

Kovtun V.Y., Bulakh M.G. "The Modified Method of Inversion in Binary Field". // The Problems of Operation and Protection of Information & Communication Systems-2014” June 03-06, 2014. Kiev. Ukraine. In English.

  

Kovtun V.Y., Okhrimenko A.A. "Parallelization of multiplication algorithm of large integers with delayed carry". // 15th International workshop conference “Information security in telecommunication systems” May 22-25, 2012. Kiev. Ukraine. In Russian.

  

Kovtun V.Y., Okhrimenko A.A. "Delayed carry in multiplication of large integers". // 15th International workshop conference “Information security in telecommunication systems” May 22-25, 2012. Kiev. Ukraine. In Russian.

 

 

Kovtun V.Y., Wollinger T. "Fast explicit formulae for genus 2 hyperelliptic curves using projective coordinates". // Information technology – New Generation, 2007. ITNG’2007. Fourth International conference. April 2-4, 2007.

 

Kovtun V.Y., Tevyashev A.D., Zbitnev S.I. "Algorithms of scalar multiplication in group of elliptic curve points and some of their modifications". // Kharkiv National University of Radioelectronics, September 21-22, 2005. In Russian.

 

Kovtun V.Y. "Methods and algorithms of arithmetic transformations with reduced computational complexity over algebraic curves for the cryptographic applications". // Kharkov National University of Radioelectronics. June 30, 2005. Kharkov. Ukraine In Russian.

 

Kovtun V.Y. "Methods and algorithms of arithmetic transformations with reduced computational complexity over algebraic curves for the cryptographic applications". // 8th International workshop conference “Information security in telecommunication systems” May 25-27, 2005. Kiev. Ukraine. In Russian.

 

Preprints

Sergey Gnatyk, Mariya Kovtun, Vladislav Kovtun and Andrew Okhrimenko "Search methods of Edwards curves over binary fields birational equivalent to Wierstrass curves from DSTU 4145-2002" // Preprint. In Russian.

 

Vladislav Kovtun, Sergey Gnatyuk, Maria Kovtun "Hi-speed Multiplicative Inversion in Binary Fields for DSTU 4145-2002" // Preprint.   In Russian

 

Vladislav Kovtun and Andrew Okhrimenko, "Integer Multiplication with Delayed Carry for Publuc Key Cryptosystems Implementation" // Preprint. In Russian.

 

Vladislav Kovtun and Andrew Okhrimenko, "Approaches for the Parallelization of Software Implementationof Integer Multiplication" // Preprint. In English.

 

Vladislav Kovtun and Andrew Okhrimenko, "Approaches for the Parallelization of Software Implementationof Integer Multiplication" // Preprint. In Russian.

 

Declarative Patents

Kuznetsov A.A., Yevseev S.P., Kovtun V.Y., Rybuha Y.N., Minuhin S.V. "Method of pseudorandom numbers generation". // Patent UA 53792, MPK (2009), G09C1/00. –№ u 2009 13201; Claimed 18.12.2009; Published 25.10.2010, Bulletin №20, 2010. – 5p. In Ukrainian. 

 

Kuznetsov A.A., Kovtun V.Y., Yevseev S.P., Rybuha Y.N., Scherbakov A.V. "Method of pseudorandom numbers generation". // Patent UA 51869, MPK (2009), G09C1/00. –№ u 2009 13226; Claimed 18.12.2009; Published 10.08.2010, Bulletin №15, 2009. – 4p. In Ukrainian. 

 

Kuznetsov A.A., Kovtun V.Y., Yevseev S.P., Polykov A.A., Korol O.G. "Method of Two Points Addition on Elliptic Curve over Binary Extended Field in Projective Coordinates". // Patent UA 39675 A, MPK (2008.01), G06F7/04. –№ u 2008 10864; Claimed 03.09.2008; Published 10.03.2009, Bulletin №5, 2009. – 8p. In Ukrainian. 

 

Kuznetsov A.A., Kovtun V.Y., Yevseev S.P., Polykov A.A., Korol O.G. "Method of Two Points Addition on Elliptic Curve over Binary Extended Field in Projective Coordinates". // Patent UA 38400 A, MPK (2008.01), G06F7/04. –№ u 2008 10866; Claimed 03.09.2008; Published 12.01.2009, Bulletin №1, 2009. – 8p. In Ukrainian. 

 

Izbenko Y.A., Potiy A.A., Golovashich S.A "Method of building balanced highly non-linear Boolean functions with controlled algebraic degree". // Patent UA 60017 A, МКІ (2003), G06F7/04. – № u 2003 010323; Claimed 14.01.2003; Published 15.09.2003, Bulletin №9, 2003р. –4p. 

Izbenko Y.A., Potiy A.V., Golovashich S.A. "Method of building balanced highly non-linear Boolean functions". // Patent UA 59735 A, MPK (2002), G06F7/04. –№ u 2002 1119533; Claimed 29.11.2002; Published 15.09.2003, Bulletin №9, 2003. – 4p. In Ukrainian.