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## Zinov’ev, Viktor Aleksandrovich

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 Author ID: zinovev.viktor-aleksandrovich Published as: Zinov’ev, V.; Zinov’ev, V. A.; Zinov’ev, Viktor Aleksandrovich; Zinoviev, V.; Zinoviev, V. A.; Zinoviev, Victor; Zinoviev, Victor A.; Zinovjev, V. A. External Links: Math-Net.Ru
 Documents Indexed: 147 Publications since 1968, including 1 Book
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#### Co-Authors

 8 single-authored 23 Bassalygo, Leonid A. 21 Rifà, Josep 20 Zinov’ev, Dmitriĭ Viktorovich 15 Helleseth, Tor 13 Borges, Joaquim 13 Charpin, Pascale 12 Ericson, Thomas H. E. 11 Litsyn, Simon N. 8 Zyablov, Victor V. 7 Semakov, N. V. 5 Moreno, Oscar 5 Tietäväinen, Aimo A. 5 Zaitsev, G. V. 4 Dodunekov, Stefan Manev 3 Leont’ev, V. K. 3 Lobstein, Antoine-Christophe 2 Boyvalenkov, Peter G. 2 Delchev, Konstantin 2 Dumer, Ilya I. 2 Kumar, P. Vijay 2 Lebedev, Vladimir Sergeevich 2 Pinsker, Mark Semenovich 2 Poltyrev, G. Sh. 2 Portnoy, Stephen L. 1 Augot, Daniel 1 Bogdanova, Galina T. 1 Carlet, Claude 1 Erikson, T. 1 Fel’dman, Naum Il’ich 1 Johansson, Thomas 1 Katsman, Gregory L. 1 Litsin, S. N. 1 Minier, Marine 1 Nilsson, Jan E. M. 1 Phelps, Kevin T. 1 Siforov, Vladimir Ivanovich 1 Simonis, Juriaan 1 Solov’eva, Faina Ivanovna 1 Suhov, Yurii Mikhailovich 1 Tarnanen, Hannu 1 Todorov, Todor Jordanov 1 Villanueva, Mercè 1 Zhang, Zhen
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#### Serials

 47 Problems of Information Transmission 21 Problemy Peredachi Informatsii 12 IEEE Transactions on Information Theory 10 Discrete Mathematics 7 Designs, Codes and Cryptography 5 Mathematical Notes 4 Finite Fields and their Applications 3 Advances in Mathematics of Communications 2 Russian Mathematical Surveys 2 SIAM Journal on Discrete Mathematics 2 Problems of Control and Information Theory 2 Applicable Algebra in Engineering, Communication and Computing 1 Discrete Applied Mathematics 1 Periodica Mathematica Hungarica 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Journal of Combinatorial Theory. Series A 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Soviet Mathematics. Doklady 1 European Journal of Combinatorics 1 Moscow Mathematical Journal 1 North-Holland Mathematical Library
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#### Fields

 118 Information and communication theory, circuits (94-XX) 31 Combinatorics (05-XX) 31 Number theory (11-XX) 4 Field theory and polynomials (12-XX) 4 Geometry (51-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 2 Abstract harmonic analysis (43-XX) 2 Computer science (68-XX) 1 Algebraic geometry (14-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

99 Publications have been cited 724 times in 487 Documents Cited by Year
Codes, bent functions and permutations suitable for DES-like cryptosystems. Zbl 0938.94011
Carlet, Claude; Charpin, Pascale; Zinoviev, Victor
1998
New Kloosterman sums identities over $$\mathbb F_{2^m}$$ for all $$m$$. Zbl 1081.11077
Helleseth, Tor; Zinoviev, Victor
2003
Uniformly close-packed codes. Zbl 0306.94009
Semakov, N. V.; Zinov’ev, V. A.; Zaĭtsev, G. V.
1971
Equidistant $$q$$-ary codes with maximal distance and resolvable balanced incomplete block designs. Zbl 0278.94007
Semakov, N. V.; Zinov’ev, V. A.
1968
Permutation and complete permutation polynomials. Zbl 1368.11126
Bassalygo, L. A.; Zinoviev, V. A.
2015
On $$\mathbb{Z}_4$$-linear Goethals codes and Kloosterman sums. Zbl 0951.11026
Helleseth, Tor; Zinoviev, Victor
1999
The divisibility modulo 24 of Kloosterman sums on $$\text{GF}(2^m)$$, $$m$$ odd. Zbl 1112.11055
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
2007
Codes on Euclidean spheres. Zbl 0985.94050
Ericson, Thomas; Zinoviev, Victor
2001
Balanced codes and tactical configurations. Zbl 0295.94022
Semakov, N. V.; Zinov’ev, V. A.
1969
On uniformly close-packed codes. Zbl 0317.94016
Bassalygo, L. A.; Zaĭtsev, G. V.; Zinov’ev, V. A.
1974
On $$\mathbb Z_4$$-linear Preparata-like and Kerdock-like code. Zbl 1282.94092
Borges, Joaquim; Phelps, Kevin T.; Rifà, Josep; Zinoviev, Victor A.
2003
Interrelation of Preparata and Hamming codes and extension of Hamming codes to new double-error-correcting codes. Zbl 0386.94010
Zaitsev, G. V.; Zinovjev, V. A.; Semakov, N. V.
1973
On non-antipodal binary completely regular codes. Zbl 1141.94013
Borges, J.; Rifà, J.; Zinoviev, V. A.
2008
Propagation characteristics of $$x\mapsto x^{-1}$$ and Kloosterman sums. Zbl 1148.11041
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
2007
New constructions of optimal cyclically permutable constant weight codes. Zbl 0827.94033
Moreno, Oscar; Zhang, Zhen; Kumar, P. Vijay; Zinoviev, Victor A.
1995
Divisibility properties of classical binary Kloosterman sums. Zbl 1229.11154
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
2009
On lifting perfect codes. Zbl 1365.94528
Rifà, Josep; Zinoviev, Victor A.
2011
On $$q$$-ary linear completely regular codes with $$\rho=2$$ and antipodal dual. Zbl 1213.94192
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor A.
2010
Classification of Steiner quadruple systems of order 16 and rank at most 13. Zbl 1077.05015
Zinoviev, V. A.; Zinoviev, D. V.
2004
On binary cyclic codes with minimum distance $$d=3$$. Zbl 1038.94562
Charpin, P.; Tietäväinen, A.; Zinov’ev, V.
1997
Some new maximal codes over the Galois field $$\text{GF}(4)$$. Zbl 0396.94011
Dumer, I. I.; Zinov’ev, V. A.
1978
Fourier-invariant pairs of partitions of finite Abelian groups and association schemes. Zbl 1202.94217
Zinov’ev, V. A.; Ericson, T.
2009
On a class of binary linear completely transitive codes with arbitrary covering radius. Zbl 1176.94073
Rifà, J.; Zinoviev, V. A.
2009
Binary perfect codes of length 15 by the generalized concatenated construction. Zbl 1084.94022
Zinoviev, V. A.; Zinoviev, D. V.
2004
Nonexistence of completely transitive codes with error-correcting capability $$e>3$$. Zbl 1017.94015
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor
2001
On Fourier-invariant partitions of finite Abelian groups and the MacWilliams identity for group codes. Zbl 0898.20031
Zinov’ev, V. A.; Ericson, T.
1996
A note on uniformly-packed codes. Zbl 0403.94016
Bassalygo, L. A.; Zinov’ev, V. A.
1977
Generalized concatenated codes. Zbl 0356.94011
Zinov’ev, V. A.
1976
On a class of maximal equidistant codes. Zbl 0295.94023
Semakov, N. V.; Zinov’ev, V. A.; Zaĭtsev, G. V.
1969
One class of permutation polynomials over finite fields of even characteristic. Zbl 1393.11079
Bassalygo, L. A.; Zinoviev, V. A.
2015
Families of completely transitive codes and distance transitive graphs. Zbl 1357.94097
Borges, J.; Rifà, J.; Zinoviev, V. A.
2014
New families of completely regular codes and their corresponding distance regular coset graphs. Zbl 1315.94137
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor
2014
New completely regular $$q$$-ary codes based on Kronecker products. Zbl 1366.94736
Rifà, Josep; Zinoviev, Victor A.
2010
On generalized concatenated constructions of perfect binary nonlinear codes. Zbl 1004.94033
Zinoviev, V. A.; Lobstein, A. C.
2000
Spherical codes generated by binary partitions of symmetric pointsets. Zbl 0838.94016
Ericson, Thomas; Zinoviev, Victor
1995
Complete and quasi-complete balanced codes. Zbl 0295.94021
Semakov, N. V.; Zinov’ev, V. A.
1969
Steiner triple systems $$S(2^m-1,3,2)$$ of rank $$2^m-m+1$$ over $$\mathbb F_2$$. Zbl 1274.05045
Zinoviev, V. A.; Zinoviev, D. V.
2012
On one transformation of Steiner quadruple systems $$S(\upsilon , 4, 3)$$. Zbl 1201.05012
Zinoviev, V. A.; Zinoviev, D. V.
2009
On the construction of $$q$$-ary equidistant codes. Zbl 1213.94168
Bogdanova, G. T.; Zinov’ev, V. A.; Todorov, T. J.
2007
On new completely regular $$q$$-ary codes. Zbl 1140.94378
Zinoviev, V. A.; Rifà, J.
2007
Classification of Steiner quadruple systems of order 16 and rank 14. Zbl 1236.05030
Zinoviev, V. A.; Zinoviev, D. V.
2006
The Grey-Rankin bound for nonbinary codes. Zbl 1237.94148
Bassalygo, L. A.; Dodunekov, S. M.; Zinoviev, V. A.; Helleseth, T.
2006
On the minimum distances of non-binary cyclic codes. Zbl 0941.94020
Charpin, Pascale; Tietäväinen, Aimo; Zinoviev, Victor
1999
On coset weight distributions of the 3-error-correcting BCH-codes. Zbl 0870.94043
Charpin, Pascale; Zinoviev, Victor
1997
On resolvability of Steiner systems $$S ( v = 2^{ m }, 4, 3)$$ of rank $$r \leq v - m + 1$$ over $$\mathbb{F}_{2}$$. Zbl 1236.05036
Zinoviev, V. A.; Zinoviev, D. V.
2007
Binary extended perfect codes of length 16 and rank 14. Zbl 1237.94132
Zinoviev, V. A.; Zinoviev, D. V.
2006
The coset distribution of triple-error-correcting binary primitive BCH codes. Zbl 1184.94274
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor A.
2006
On cosets of weight 4 of binary BCH codes with minimum distance 8 and exponential sums. Zbl 1102.94028
Zinoviev, V. A.; Helleseth, T.; Charpin, P.
2005
On a new identity for Kloosterman sums and nonlinear system of equations over finite fields of characteristic 2. Zbl 1048.11096
Helleseth, Tor; Zinoviev, Victor
2004
On coset weight distributions of the $$\mathbb{Z}_4$$-linear Goethals codes. Zbl 0998.94023
Helleseth, Tor; Zinoviev, Victor
2001
An improvement of the Gilbert bound for constant weight codes. Zbl 0635.94018
Ericson, Thomas; Zinov’ev, V. A.
1987
Cascade equal-weight codes and maximal packings. Zbl 0529.94013
Zinoviev, V. A.
1983
Completely regular codes by concatenating Hamming codes. Zbl 1414.94943
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor
2018
Structure of Steiner triple systems $$S(2^m-1,3,2)$$ of rank $$2^m-m+2$$ over $$\mathbb F_2$$. Zbl 1308.05025
Zinoviev, V. A.; Zinoviev, D. V.
2013
Remark on “Steiner triple systems $$S(2^m-1,3,2)$$ of rank $$2^m-m+1$$ over $$\mathbb F_2$$”. Zbl 1276.05013
Zinoviev, V. A.; Zinoviev, D. V.
2013
On divisibility of exponential sums of polynomials of special type over fields of characteristic 2. Zbl 1294.11213
Bassalygo, L. A.; Zinoviev, V. A.
2013
Codes with the same coset weight distributions as the $$\mathbb{Z}_4$$-linear Goethals codes. Zbl 0998.94022
Helleseth, Tor; Zinoviev, Victor
2001
$$F$$-partitions of cyclic groups. Zbl 0893.20039
Ericson, Thomas; Simonis, Juriaan; Tarnanen, Hannu; Zinoviev, Victor
1997
Universal code families. Zbl 0804.94014
Zinov’ev, V. A.; Katsman, G. L.
1993
Minimum-check-density codes for correcting bytes of errors, erasures, or defects. Zbl 0539.94021
Zaĭtsev, G. V.; Zinov’ev, V. A.; Semakov, N. V.
1983
Remark on balanced incomplete block designs, near-resolvable block designs, and $$q$$-ary constant-weight codes. Zbl 1387.94128
Bassalygo, L. A.; Zinov’ev, V. A.
2017
Completely regular codes with different parameters giving the same distance-regular coset graphs. Zbl 1361.05039
Rifà, J.; Zinoviev, V. A.
2017
Families of nested completely regular codes and distance-regular graphs. Zbl 1361.94061
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor A.
2015
On cosets of weight 4 of $$\text{BCH}(2^m,8)$$, $$m$$ even, and exponential sums. Zbl 1245.11123
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
2008
Construction of new completely regular $$q$$-ary codes from perfect $$q$$-ary codes. Zbl 1168.94520
Rifà, J.; Zinoviev, V. A.
2006
Vasil’ev codes of length $$n=2^m$$ and doubling of Steiner systems $$S(n,4,3)$$ of a given rank. Zbl 1096.94046
Zinoviev, V. A.; Zinoviev, D. V.
2006
Binary extended perfect codes of length 16 by the generalized concatenated construction. Zbl 1027.94030
Zinov’ev, V. A.; Zinov’ev, D. V.
2002
New lower bounds for contact numbers in small dimensions. Zbl 0983.94057
Zinov’ev, V. A.; Ericson, T.
1999
On the equivalence of certain constant weight codes and combinatorial designs. Zbl 0913.94014
Zinoviev, Victor A.
1996
On several new projective curves over $$F_ 2$$ of genus 3, 4, and 5. Zbl 0853.11052
Moreno, Oscar; Zinoviev, Dmitrii; Zinoviev, Victor
1995
Methods of code lengthening. Zbl 0528.94016
Zinov’ev, V. A.; Litsyn, S. N.
1982
Codes with an unequal protection of information symbols. Zbl 0423.94022
Zinov’ev, V. A.; Zyablov, V. V.
1979
Bounds for codes with an unequal protection of two sets of messages. Zbl 0423.94021
Bassalygo, L. A.; Zinov’ev, V. A.; Zyablov, V. V.; Pinsker, M. S.; Poltyrev, G. Sh.
1979
On $$q$$-ary codes with two distances $$d$$ and $$d + 1$$. Zbl 07214047
Boyvalenkov, P.; Delchev, K.; Zinoviev, D. V.; Zinoviev, V. A.
2020
On completely regular codes. Zbl 1452.94133
Borges, J.; Rifà, J.; Zinov’ev, V. A.
2019
About non equivalent completely regular codes with identical intersection array. Zbl 1439.94098
Rifà, J.; Zinoviev, V. A.
2017
On Kloosterman sums over finite fields of characteristic 3. Zbl 1365.11125
Bassalygo, L. A.; Zinoviev, V. A.
2017
Non-full-rank Steiner quadruple systems $$S(v,4,3)$$. Zbl 1308.05023
Zinoviev, V. A.; Zinoviev, D. V.
2014
On a family of binary completely transitive codes with growing covering radius. Zbl 1339.94092
Rifà, Josep; Zinoviev, Victor A.
2014
Steiner systems $$S(v, k, k - 1)$$: components and rank. Zbl 1236.05029
Zinoviev, V. A.; Zinoviev, D. V.
2011
Binary perfect and extended perfect codes of lengths 15 and 16 and of ranks 13 and 14. Zbl 1204.94104
Zinoviev, V. A.; Zinoviev, D. V.
2010
Polynomials of special form over a finite field with an exact value of the trigonometric sum. Zbl 1314.11074
Bassalygo, L. A.; Zinov’ev, V. A.
2007
On weight distributions of shifts of Goethals-like codes. Zbl 1112.94032
Zinoviev, V. A.; Helleseth, T.
2004
On polynomials over a finite field of even characteristic with maximum absolute value of the trigonometric sum. Zbl 1043.11080
Bassalygo, L. A.; Zinov’ev, V. A.
2002
On completely regular binary codes and $$t$$-designs. Zbl 1171.94369
Borges, J.; Rifá, J.; Zinoviev, V. A.
2001
On binary cyclic codes with codewords of weight three and binary sequences with the trinomial property. Zbl 1003.94033
Charpin, Pascale; Tietäväinen, Aimo; Zinoviev, Victor
2001
On $$\mathbb Z_4$$-linear Goethals codes, Kloosterman sums and Dickson polynomials. Zbl 1063.94544
Helleseth, Tor; Zinoviev, Victor
2000
Constructions of perfect binary nonlinear codes. Zbl 0986.94040
Zinoviev, V. A.; Lobstein, A. C.
1998
Three-regular subgraphs of four-regular graphs. Zbl 0907.05048
Moreno, Oscar; Zinoviev, Victor A.
1998
On new perfect binary nonlinear codes. Zbl 0887.94013
Lobstein, A. C.; Zinoviev, V. A.
1997
Some sufficient conditions for 4-regular graphs to have 3-regular subgraphs. Zbl 0949.05517
Moreno, O.; Zinoviev, V. A.
1994
Spherical codes from the hexagonal lattice. Zbl 0925.94105
Ericson, Thomas; Zinoviev, Victor
1994
On spherical codes generating the kissing number in dimensions 8 and 24. Zbl 0760.94015
Ericson, Thomas; Zinoviev, Victor
1992
The concatenation method for constructing spherical codes in $$n$$-dimensional Euclidean space. Zbl 0752.94015
Dodunekov, S. M.; Zinov’ev, V. A.; Ericson, T.
1991
Concatenated codes in Euclidean space. Zbl 0683.94015
Zinov’ev, V. A.; Litsyn, S. N.; Portnoĭ, S. L.
1989
A lower estimate of complete trigonometric sums in terms of multiple sums. Zbl 0662.12020
Bassalygo, L. A.; Zinov’ev, V. A.; Litsyn, S. N.
1988
On concatenated equilibrium codes exceeding the Varshamov-Gilbert bound. Zbl 0635.94019
Zinov’ev, V. A.; Erikson, T.
1987
Nonexistence of perfect codes over some composite alphabets. Zbl 0326.94008
Bassalygo, L. A.; Zinov’ev, V. A.; Leont’ev, V. K.; Fel’dman, N. I.
1975
On perfect codes. Zbl 0265.94005
Zinov’ev, V. A.; Leont’ev, V. K.
1972
On $$q$$-ary codes with two distances $$d$$ and $$d + 1$$. Zbl 07214047
Boyvalenkov, P.; Delchev, K.; Zinoviev, D. V.; Zinoviev, V. A.
2020
On completely regular codes. Zbl 1452.94133
Borges, J.; Rifà, J.; Zinov’ev, V. A.
2019
Completely regular codes by concatenating Hamming codes. Zbl 1414.94943
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor
2018
Remark on balanced incomplete block designs, near-resolvable block designs, and $$q$$-ary constant-weight codes. Zbl 1387.94128
Bassalygo, L. A.; Zinov’ev, V. A.
2017
Completely regular codes with different parameters giving the same distance-regular coset graphs. Zbl 1361.05039
Rifà, J.; Zinoviev, V. A.
2017
About non equivalent completely regular codes with identical intersection array. Zbl 1439.94098
Rifà, J.; Zinoviev, V. A.
2017
On Kloosterman sums over finite fields of characteristic 3. Zbl 1365.11125
Bassalygo, L. A.; Zinoviev, V. A.
2017
Permutation and complete permutation polynomials. Zbl 1368.11126
Bassalygo, L. A.; Zinoviev, V. A.
2015
One class of permutation polynomials over finite fields of even characteristic. Zbl 1393.11079
Bassalygo, L. A.; Zinoviev, V. A.
2015
Families of nested completely regular codes and distance-regular graphs. Zbl 1361.94061
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor A.
2015
Families of completely transitive codes and distance transitive graphs. Zbl 1357.94097
Borges, J.; Rifà, J.; Zinoviev, V. A.
2014
New families of completely regular codes and their corresponding distance regular coset graphs. Zbl 1315.94137
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor
2014
Non-full-rank Steiner quadruple systems $$S(v,4,3)$$. Zbl 1308.05023
Zinoviev, V. A.; Zinoviev, D. V.
2014
On a family of binary completely transitive codes with growing covering radius. Zbl 1339.94092
Rifà, Josep; Zinoviev, Victor A.
2014
Structure of Steiner triple systems $$S(2^m-1,3,2)$$ of rank $$2^m-m+2$$ over $$\mathbb F_2$$. Zbl 1308.05025
Zinoviev, V. A.; Zinoviev, D. V.
2013
Remark on “Steiner triple systems $$S(2^m-1,3,2)$$ of rank $$2^m-m+1$$ over $$\mathbb F_2$$”. Zbl 1276.05013
Zinoviev, V. A.; Zinoviev, D. V.
2013
On divisibility of exponential sums of polynomials of special type over fields of characteristic 2. Zbl 1294.11213
Bassalygo, L. A.; Zinoviev, V. A.
2013
Steiner triple systems $$S(2^m-1,3,2)$$ of rank $$2^m-m+1$$ over $$\mathbb F_2$$. Zbl 1274.05045
Zinoviev, V. A.; Zinoviev, D. V.
2012
On lifting perfect codes. Zbl 1365.94528
Rifà, Josep; Zinoviev, Victor A.
2011
Steiner systems $$S(v, k, k - 1)$$: components and rank. Zbl 1236.05029
Zinoviev, V. A.; Zinoviev, D. V.
2011
On $$q$$-ary linear completely regular codes with $$\rho=2$$ and antipodal dual. Zbl 1213.94192
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor A.
2010
New completely regular $$q$$-ary codes based on Kronecker products. Zbl 1366.94736
Rifà, Josep; Zinoviev, Victor A.
2010
Binary perfect and extended perfect codes of lengths 15 and 16 and of ranks 13 and 14. Zbl 1204.94104
Zinoviev, V. A.; Zinoviev, D. V.
2010
Divisibility properties of classical binary Kloosterman sums. Zbl 1229.11154
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
2009
Fourier-invariant pairs of partitions of finite Abelian groups and association schemes. Zbl 1202.94217
Zinov’ev, V. A.; Ericson, T.
2009
On a class of binary linear completely transitive codes with arbitrary covering radius. Zbl 1176.94073
Rifà, J.; Zinoviev, V. A.
2009
On one transformation of Steiner quadruple systems $$S(\upsilon , 4, 3)$$. Zbl 1201.05012
Zinoviev, V. A.; Zinoviev, D. V.
2009
On non-antipodal binary completely regular codes. Zbl 1141.94013
Borges, J.; Rifà, J.; Zinoviev, V. A.
2008
On cosets of weight 4 of $$\text{BCH}(2^m,8)$$, $$m$$ even, and exponential sums. Zbl 1245.11123
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
2008
The divisibility modulo 24 of Kloosterman sums on $$\text{GF}(2^m)$$, $$m$$ odd. Zbl 1112.11055
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
2007
Propagation characteristics of $$x\mapsto x^{-1}$$ and Kloosterman sums. Zbl 1148.11041
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor
2007
On the construction of $$q$$-ary equidistant codes. Zbl 1213.94168
Bogdanova, G. T.; Zinov’ev, V. A.; Todorov, T. J.
2007
On new completely regular $$q$$-ary codes. Zbl 1140.94378
Zinoviev, V. A.; Rifà, J.
2007
On resolvability of Steiner systems $$S ( v = 2^{ m }, 4, 3)$$ of rank $$r \leq v - m + 1$$ over $$\mathbb{F}_{2}$$. Zbl 1236.05036
Zinoviev, V. A.; Zinoviev, D. V.
2007
Polynomials of special form over a finite field with an exact value of the trigonometric sum. Zbl 1314.11074
Bassalygo, L. A.; Zinov’ev, V. A.
2007
Classification of Steiner quadruple systems of order 16 and rank 14. Zbl 1236.05030
Zinoviev, V. A.; Zinoviev, D. V.
2006
The Grey-Rankin bound for nonbinary codes. Zbl 1237.94148
Bassalygo, L. A.; Dodunekov, S. M.; Zinoviev, V. A.; Helleseth, T.
2006
Binary extended perfect codes of length 16 and rank 14. Zbl 1237.94132
Zinoviev, V. A.; Zinoviev, D. V.
2006
The coset distribution of triple-error-correcting binary primitive BCH codes. Zbl 1184.94274
Charpin, Pascale; Helleseth, Tor; Zinoviev, Victor A.
2006
Construction of new completely regular $$q$$-ary codes from perfect $$q$$-ary codes. Zbl 1168.94520
Rifà, J.; Zinoviev, V. A.
2006
Vasil’ev codes of length $$n=2^m$$ and doubling of Steiner systems $$S(n,4,3)$$ of a given rank. Zbl 1096.94046
Zinoviev, V. A.; Zinoviev, D. V.
2006
On cosets of weight 4 of binary BCH codes with minimum distance 8 and exponential sums. Zbl 1102.94028
Zinoviev, V. A.; Helleseth, T.; Charpin, P.
2005
Classification of Steiner quadruple systems of order 16 and rank at most 13. Zbl 1077.05015
Zinoviev, V. A.; Zinoviev, D. V.
2004
Binary perfect codes of length 15 by the generalized concatenated construction. Zbl 1084.94022
Zinoviev, V. A.; Zinoviev, D. V.
2004
On a new identity for Kloosterman sums and nonlinear system of equations over finite fields of characteristic 2. Zbl 1048.11096
Helleseth, Tor; Zinoviev, Victor
2004
On weight distributions of shifts of Goethals-like codes. Zbl 1112.94032
Zinoviev, V. A.; Helleseth, T.
2004
New Kloosterman sums identities over $$\mathbb F_{2^m}$$ for all $$m$$. Zbl 1081.11077
Helleseth, Tor; Zinoviev, Victor
2003
On $$\mathbb Z_4$$-linear Preparata-like and Kerdock-like code. Zbl 1282.94092
Borges, Joaquim; Phelps, Kevin T.; Rifà, Josep; Zinoviev, Victor A.
2003
Binary extended perfect codes of length 16 by the generalized concatenated construction. Zbl 1027.94030
Zinov’ev, V. A.; Zinov’ev, D. V.
2002
On polynomials over a finite field of even characteristic with maximum absolute value of the trigonometric sum. Zbl 1043.11080
Bassalygo, L. A.; Zinov’ev, V. A.
2002
Codes on Euclidean spheres. Zbl 0985.94050
Ericson, Thomas; Zinoviev, Victor
2001
Nonexistence of completely transitive codes with error-correcting capability $$e>3$$. Zbl 1017.94015
Borges, Joaquim; Rifà, Josep; Zinoviev, Victor
2001
On coset weight distributions of the $$\mathbb{Z}_4$$-linear Goethals codes. Zbl 0998.94023
Helleseth, Tor; Zinoviev, Victor
2001
Codes with the same coset weight distributions as the $$\mathbb{Z}_4$$-linear Goethals codes. Zbl 0998.94022
Helleseth, Tor; Zinoviev, Victor
2001
On completely regular binary codes and $$t$$-designs. Zbl 1171.94369
Borges, J.; Rifá, J.; Zinoviev, V. A.
2001
On binary cyclic codes with codewords of weight three and binary sequences with the trinomial property. Zbl 1003.94033
Charpin, Pascale; Tietäväinen, Aimo; Zinoviev, Victor
2001
On generalized concatenated constructions of perfect binary nonlinear codes. Zbl 1004.94033
Zinoviev, V. A.; Lobstein, A. C.
2000
On $$\mathbb Z_4$$-linear Goethals codes, Kloosterman sums and Dickson polynomials. Zbl 1063.94544
Helleseth, Tor; Zinoviev, Victor
2000
On $$\mathbb{Z}_4$$-linear Goethals codes and Kloosterman sums. Zbl 0951.11026
Helleseth, Tor; Zinoviev, Victor
1999
On the minimum distances of non-binary cyclic codes. Zbl 0941.94020
Charpin, Pascale; Tietäväinen, Aimo; Zinoviev, Victor
1999
New lower bounds for contact numbers in small dimensions. Zbl 0983.94057
Zinov’ev, V. A.; Ericson, T.
1999
Codes, bent functions and permutations suitable for DES-like cryptosystems. Zbl 0938.94011
Carlet, Claude; Charpin, Pascale; Zinoviev, Victor
1998
Constructions of perfect binary nonlinear codes. Zbl 0986.94040
Zinoviev, V. A.; Lobstein, A. C.
1998
Three-regular subgraphs of four-regular graphs. Zbl 0907.05048
Moreno, Oscar; Zinoviev, Victor A.
1998
On binary cyclic codes with minimum distance $$d=3$$. Zbl 1038.94562
Charpin, P.; Tietäväinen, A.; Zinov’ev, V.
1997
On coset weight distributions of the 3-error-correcting BCH-codes. Zbl 0870.94043
Charpin, Pascale; Zinoviev, Victor
1997
$$F$$-partitions of cyclic groups. Zbl 0893.20039
Ericson, Thomas; Simonis, Juriaan; Tarnanen, Hannu; Zinoviev, Victor
1997
On new perfect binary nonlinear codes. Zbl 0887.94013
Lobstein, A. C.; Zinoviev, V. A.
1997
On Fourier-invariant partitions of finite Abelian groups and the MacWilliams identity for group codes. Zbl 0898.20031
Zinov’ev, V. A.; Ericson, T.
1996
On the equivalence of certain constant weight codes and combinatorial designs. Zbl 0913.94014
Zinoviev, Victor A.
1996
New constructions of optimal cyclically permutable constant weight codes. Zbl 0827.94033
Moreno, Oscar; Zhang, Zhen; Kumar, P. Vijay; Zinoviev, Victor A.
1995
Spherical codes generated by binary partitions of symmetric pointsets. Zbl 0838.94016
Ericson, Thomas; Zinoviev, Victor
1995
On several new projective curves over $$F_ 2$$ of genus 3, 4, and 5. Zbl 0853.11052
Moreno, Oscar; Zinoviev, Dmitrii; Zinoviev, Victor
1995
Some sufficient conditions for 4-regular graphs to have 3-regular subgraphs. Zbl 0949.05517
Moreno, O.; Zinoviev, V. A.
1994
Spherical codes from the hexagonal lattice. Zbl 0925.94105
Ericson, Thomas; Zinoviev, Victor
1994
Universal code families. Zbl 0804.94014
Zinov’ev, V. A.; Katsman, G. L.
1993
On spherical codes generating the kissing number in dimensions 8 and 24. Zbl 0760.94015
Ericson, Thomas; Zinoviev, Victor
1992
The concatenation method for constructing spherical codes in $$n$$-dimensional Euclidean space. Zbl 0752.94015
Dodunekov, S. M.; Zinov’ev, V. A.; Ericson, T.
1991
Concatenated codes in Euclidean space. Zbl 0683.94015
Zinov’ev, V. A.; Litsyn, S. N.; Portnoĭ, S. L.
1989
A lower estimate of complete trigonometric sums in terms of multiple sums. Zbl 0662.12020
Bassalygo, L. A.; Zinov’ev, V. A.; Litsyn, S. N.
1988
An improvement of the Gilbert bound for constant weight codes. Zbl 0635.94018
Ericson, Thomas; Zinov’ev, V. A.
1987
On concatenated equilibrium codes exceeding the Varshamov-Gilbert bound. Zbl 0635.94019
Zinov’ev, V. A.; Erikson, T.
1987
Cascade equal-weight codes and maximal packings. Zbl 0529.94013
Zinoviev, V. A.
1983
Minimum-check-density codes for correcting bytes of errors, erasures, or defects. Zbl 0539.94021
Zaĭtsev, G. V.; Zinov’ev, V. A.; Semakov, N. V.
1983
Methods of code lengthening. Zbl 0528.94016
Zinov’ev, V. A.; Litsyn, S. N.
1982
Codes with an unequal protection of information symbols. Zbl 0423.94022
Zinov’ev, V. A.; Zyablov, V. V.
1979
Bounds for codes with an unequal protection of two sets of messages. Zbl 0423.94021
Bassalygo, L. A.; Zinov’ev, V. A.; Zyablov, V. V.; Pinsker, M. S.; Poltyrev, G. Sh.
1979
Some new maximal codes over the Galois field $$\text{GF}(4)$$. Zbl 0396.94011
Dumer, I. I.; Zinov’ev, V. A.
1978
A note on uniformly-packed codes. Zbl 0403.94016
Bassalygo, L. A.; Zinov’ev, V. A.
1977
Generalized concatenated codes. Zbl 0356.94011
Zinov’ev, V. A.
1976
Nonexistence of perfect codes over some composite alphabets. Zbl 0326.94008
Bassalygo, L. A.; Zinov’ev, V. A.; Leont’ev, V. K.; Fel’dman, N. I.
1975
On uniformly close-packed codes. Zbl 0317.94016
Bassalygo, L. A.; Zaĭtsev, G. V.; Zinov’ev, V. A.
1974
Interrelation of Preparata and Hamming codes and extension of Hamming codes to new double-error-correcting codes. Zbl 0386.94010
Zaitsev, G. V.; Zinovjev, V. A.; Semakov, N. V.
1973
On perfect codes. Zbl 0265.94005
Zinov’ev, V. A.; Leont’ev, V. K.
1972
Uniformly close-packed codes. Zbl 0306.94009
Semakov, N. V.; Zinov’ev, V. A.; Zaĭtsev, G. V.
1971
Balanced codes and tactical configurations. Zbl 0295.94022
Semakov, N. V.; Zinov’ev, V. A.
1969
On a class of maximal equidistant codes. Zbl 0295.94023
Semakov, N. V.; Zinov’ev, V. A.; Zaĭtsev, G. V.
1969
Complete and quasi-complete balanced codes. Zbl 0295.94021
Semakov, N. V.; Zinov’ev, V. A.
1969
Equidistant $$q$$-ary codes with maximal distance and resolvable balanced incomplete block designs. Zbl 0278.94007
Semakov, N. V.; Zinov’ev, V. A.
1968
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#### Cited by 533 Authors

 45 Zinov’ev, Viktor Aleksandrovich 18 Zeng, Xiangyong 17 Helleseth, Tor 16 Zinov’ev, Dmitriĭ Viktorovich 15 Rifà, Josep 14 Hu, Lei 13 Carlet, Claude 11 Budaghyan, Lilya 11 Cao, Xiwang 11 Ding, Cunsheng 11 Zha, Zhengbang 10 Mesnager, Sihem 10 Solov’eva, Faina Ivanovna 9 Krotov, Denis S. 9 Mogilnykh, Ivan Yurevich 9 Tang, Chunming 8 Bassalygo, Leonid A. 8 Borges, Joaquim 8 Qu, Longjiang 7 Charpin, Pascale 7 Gillespie, Neil I. 7 Li, Chunlei 7 Östergård, Patric R. J. 6 Hou, Xiang-Dong 6 Li, Nian 6 Li, Yongqiang 6 Praeger, Cheryl Elisabeth 6 Tonchev, Vladimir D. 6 Xu, Guangkui 5 Bracken, Carl 5 Göloğlu, Faruk 5 Gorodilova, Anastasiya A. 5 Hollmann, Henk D. L. 5 Kaski, Petteri 5 Li, Chao 5 McGuire, Gary 5 Peng, Jie 5 Pott, Alexander 5 Qi, Yanfeng 5 Tan, Yin 5 Topalova, Svetlana Todorova 5 Tu, Ziran 4 Byrne, Eimear 4 Calderini, Marco 4 Canteaut, Anne 4 Castro, Francis Noel 4 Edel, Yves 4 Ge, Gennian 4 Gluesing-Luerssen, Heide 4 Hawtin, Daniel R. 4 Horadam, Kathy J. 4 Kyureghyan, Gohar M. 4 Leander, Gregor 4 Pasalic, Enes 4 Perrin, Léo 4 Solé, Patrick 4 Tan, Chik How 4 Villa, Irene 4 Wang, Mingsheng 4 Xiang, Qing 4 Xu, Shanding 4 Yue, Qin 4 Zhou, Yue 3 Bannai, Eiichi 3 Bannai, Etsuko 3 Bartoli, Daniele 3 Bierbrauer, Jürgen 3 Bluskov, Iliya 3 Boyvalenkov, Peter G. 3 Calderbank, Arthur Robert 3 Chen, Xi 3 Danev, Danyo P. 3 Delgado Olortegui, Moises R. 3 Dodunekov, Stefan Manev 3 Fan, Cuiling 3 Feng, Xiutao 3 Férard, Éric 3 Giulietti, Massimo 3 Heng, Ziling 3 Jungnickel, Dieter 3 Kaleyski, Nikolay S. 3 Li, Chengju 3 Li, Kangquan 3 Li, Lisha 3 Lisoněk, Petr 3 Moisio, Marko J. 3 Rodier, François 3 Stănică, Pantelimon 3 Suder, Valentin 3 Sun, Siwei 3 Valyuzhenich, Aleksandr Andreevich 3 Villanueva, Mercè 3 Wang, Libo 3 Wu, Baofeng 3 Wu, Chuankun 3 Xiong, Maosheng 3 Zheng, Dabin 3 Zhu, Mingzhi 3 Zhu, Xishun 2 Alderson, Tim L. ...and 433 more Authors
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#### Cited in 75 Serials

 87 Designs, Codes and Cryptography 81 Finite Fields and their Applications 52 Discrete Mathematics 35 Problems of Information Transmission 32 Cryptography and Communications 16 Applicable Algebra in Engineering, Communication and Computing 15 Discrete Applied Mathematics 15 Advances in Mathematics of Communications 14 Journal of Combinatorial Theory. Series A 9 Journal of Combinatorial Designs 8 European Journal of Combinatorics 7 Journal of Algebraic Combinatorics 7 Prikladnaya Diskretnaya Matematika 5 Science China. Mathematics 4 Mathematical Notes 4 Mathematics of Computation 4 Journal of Statistical Planning and Inference 3 Journal of Number Theory 3 International Journal of Foundations of Computer Science 3 Linear Algebra and its Applications 2 Combinatorica 2 Graphs and Combinatorics 2 Information and Computation 2 SIAM Journal on Discrete Mathematics 2 International Journal of Computer Mathematics 2 Expositiones Mathematicae 2 Experimental Mathematics 2 Mathematical Problems in Engineering 2 Wuhan University Journal of Natural Sciences (WUJNS) 2 Journal of Algebra and its Applications 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 2 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Bulletin of the Australian Mathematical Society 1 Information Processing Letters 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Nuclear Physics. B 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Information Sciences 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Journal of Pure and Applied Algebra 1 Theoretical Computer Science 1 Note di Matematica 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Algorithmica 1 Discrete & Computational Geometry 1 Journal of Cryptology 1 Discrete Mathematics and Applications 1 Chinese Science Bulletin 1 SIAM Journal on Optimization 1 The Journal of Analysis 1 Applied and Computational Harmonic Analysis 1 Turkish Journal of Mathematics 1 The Electronic Journal of Combinatorics 1 Geometry & Topology 1 Annals of Combinatorics 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics and Computing 1 AKCE International Journal of Graphs and Combinatorics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Sarajevo Journal of Mathematics 1 Journal of Shanghai Jiaotong University (Science) 1 Chebyshevskiĭ Sbornik 1 Proceedings of the Steklov Institute of Mathematics 1 Asian-European Journal of Mathematics 1 Ars Mathematica Contemporanea 1 São Paulo Journal of Mathematical Sciences 1 Science China. Information Sciences 1 International Journal of Group Theory
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#### Cited in 23 Fields

 325 Information and communication theory, circuits (94-XX) 220 Number theory (11-XX) 152 Combinatorics (05-XX) 38 Order, lattices, ordered algebraic structures (06-XX) 29 Geometry (51-XX) 28 Field theory and polynomials (12-XX) 22 Group theory and generalizations (20-XX) 18 Algebraic geometry (14-XX) 12 Computer science (68-XX) 11 Convex and discrete geometry (52-XX) 8 Associative rings and algebras (16-XX) 6 Operations research, mathematical programming (90-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Numerical analysis (65-XX) 2 Commutative algebra (13-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)