Katyshev, Sergey Yu.; Markov, Viktor T.; Nechaev, Alexander A. Application of non-associative groupoids to the realization of an open key distribution procedure. (English. Russian original) Zbl 1347.94040 Discrete Math. Appl. 25, No. 1, 9-24 (2015); translation from Diskretn. Mat. 26, No. 3, 45-64 (2014). MSC: 94A60 20N02 PDFBibTeX XMLCite \textit{S. Yu. Katyshev} et al., Discrete Math. Appl. 25, No. 1, 9--24 (2015; Zbl 1347.94040); translation from Diskretn. Mat. 26, No. 3, 45--64 (2014) Full Text: DOI DOI
Nechaev, Alexander A.; Popov, Vladimir O. A generalization of Ore’s theorem on irreducible polynomials over a finite field. (English. Russian original) Zbl 1345.11083 Discrete Math. Appl. 25, No. 4, 241-243 (2015); translation from Diskretn. Mat. 27, No. 1, 108-110 (2015). MSC: 11T06 12E05 PDFBibTeX XMLCite \textit{A. A. Nechaev} and \textit{V. O. Popov}, Discrete Math. Appl. 25, No. 4, 241--243 (2015; Zbl 1345.11083); translation from Diskretn. Mat. 27, No. 1, 108--110 (2015) Full Text: DOI
Alekseev, Evgeniy K.; Karelina, Ekaterina K. Classification of correlation-immune and minimal correlation-immune Boolean functions of 4 and 5 variables. (English. Russian original) Zbl 1347.94017 Discrete Math. Appl. 25, No. 4, 193-202 (2015); translation from Diskretn. Mat. 27, No. 1, 22-33 (2015). MSC: 94A60 94D10 PDFBibTeX XMLCite \textit{E. K. Alekseev} and \textit{E. K. Karelina}, Discrete Math. Appl. 25, No. 4, 193--202 (2015; Zbl 1347.94017); translation from Diskretn. Mat. 27, No. 1, 22--33 (2015) Full Text: DOI MNR
Rybkin, Andrey S. Investigation of the cryptosystem MST\(_3\) based on a Suzuki 2-group. (English. Russian original) Zbl 1347.94055 Discrete Math. Appl. 25, No. 3, 157-177 (2015); translation from Diskretn. Mat. 26, No. 4, 66-90 (2014). MSC: 94A60 PDFBibTeX XMLCite \textit{A. S. Rybkin}, Discrete Math. Appl. 25, No. 3, 157--177 (2015; Zbl 1347.94055); translation from Diskretn. Mat. 26, No. 4, 66--90 (2014) Full Text: DOI
Loshkarev, Sergey D. Calculating the number of solutions of a difference equation. (English. Russian original) Zbl 1390.39002 Discrete Math. Appl. 24, No. 5, 281-293 (2014); translation from Diskretn. Mat. 26, No. 2, 42-57 (2014). MSC: 39A05 68Q25 94A60 PDFBibTeX XMLCite \textit{S. D. Loshkarev}, Discrete Math. Appl. 24, No. 5, 281--293 (2014; Zbl 1390.39002); translation from Diskretn. Mat. 26, No. 2, 42--57 (2014) Full Text: DOI
Borodin, Mikhail A.; Chizhov, Ivan V. Effective attack on the McEliece cryptosystem based on Reed-Muller codes. (English. Russian original) Zbl 1403.94045 Discrete Math. Appl. 24, No. 5, 273-280 (2014); translation from Diskretn. Mat. 26, No. 1, 10-20 (2014). MSC: 94A60 94B05 PDFBibTeX XMLCite \textit{M. A. Borodin} and \textit{I. V. Chizhov}, Discrete Math. Appl. 24, No. 5, 273--280 (2014; Zbl 1403.94045); translation from Diskretn. Mat. 26, No. 1, 10--20 (2014) Full Text: DOI
Astakhov, Vasily V. On the existence and the number of stationary points of discrete logarithm to a base other than a primitive root. (English. Russian original) Zbl 1341.11012 Discrete Math. Appl. 24, No. 2, 61-71 (2014); translation from Diskretn. Mat. 25, No. 4, 41-53 (2013). MSC: 11D61 94A60 PDFBibTeX XMLCite \textit{V. V. Astakhov}, Discrete Math. Appl. 24, No. 2, 61--71 (2014; Zbl 1341.11012); translation from Diskretn. Mat. 25, No. 4, 41--53 (2013) Full Text: DOI
Stepanov, Sergei A. On the discrete logarithm problem. (English. Russian original) Zbl 1337.11084 Discrete Math. Appl. 24, No. 1, 45-52 (2014); translation from Diskretn. Mat. 26, No. 1, 133-142 (2014). MSC: 11Y16 11T71 PDFBibTeX XMLCite \textit{S. A. Stepanov}, Discrete Math. Appl. 24, No. 1, 45--52 (2014; Zbl 1337.11084); translation from Diskretn. Mat. 26, No. 1, 133--142 (2014) Full Text: DOI
Nikolaev, M. V.; Matyukhin, D. V. On the complexity of two-dimensional discrete logarithm problem in a finite cyclic group with effective automorphism of order 6. (English. Russian original) Zbl 1353.11114 Discrete Math. Appl. 23, No. 3-4, 313-325 (2013); translation from Diskretn. Mat. 25, No. 4, 54-65 (2013). MSC: 11Y16 11T71 PDFBibTeX XMLCite \textit{M. V. Nikolaev} and \textit{D. V. Matyukhin}, Discrete Math. Appl. 23, No. 3--4, 313--325 (2013; Zbl 1353.11114); translation from Diskretn. Mat. 25, No. 4, 54--65 (2013) Full Text: DOI
Zubkov, A. M.; Tarakanov, V. E. Cycle structure of power mappings in a residue class ring. (English. Russian original) Zbl 1398.94089 Discrete Math. Appl. 23, No. 3-4, 273-298 (2013); translation from Diskretn. Mat. 25, No. 2, 39-62 (2013). MSC: 94A55 11T71 05A15 PDFBibTeX XMLCite \textit{A. M. Zubkov} and \textit{V. E. Tarakanov}, Discrete Math. Appl. 23, No. 3--4, 273--298 (2013; Zbl 1398.94089); translation from Diskretn. Mat. 25, No. 2, 39--62 (2013) Full Text: DOI
Kharin, Yu S.; Vecherko, E. V. Statistical estimation of parameters for binary Markov chain models with embeddings. (English. Russian original) Zbl 1279.62172 Discrete Math. Appl. 23, No. 2, 153-169 (2013); translation from Diskretn. Mat. 25, No. 2, 135-148 (2013). MSC: 62M05 94A60 68P25 65C60 PDFBibTeX XMLCite \textit{Y. S. Kharin} and \textit{E. V. Vecherko}, Discrete Math. Appl. 23, No. 2, 153--169 (2013; Zbl 1279.62172); translation from Diskretn. Mat. 25, No. 2, 135--148 (2013) Full Text: DOI
Ivchenko, G. I.; Mironova, V. A. Some problems of spectral analysis of random Boolean functions with constraints. (English. Russian original) Zbl 1283.94071 Discrete Math. Appl. 23, No. 1, 91-114 (2013); translation from Diskretn. Mat. 25, No. 1, 90-110 (2013). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{G. I. Ivchenko} and \textit{V. A. Mironova}, Discrete Math. Appl. 23, No. 1, 91--114 (2013; Zbl 1283.94071); translation from Diskretn. Mat. 25, No. 1, 90--110 (2013) Full Text: DOI
Kurakin, V. L. The first digit carry function in the Galois ring. (English. Russian original) Zbl 1281.11020 Discrete Math. Appl. 22, No. 3, 241-259 (2012); translation from Diskretn. Mat. 24, No. 2, 21-36 (2012). MSC: 11B50 11T71 PDFBibTeX XMLCite \textit{V. L. Kurakin}, Discrete Math. Appl. 22, No. 3, 241--259 (2012; Zbl 1281.11020); translation from Diskretn. Mat. 24, No. 2, 21--36 (2012) Full Text: DOI
Anokhin, M. I. The automorphism groups of certain codes. (English. Russian original) Zbl 1316.94038 Discrete Math. Appl. 22, No. 1, 23-36 (2012); translation from Diskretn. Mat. 24, No. 1, 48-59 (2012). MSC: 94A24 20B25 PDFBibTeX XMLCite \textit{M. I. Anokhin}, Discrete Math. Appl. 22, No. 1, 23--36 (2012; Zbl 1316.94038); translation from Diskretn. Mat. 24, No. 1, 48--59 (2012) Full Text: DOI
Meluzov, A. S. On construction of efficient algorithms for solving systems of polynomial Boolean equations by testing a part of variables. (English. Russian original) Zbl 1251.68120 Discrete Math. Appl. 21, No. 3, 381-395 (2011); translation from Diskretn. Mat. 23, No. 3 (2011). MSC: 68Q17 06E30 94A60 68W30 PDFBibTeX XMLCite \textit{A. S. Meluzov}, Discrete Math. Appl. 21, No. 3, 381--395 (2011; Zbl 1251.68120); translation from Diskretn. Mat. 23, No. 3 (2011) Full Text: DOI
Shemyakina, O. V. On the mixing properties of operations in a finite field. (English. Russian original) Zbl 1238.94030 Discrete Math. Appl. 21, No. 3, 317-327 (2011); translation from Diskretn. Mat. 23, No. 2, 32-40 (2011). MSC: 94A60 11T71 PDFBibTeX XMLCite \textit{O. V. Shemyakina}, Discrete Math. Appl. 21, No. 3, 317--327 (2011; Zbl 1238.94030); translation from Diskretn. Mat. 23, No. 2, 32--40 (2011) Full Text: DOI
Smyshlyaev, S. V. Boolean functions without prediction. (English. Russian original) Zbl 1223.94022 Discrete Math. Appl. 21, No. 2, 209-227 (2011). Reviewer: Marcel Wild (Stellenbosch) MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{S. V. Smyshlyaev}, Discrete Math. Appl. 21, No. 2, 209--227 (2011; Zbl 1223.94022) Full Text: DOI
Rykov, S. V. On properties of the Klimov-Shamir generator of pseudorandom numbers. (English. Russian original) Zbl 1250.11076 Discrete Math. Appl. 21, No. 2, 179-202 (2011); translation from Diskretn. Mat. 23, No. 1, 51-71 (2011). Reviewer: Zlatko Varbanov (Veliko Tarnovo) MSC: 11K45 11T71 94A60 PDFBibTeX XMLCite \textit{S. V. Rykov}, Discrete Math. Appl. 21, No. 2, 179--202 (2011; Zbl 1250.11076); translation from Diskretn. Mat. 23, No. 1, 51--71 (2011) Full Text: DOI MNR
Bylkov, D. N.; Nechaev, A. A. An algorithm to restore a linear recurring sequence over the ring \(R = \mathbb Z_{p^n}\) from a linear complication of its highest coordinate sequence. (English. Russian original) Zbl 1225.94012 Discrete Math. Appl. 20, No. 5-6, 591-609 (2010); translation from Diskretn. Mat. 22, No. 4, 104-120 (2010). MSC: 94A45 13M99 PDFBibTeX XMLCite \textit{D. N. Bylkov} and \textit{A. A. Nechaev}, Discrete Math. Appl. 20, No. 5--6, 591--609 (2010; Zbl 1225.94012); translation from Diskretn. Mat. 22, No. 4, 104--120 (2010) Full Text: DOI
Markelova, A. V. Discrete logarithm in an arbitrary quotient ring of polynomials of one variable over a finite field. (English. Russian original) Zbl 1228.94026 Discrete Math. Appl. 20, No. 2, 231-246 (2010); translation from Diskretn. Mat. 22, No. 2, 120-132 (2010). Reviewer: Robert Fitzgerald (Carbondale) MSC: 94A60 11T71 11Y16 PDFBibTeX XMLCite \textit{A. V. Markelova}, Discrete Math. Appl. 20, No. 2, 231--246 (2010; Zbl 1228.94026); translation from Diskretn. Mat. 22, No. 2, 120--132 (2010) Full Text: DOI
Rozhkov, M. I. On some classes of nonlinear shift registers with the same cyclic structure. (English. Russian original) Zbl 1216.94043 Discrete Math. Appl. 20, No. 2, 127-155 (2010); translation from Diskretn. Mat. 22, No. 2, 96-119 (2010). MSC: 94A55 68Q45 PDFBibTeX XMLCite \textit{M. I. Rozhkov}, Discrete Math. Appl. 20, No. 2, 127--155 (2010; Zbl 1216.94043); translation from Diskretn. Mat. 22, No. 2, 96--119 (2010) Full Text: DOI
Alekseev, E. K. On some algebraic and combinatorial properties of correlation-immune Boolean functions. (English. Russian original) Zbl 1205.06009 Discrete Math. Appl. 20, No. 4, 421-439 (2010); translation from Diskretn. Mat. 22, No. 3, 110-126 (2010). MSC: 94D10 94A60 PDFBibTeX XMLCite \textit{E. K. Alekseev}, Discrete Math. Appl. 20, No. 4, 421--439 (2010; Zbl 1205.06009); translation from Diskretn. Mat. 22, No. 3, 110--126 (2010) Full Text: DOI
Edemskiĭ, V. A. On the linear complexity of binary sequences on the basis of biquadratic and sextic residue classes. (English. Russian original) Zbl 1241.11140 Discrete Math. Appl. 20, No. 1, 75-84 (2010); translation from Diskretn. Mat. 22, No. 1, 74-82 (2010). MSC: 11Y16 11T71 94A60 PDFBibTeX XMLCite \textit{V. A. Edemskiĭ}, Discrete Math. Appl. 20, No. 1, 75--84 (2010; Zbl 1241.11140); translation from Diskretn. Mat. 22, No. 1, 74--82 (2010) Full Text: DOI
Ponomarev, K. I. A parametric model of embedding and its statistical analysis. (English. Russian original) Zbl 1251.94037 Discrete Math. Appl. 19, No. 6, 587-596 (2009); translation from Diskretn. Mat. 21, No. 4, 148-157 (2009). MSC: 94A60 68P30 68U10 PDFBibTeX XMLCite \textit{K. I. Ponomarev}, Discrete Math. Appl. 19, No. 6, 587--596 (2009; Zbl 1251.94037); translation from Diskretn. Mat. 21, No. 4, 148--157 (2009) Full Text: DOI
Zubov, A. Yu. On the choice of the defence strategy for an authentication code with two-state source. (English. Russian original) Zbl 1243.94037 Discrete Math. Appl. 19, No. 6, 573-585 (2009); translation from Diskretn. Mat. 21, No. 4, 135-147 (2009). MSC: 94A62 PDFBibTeX XMLCite \textit{A. Yu. Zubov}, Discrete Math. Appl. 19, No. 6, 573--585 (2009; Zbl 1243.94037); translation from Diskretn. Mat. 21, No. 4, 135--147 (2009) Full Text: DOI
Zubov, A. Yu. On the game-theoretical approach to the analysis of authentication codes. (English. Russian original) Zbl 1243.94036 Discrete Math. Appl. 19, No. 5, 475-504 (2009); translation from Diskretn. Mat. 21, No. 3, 45-72 (2009). MSC: 94A62 91A80 PDFBibTeX XMLCite \textit{A. Yu. Zubov}, Discrete Math. Appl. 19, No. 5, 475--504 (2009; Zbl 1243.94036); translation from Diskretn. Mat. 21, No. 3, 45--72 (2009) Full Text: DOI
Chizhov, I. V. The key space of the McEliece-Sidelnikov cryptosystem. (English. Russian original) Zbl 1243.94025 Discrete Math. Appl. 19, No. 5, 445-474 (2009); translation from Diskretn. Mat. 21, No. 3, 132-159 (2009). MSC: 94A60 PDFBibTeX XMLCite \textit{I. V. Chizhov}, Discrete Math. Appl. 19, No. 5, 445--474 (2009; Zbl 1243.94025); translation from Diskretn. Mat. 21, No. 3, 132--159 (2009) Full Text: DOI
Ponomarev, K. I. On one statistical model of steganography. (English. Russian original) Zbl 1243.94035 Discrete Math. Appl. 19, No. 3, 329-336 (2009); translation from Diskretn. Mat. 21, No. 2, 138-145 (2009). MSC: 94A62 62B10 62F03 PDFBibTeX XMLCite \textit{K. I. Ponomarev}, Discrete Math. Appl. 19, No. 3, 329--336 (2009; Zbl 1243.94035); translation from Diskretn. Mat. 21, No. 2, 138--145 (2009) Full Text: DOI
Logachev, O. A.; Smyshlyaev, S. V.; Yashchenko, V. V. New methods of investigation of perfectly balanced Boolean functions. (English. Russian original) Zbl 1243.94029 Discrete Math. Appl. 19, No. 3, 237-262 (2009); translation from Diskretn. Mat. 21, No. 2, 51-74 (2009). MSC: 94A60 06E30 94A55 PDFBibTeX XMLCite \textit{O. A. Logachev} et al., Discrete Math. Appl. 19, No. 3, 237--262 (2009; Zbl 1243.94029); translation from Diskretn. Mat. 21, No. 2, 51--74 (2009) Full Text: DOI
Kamlovskii, O. V. Estimates of the number of occurrences of vectors on cycles of linear recurring sequences over a finite field. (English. Russian original) Zbl 1210.94112 Discrete Math. Appl. 18, No. 6, 595-605 (2008); translation from Diskretn. Mat. 20, No. 4, 102-112 (2008). MSC: 94B15 05A10 11B37 11T71 94A55 PDFBibTeX XMLCite \textit{O. V. Kamlovskii}, Discrete Math. Appl. 18, No. 6, 595--605 (2008; Zbl 1210.94112); translation from Diskretn. Mat. 20, No. 4, 102--112 (2008) Full Text: DOI
Logachev, O. A. A lower bound for the affinity level for almost all Boolean functions. (English. Russian original) Zbl 1172.94586 Discrete Math. Appl. 18, No. 5, 553-556 (2008); translation from Diskretn. Mat. 20, No. 4, 85-88 (2008). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{O. A. Logachev}, Discrete Math. Appl. 18, No. 5, 553--556 (2008; Zbl 1172.94586); translation from Diskretn. Mat. 20, No. 4, 85--88 (2008) Full Text: DOI
Buryakov, M. L. Asymptotic bounds for the affinity level for almost all Boolean functions. (English. Russian original) Zbl 1172.94564 Discrete Math. Appl. 18, No. 5, 545-551 (2008); translation from Diskretn. Mat. 20, No. 3, 73-79 (2008). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{M. L. Buryakov}, Discrete Math. Appl. 18, No. 5, 545--551 (2008; Zbl 1172.94564); translation from Diskretn. Mat. 20, No. 3, 73--79 (2008) Full Text: DOI
Buryakov, M. L. The relationship between the level of affinity and cryptographic parameters of Boolean functions. (English. Russian original) Zbl 1173.94417 Discrete Math. Appl. 18, No. 3, 227-238 (2008); translation from Diskretn. Mat. 20, No. 2, 3-14 (2008). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{M. L. Buryakov}, Discrete Math. Appl. 18, No. 3, 227--238 (2008; Zbl 1173.94417); translation from Diskretn. Mat. 20, No. 2, 3--14 (2008) Full Text: DOI
Ivchenko, G. I.; Medvedev, Yu. I. Random polynomials over a finite field. (English. Russian original) Zbl 1210.60016 Discrete Math. Appl. 18, No. 1, 1-23 (2008); translation from Diskretn. Mat. 20, No. 1, 3-24 (2008). MSC: 60C05 11T06 PDFBibTeX XMLCite \textit{G. I. Ivchenko} and \textit{Yu. I. Medvedev}, Discrete Math. Appl. 18, No. 1, 1--23 (2008; Zbl 1210.60016); translation from Diskretn. Mat. 20, No. 1, 3--24 (2008) Full Text: DOI
Kozlitin, O. A. Properties of the output sequence of a simplest 2-linear shift register over \(\mathbb Z_{2^{n}}\). (English. Russian original) Zbl 1278.94040 Discrete Math. Appl. 17, No. 6, 539-566 (2007); translation from Diskretn. Mat. 19, No. 4, 70-96 (2007). MSC: 94A55 11T71 PDFBibTeX XMLCite \textit{O. A. Kozlitin}, Discrete Math. Appl. 17, No. 6, 539--566 (2007; Zbl 1278.94040); translation from Diskretn. Mat. 19, No. 4, 70--96 (2007) Full Text: DOI MNR
Baev, V. V. An enhanced algorithm to search for low-degree annihilators for a Zhegalkin polynomial. (English. Russian original) Zbl 1278.94042 Discrete Math. Appl. 17, No. 5, 533-538 (2007); translation from Diskretn. Mat. 19, No. 4, 132-138 (2007). MSC: 94A60 94C10 PDFBibTeX XMLCite \textit{V. V. Baev}, Discrete Math. Appl. 17, No. 5, 533--538 (2007; Zbl 1278.94042); translation from Diskretn. Mat. 19, No. 4, 132--138 (2007) Full Text: DOI MNR
Anosov, A. D. On homomorphisms of many-sorted algebraic systems in connection with cryptographic applications. (English. Russian original) Zbl 1282.08005 Discrete Math. Appl. 17, No. 4, 331-347 (2007); translation from Diskretn. Mat. 19, No. 2, 27-44 (2007). MSC: 08A99 94A60 68P25 PDFBibTeX XMLCite \textit{A. D. Anosov}, Discrete Math. Appl. 17, No. 4, 331--347 (2007; Zbl 1282.08005); translation from Diskretn. Mat. 19, No. 2, 27--44 (2007) Full Text: DOI
Popovyan, I. A. Optimal logarithmic functions for lifting of a solution of an exponential congruence. (English. Russian original) Zbl 1238.11113 Discrete Math. Appl. 17, No. 3, 237-248 (2007); translation from Diskretn. Mat. 19, No. 2, 51-62 (2007). MSC: 11Y40 11S99 11T71 11Y16 PDFBibTeX XMLCite \textit{I. A. Popovyan}, Discrete Math. Appl. 17, No. 3, 237--248 (2007; Zbl 1238.11113); translation from Diskretn. Mat. 19, No. 2, 51--62 (2007) Full Text: DOI
Kozlitin, O. A. Periodic properties of a simplest 2-linear shift register. (English. Russian original) Zbl 1278.94039 Discrete Math. Appl. 17, No. 2, 135-162 (2007); translation from Diskretn. Mat. 19, No. 3, 51-78 (2007). MSC: 94A55 11T71 PDFBibTeX XMLCite \textit{O. A. Kozlitin}, Discrete Math. Appl. 17, No. 2, 135--162 (2007; Zbl 1278.94039); translation from Diskretn. Mat. 19, No. 3, 51--78 (2007) Full Text: DOI MNR
Bogonatov, R. V. Representations over a Galois ring of a linear recurring sequence of maximal period over a Galois field. (English. Russian original) Zbl 1238.11108 Discrete Math. Appl. 17, No. 1, 87-104 (2007); translation from Diskretn. Mat. 19, No. 1, 141-157 (2007); correction 19, No. 3, 160 (2007). MSC: 11T30 11B50 PDFBibTeX XMLCite \textit{R. V. Bogonatov}, Discrete Math. Appl. 17, No. 1, 87--104 (2007; Zbl 1238.11108); translation from Diskretn. Mat. 19, No. 1, 141--157 (2007); correction 19, No. 3, 160 (2007) Full Text: DOI
Nazarov, V. V. Schemes of public distribution of a key based on a noncommutative operation. (English. Russian original) Zbl 1121.94022 Discrete Math. Appl. 16, No. 6, 619-626 (2006); translation from Diskretn. Mat. 18, No. 4, 148-157 (2006). MSC: 94A62 94A60 PDFBibTeX XMLCite \textit{V. V. Nazarov}, Discrete Math. Appl. 16, No. 6, 619--626 (2006; Zbl 1121.94022); translation from Diskretn. Mat. 18, No. 4, 148--157 (2006) Full Text: DOI
Gashkov, S. B.; Sergeev, I. S. An application of the method of additive chains to inversion in finite fields. (English. Russian original) Zbl 1140.11061 Discrete Math. Appl. 16, No. 6, 601-618 (2006); translation from Diskretn. Mat. 18, No. 4, 56-72 (2006). Reviewer: Zlatko Varbanov (Veliko Tarnovo) MSC: 11T71 94A60 11Y16 14G50 94C05 PDFBibTeX XMLCite \textit{S. B. Gashkov} and \textit{I. S. Sergeev}, Discrete Math. Appl. 16, No. 6, 601--618 (2006; Zbl 1140.11061); translation from Diskretn. Mat. 18, No. 4, 56--72 (2006) Full Text: DOI
Lobanov, M. S. Exact relation between nonlinearity and algebraic immunity. (English. Russian original) Zbl 1121.94020 Discrete Math. Appl. 16, No. 5, 453-460 (2006); translation from Diskretn. Mat. 18, No. 3, 152-159 (2006). MSC: 94A60 06E30 94C10 PDFBibTeX XMLCite \textit{M. S. Lobanov}, Discrete Math. Appl. 16, No. 5, 453--460 (2006; Zbl 1121.94020); translation from Diskretn. Mat. 18, No. 3, 152--159 (2006) Full Text: DOI
Baev, V. V. On some algorithms for constructing low-degree annihilators for Boolean functions. (English. Russian original) Zbl 1121.94015 Discrete Math. Appl. 16, No. 5, 439-452 (2006); translation from Diskretn. Mat. 18, No. 3, 138-151 (2006). MSC: 94A45 06E30 PDFBibTeX XMLCite \textit{V. V. Baev}, Discrete Math. Appl. 16, No. 5, 439--452 (2006; Zbl 1121.94015); translation from Diskretn. Mat. 18, No. 3, 138--151 (2006) Full Text: DOI
Blaĭvas, T. D. The Shannon function of the complexity of interval search on the Boolean cube in the class of trees. (English. Russian original) Zbl 1121.68055 Discrete Math. Appl. 16, No. 3, 259-270 (2006); translation from Diskretn. Mat. 18, No. 2, 111-122 (2006). MSC: 68Q25 68P05 94A15 60C05 62B10 PDFBibTeX XMLCite \textit{T. D. Blaĭvas}, Discrete Math. Appl. 16, No. 3, 259--270 (2006; Zbl 1121.68055); translation from Diskretn. Mat. 18, No. 2, 111--122 (2006) Full Text: DOI
Maĭlybaeva, G. A. Degeneracy bounds for private information retrieval protocols. (English. Russian original) Zbl 1121.68013 Discrete Math. Appl. 16, No. 3, 245-257 (2006); translation from Diskretn. Mat. 18, No. 2, 98-110 (2006). MSC: 68M12 94A62 PDFBibTeX XMLCite \textit{G. A. Maĭlybaeva}, Discrete Math. Appl. 16, No. 3, 245--257 (2006; Zbl 1121.68013); translation from Diskretn. Mat. 18, No. 2, 98--110 (2006) Full Text: DOI
Sadovnik, E. V. Testing numbers of the form \(N = 2kp^{m} - 1\) for primality. (English. Russian original) Zbl 1126.11071 Discrete Math. Appl. 16, No. 2, 99-108 (2006); translation from Diskretn. Mat. 18, No. 1, 146-155 (2006). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y11 11A51 11Y16 94A60 PDFBibTeX XMLCite \textit{E. V. Sadovnik}, Discrete Math. Appl. 16, No. 2, 99--108 (2006; Zbl 1126.11071); translation from Diskretn. Mat. 18, No. 1, 146--155 (2006) Full Text: DOI
Semyonovykh, D. N. A generalisation of quadratic residue codes to the case of cubic and biquadratic residues. (English, Russian) Zbl 1103.94030 Discrete Math. Appl. 15, No. 6, 573-580 (2005); translation from Diskretn. Mat. 17, No. 4, 143-149 (2005). MSC: 94B15 94B05 11T71 11A15 PDFBibTeX XMLCite \textit{D. N. Semyonovykh}, Discrete Math. Appl. 15, No. 6, 573--580 (2005; Zbl 1103.94030); translation from Diskretn. Mat. 17, No. 4, 143--149 (2005) Full Text: DOI
Ronzhin, A. F. Extensions of information protocols based on mappings of finite sets. (English, Russian) Zbl 1103.94025 Discrete Math. Appl. 15, No. 5, 453-462 (2005); translation from Diskretn. Mat. 17, No. 4, 18-28 (2005). MSC: 94A62 62B10 PDFBibTeX XMLCite \textit{A. F. Ronzhin}, Discrete Math. Appl. 15, No. 5, 453--462 (2005; Zbl 1103.94025); translation from Diskretn. Mat. 17, No. 4, 18--28 (2005) Full Text: DOI
Solodovnikov, V. I. Homomorphisms of binary shift registers. (English, Russian) Zbl 1101.94025 Discrete Math. Appl. 15, No. 2, 179-193 (2005); translation from Diskretn. Mat. 17, No. 1, 73-88 (2005). MSC: 94A55 PDFBibTeX XMLCite \textit{V. I. Solodovnikov}, Discrete Math. Appl. 15, No. 2, 179--193 (2005; Zbl 1101.94025); translation from Diskretn. Mat. 17, No. 1, 73--88 (2005)
Sidorov, M. A. Applications of a hidden Markov field model in steganalysis of images. (English) Zbl 1100.94004 Discrete Math. Appl. 15, No. 4, 403-419 (2005); translation from Diskretn. Mat. 17, No. 3, 89-104 (2005). MSC: 94A08 60G35 62M40 PDFBibTeX XMLCite \textit{M. A. Sidorov}, Discrete Math. Appl. 15, No. 4, 403--419 (2005; Zbl 1100.94004); translation from Diskretn. Mat. 17, No. 3, 89--104 (2005) Full Text: DOI
Mikhailov, V. G.; Mezhennaya, N. M. Bounds for the probability of a constrained embedding of one discrete sequence into another. (English) Zbl 1096.94526 Discrete Math. Appl. 15, No. 4, 377-386 (2005); translation from Diskretn. Mat. 17, No. 3, 19-27 (2005). MSC: 94A60 PDFBibTeX XMLCite \textit{V. G. Mikhailov} and \textit{N. M. Mezhennaya}, Discrete Math. Appl. 15, No. 4, 377--386 (2005; Zbl 1096.94526); translation from Diskretn. Mat. 17, No. 3, 19--27 (2005) Full Text: DOI
Baulina, Yu. N. On the number of solutions of the equation \((x_1+\cdots+x_n)^m=ax_1\dots x_n\) in a finite field. (English. Russian original) Zbl 1106.11011 Discrete Math. Appl. 14, No. 5, 501-508 (2004); translation from Diskretn. Mat. 16, No. 4, 41-48 (2004). MSC: 11D79 11D45 11T24 11G25 PDFBibTeX XMLCite \textit{Yu. N. Baulina}, Discrete Math. Appl. 14, No. 5, 501--508 (2004; Zbl 1106.11011); translation from Diskretn. Mat. 16, No. 4, 41--48 (2004)
Kozlitin, O. A. Polynomial transformations of GEO-rings of prime characteristic. (English. Russian original) Zbl 1102.16013 Discrete Math. Appl. 14, No. 4, 373-384 (2004); translation from Diskretn. Mat. 16, No. 3, 105-117 (2004). MSC: 16P10 16S36 08A40 11T06 16R50 PDFBibTeX XMLCite \textit{O. A. Kozlitin}, Discrete Math. Appl. 14, No. 4, 373--384 (2004; Zbl 1102.16013); translation from Diskretn. Mat. 16, No. 3, 105--117 (2004) Full Text: DOI
Karpunin, G. A. On the McEliece public-key cryptosystem based on Reed-Muller binary codes. (English. Russian original) Zbl 1121.94019 Discrete Math. Appl. 14, No. 3, 257-262 (2004); translation from Diskretn. Mat. 16, No. 2, 79-84 (2004). MSC: 94A60 PDFBibTeX XMLCite \textit{G. A. Karpunin}, Discrete Math. Appl. 14, No. 3, 79--84 (2004; Zbl 1121.94019); translation from Diskretn. Mat. 16, No. 2, 79--84 (2004) Full Text: DOI
Cherepnev, M. A. Schemes of public distribution of keys based on a non-commutative group. (English. Russian original) Zbl 1047.94007 Discrete Math. Appl. 13, No. 3, 265-269 (2003); translation from Diskretn. Mat. 15, No. 2, 47-51 (2003). MSC: 94A60 20M99 PDFBibTeX XMLCite \textit{M. A. Cherepnev}, Discrete Math. Appl. 13, No. 3, 265--269 (2003; Zbl 1047.94007); translation from Diskretn. Mat. 15, No. 2, 47--51 (2003) Full Text: DOI
Grusho, A. A.; Timonina, E. E. Estimation of the time needed to set up a covert channel. (English. Russian original) Zbl 1047.94015 Discrete Math. Appl. 13, No. 3, 257-263 (2003); translation from Diskretn. Mat. 15, No. 2, 40-46 (2003). MSC: 94A62 94A60 68P25 05C90 PDFBibTeX XMLCite \textit{A. A. Grusho} and \textit{E. E. Timonina}, Discrete Math. Appl. 13, No. 3, 257--263 (2003; Zbl 1047.94015); translation from Diskretn. Mat. 15, No. 2, 40--46 (2003) Full Text: DOI
Matyukhin, D. V. On asymptotic complexity of computing discrete logarithms over \(\text{GF}(p)\). (English. Russian original) Zbl 1054.11065 Discrete Math. Appl. 13, No. 1, 27-50 (2003); translation from Diskretn. Mat. 15, No. 1, 28-49 (2003). MSC: 11Y16 11T71 PDFBibTeX XMLCite \textit{D. V. Matyukhin}, Discrete Math. Appl. 13, No. 1, 27--50 (2003; Zbl 1054.11065); translation from Diskretn. Mat. 15, No. 1, 28--49 (2003) Full Text: DOI
Shishkov, A. B. Linear recurring sequence decimations with exponentially increasing step. (English. Russian original) Zbl 1054.11008 Discrete Math. Appl. 12, No. 5, 495-500 (2002); translation from Diskretn. Mat. 14, No. 3, 70-77 (2002). MSC: 11B37 11T06 PDFBibTeX XMLCite \textit{A. B. Shishkov}, Discrete Math. Appl. 12, No. 5, 495--500 (2002; Zbl 1054.11008); translation from Diskretn. Mat. 14, No. 3, 70--77 (2002) Full Text: DOI
Babash, A. V. On the periodicity of the sequence of states of an automaton corresponding to a given initial state and a given periodic input sequence. (English. Russian original) Zbl 1088.68627 Discrete Math. Appl. 12, No. 3, 235-246 (2002); translation from Diskretn. Mat. 14, No. 2, 54-64 (2002). MSC: 68Q45 37N15 94A55 PDFBibTeX XMLCite \textit{A. V. Babash}, Discrete Math. Appl. 12, No. 3, 235--246 (2002; Zbl 1088.68627); translation from Diskretn. Mat. 14, No. 2, 54--64 (2002) Full Text: DOI
Logachev, O. A.; Salnikov, A. A.; Yashchenko, V. V. On inherited properties of restricted Boolean functions. (English. Russian original) Zbl 1047.94009 Discrete Math. Appl. 12, No. 3, 201-212 (2002); translation from Diskretn. Mat. 14, No. 2, 9-19 (2002). MSC: 94A60 06E30 PDFBibTeX XMLCite \textit{O. A. Logachev} et al., Discrete Math. Appl. 12, No. 3, 201--212 (2002; Zbl 1047.94009); translation from Diskretn. Mat. 14, No. 2, 9--19 (2002) Full Text: DOI
Solodovnikov, V. I. Bent functions from a finite abelian group into a finite abelian group. (English. Russian original) Zbl 1047.94011 Discrete Math. Appl. 12, No. 2, 111-126 (2002); translation from Diskretn. Mat. 14, No. 1, 99-113 (2002). MSC: 94A60 06E30 20K01 PDFBibTeX XMLCite \textit{V. I. Solodovnikov}, Discrete Math. Appl. 12, No. 2, 111--126 (2002; Zbl 1047.94011); translation from Diskretn. Mat. 14, No. 1, 99--113 (2002) Full Text: DOI
Mikhaĭlov, D. A. Monic polylinear shift registers and their periods. (English. Russian original) Zbl 1054.94008 Discrete Math. Appl. 12, No. 1, 15-44 (2002); translation from Diskretn. Mat. 14, No. 1, 30-58 (2002). Reviewer: Bal Kishan Dass (Delhi) MSC: 94A55 13E10 PDFBibTeX XMLCite \textit{D. A. Mikhaĭlov}, Discrete Math. Appl. 12, No. 1, 15--44 (2002; Zbl 1054.94008); translation from Diskretn. Mat. 14, No. 1, 30--58 (2002)
Grusho, A. A.; Shumitskaya, E. L. Non-interference models and subliminal channels. (English. Russian original) Zbl 1047.94500 Discrete Math. Appl. 12, No. 1, 9-14 (2002); translation from Diskretn. Mat. 14, No. 1, 11-16 (2002). MSC: 94A05 94A40 03D05 68Q45 PDFBibTeX XMLCite \textit{A. A. Grusho} and \textit{E. L. Shumitskaya}, Discrete Math. Appl. 12, No. 1, 9--14 (2002; Zbl 1047.94500); translation from Diskretn. Mat. 14, No. 1, 11--16 (2002) Full Text: DOI
Mikhajlov, V. G. A Poisson theorem for the number of non-collinear solutions of a system of random equations. (English. Russian original) Zbl 1047.60016 Discrete Math. Appl. 11, No. 4, 391-400 (2001); translation from Diskretn. Mat. 13, No. 3, 81-90 (2001). MSC: 60F05 11T99 PDFBibTeX XMLCite \textit{V. G. Mikhajlov}, Discrete Math. Appl. 11, No. 4, 391--400 (2001; Zbl 1047.60016); translation from Diskretn. Mat. 13, No. 3, 81--90 (2001) Full Text: DOI
Bolotov, A. A.; Gashkov, S. B. On a fast multiplication in normal bases of finite fields. (English. Russian original) Zbl 1060.12008 Discrete Math. Appl. 11, No. 4, 327-356 (2001); translation from Diskretn. Mat. 13, No. 3, 3-31 (2001). MSC: 12Y05 12E20 68P25 68Q25 94A60 PDFBibTeX XMLCite \textit{A. A. Bolotov} and \textit{S. B. Gashkov}, Discrete Math. Appl. 11, No. 4, 327--356 (2001; Zbl 1060.12008); translation from Diskretn. Mat. 13, No. 3, 3--31 (2001) Full Text: DOI
Selezneva, S. N. On some properties of polynomials over finite fields. (English. Russian original) Zbl 1054.11062 Discrete Math. Appl. 11, No. 2, 189-197 (2001); translation from Diskretn. Mat. 13, No. 2, 111-119 (2001). MSC: 11T06 12E05 13M10 PDFBibTeX XMLCite \textit{S. N. Selezneva}, Discrete Math. Appl. 11, No. 2, 189--197 (2001; Zbl 1054.11062); translation from Diskretn. Mat. 13, No. 2, 111--119 (2001) Full Text: DOI
Kurakin, V. L. Linear complexity of polylinear sequences. (English. Russian original) Zbl 1053.94010 Discrete Math. Appl. 11, No. 1, 1-51 (2001); translation from Diskretn. Mat. 13, No. 1, 3-55 (2001). Reviewer: Graham H. Norton (Brisbane) MSC: 94A55 PDFBibTeX XMLCite \textit{V. L. Kurakin}, Discrete Math. Appl. 11, No. 1, 1--51 (2001; Zbl 1053.94010); translation from Diskretn. Mat. 13, No. 1, 3--55 (2001) Full Text: DOI
Kurakin, V. L. Polynomial transforms of linear recurring sequences over finite commutative rings. (English. Russian original) Zbl 1001.11007 Discrete Math. Appl. 10, No. 4, 333-366 (2000); translation from Diskret. Mat. 12, No. 3, 3-36 (2000). MSC: 11B37 94A55 94A60 11T99 PDFBibTeX XMLCite \textit{V. L. Kurakin}, Discrete Math. Appl. 10, No. 4, 333--366 (2000; Zbl 1001.11007); translation from Diskret. Mat. 12, No. 3, 3--36 (2000) Full Text: DOI
Pazizin, S. V. The probabilities of right decoding for a channel with additive Gaussian noise and a binary symmetric channel with random choice of code words. (English. Russian original) Zbl 1011.94009 Discrete Math. Appl. 10, No. 3, 265-271 (2000); translation from Diskret. Mat. 12, No. 2, 93-98 (2000). MSC: 94A40 94A24 PDFBibTeX XMLCite \textit{S. V. Pazizin}, Discrete Math. Appl. 10, No. 3, 265--271 (2000; Zbl 1011.94009); translation from Diskret. Mat. 12, No. 2, 93--98 (2000) Full Text: DOI