2024
An upper bound on the number of frequency hypercubes.
Discret. Math., January, 2024
2023
A family of diameter perfect constant-weight codes from Steiner systems.
J. Comb. Theory, Ser. A, November, 2023
Projective tilings and full-rank perfect codes.
Des. Codes Cryptogr., October, 2023
Quasi-Cyclic Perfect Codes in Doob Graphs and Special Partitions of Galois Rings.
IEEE Trans. Inf. Theory, September, 2023
An enumeration of 1-perfect ternary codes.
Discret. Math., July, 2023
Self-Dual Hadamard Bent Sequences.
J. Syst. Sci. Complex., April, 2023
Self-dual bent sequences for complex Hadamard matrices.
Des. Codes Cryptogr., April, 2023
Perfect and Related Codes.
Dataset, February, 2023
On the existence of some completely regular codes in Hamming graphs.
CoRR, 2023
On degree-3 and (n-4)-correlation-immune perfect colorings of n-cubes.
CoRR, 2023
The classification of orthogonal arrays OA(2048, 14, 2, 7) and some completely regular codes.
CoRR, 2023
Perfect Colorings of the Infinite Square Grid: Coverings and Twin Colors.
Electron. J. Comb., 2023
2022
Extended 1-perfect unitrades of length 10.
Dataset, May, 2022
On q-Ary Shortened-1-Perfect-Like Codes.
IEEE Trans. Inf. Theory, 2022
On the coset graph construction of distance-regular graphs.
Discret. Math., 2022
Multifold 1-perfect codes.
CoRR, 2022
Constructing MRD codes by switching.
CoRR, 2022
2021
On Multifold Packings of Radius-1 Balls in Hamming Graphs.
IEEE Trans. Inf. Theory, 2021
2020
A New Approach to the Kasami Codes of Type 2.
IEEE Trans. Inf. Theory, 2020
The Existence of Perfect Codes in Doob Graphs.
IEEE Trans. Inf. Theory, 2020
Steiner Triple Systems of Order 21 with a Transversal Subdesign TD(3, 6).
Probl. Inf. Transm., 2020
On the OA(1536, 13, 2, 7) and related orthogonal arrays.
Discret. Math., 2020
On the number of resolvable Steiner triple systems of small 3-rank.
Des. Codes Cryptogr., 2020
On extended 1-perfect bitrades.
CoRR, 2020
[[2, 10], [6, 6]]-equitable partitions of the 12-cube.
CoRR, 2020
On minimal subspace Zp-null designs.
CoRR, 2020
On the number of frequency hypercubes F<sup>n</sup>(4;2, 2).
CoRR, 2020
On Unbalanced Boolean Functions with Best Correlation Immunity.
Electron. J. Comb., 2020
On the Volumes and Affine Types of Trades.
Electron. J. Comb., 2020
2019
On $Z_p Z_{p^k}$ -Additive Codes and Their Duality.
IEEE Trans. Inf. Theory, 2019
On the Cardinality Spectrum and the Number of Latin Bitrades of Order 3.
Probl. Inf. Transm., 2019
Correction to: A new distance-regular graph of diameter 3 on 1024 vertices.
Des. Codes Cryptogr., 2019
A new distance-regular graph of diameter 3 on 1024 vertices.
Des. Codes Cryptogr., 2019
Additive perfect codes in Doob graphs.
Des. Codes Cryptogr., 2019
On the orthogonal arrays of parameters OA(1536, 13, 2, 7) and related.
CoRR, 2019
The Steiner triple systems of order 21 with a transversal subdesign TD(3, 6).
CoRR, 2019
On the number of autotopies of an n-ary qusigroup of order 4.
CoRR, 2019
The punctured Dodecacode is uniformly packed.
Proceedings of the IEEE International Symposium on Information Theory, 2019
On two-fold packings of radius-1 balls in Hamming graphs.
Proceedings of the IEEE International Symposium on Information Theory, 2019
On (2n/3 - 1)-Resilient (n, 2)-Functions.
Proceedings of the IEEE International Symposium on Information Theory, 2019
On Dual Codes in the Doob Schemes.
Proceedings of the IEEE International Symposium on Information Theory, 2019
2018
Distance-2 MDS Codes and Latin Colorings in the Doob Graphs.
Graphs Comb., 2018
On completely regular codes of covering radius 1 in the halved hypercubes.
CoRR, 2018
On the gaps of the spectrum of volumes of trades.
CoRR, 2018
On Z<sub>p</sub>Z<sub>p<sup>k</sup></sub>-additive codes and their duality.
CoRR, 2018
2017
Erratum to: "MDS codes in Doob graphs".
Probl. Inf. Transm., 2017
MDS codes in Doob graphs.
Probl. Inf. Transm., 2017
The minimum volume of subspace trades.
Discret. Math., 2017
The extended 1-perfect trades in small hypercubes.
Discret. Math., 2017
On the automorphism groups of the Z<sub>2</sub> Z<sub>4</sub> -linear 1-perfect and Preparata-like codes.
Des. Codes Cryptogr., 2017
2016
On perfect codes that do not contain Preparata-like codes.
Probl. Inf. Transm., 2016
Constructions of transitive latin hypercubes.
Eur. J. Comb., 2016
To the theory of q-ary Steiner and other-type trades.
Discret. Math., 2016
Perfect codes in Doob graphs.
Des. Codes Cryptogr., 2016
On the number of maximum independent sets in Doob graphs.
CoRR, 2016
On the Automorphism Groups of the Z2Z4-Linear 1-Perfect and Preparata-Like Codes.
CoRR, 2016
Non-existence of a ternary constant weight (16, 5, 15;2048) diameter perfect code.
Adv. Math. Commun., 2016
2015
Classification of the Z<sub>2</sub>Z<sub>4</sub>-Linear Hadamard Codes and Their Automorphism Groups.
IEEE Trans. Inf. Theory, 2015
On the Classification of MDS Codes.
IEEE Trans. Inf. Theory, 2015
Embedding in q-ary 1-perfect codes and partitions.
Discret. Math., 2015
On 1-perfect codes that do not include Preparata codes.
CoRR, 2015
2014
Propelinear 1-Perfect Codes From Quadratic Functions.
IEEE Trans. Inf. Theory, 2014
Classification of the Z2Z4-Linear Hadamard Codes and Their Automorphism Groups.
CoRR, 2014
Non-existence of a ternary constant weight $(16, 5, 15; 2048)$ diameter perfect code.
CoRR, 2014
On the Automorphism Groups of the \(\mathbb{Z}_{2}\mathbb{Z}_{4}\)-Linear Hadamard Codes and Their Classification.
Proceedings of the Coding Theory and Applications, 4th International Castle Meeting, 2014
Classification of MDS Codes over Small Alphabets.
Proceedings of the Coding Theory and Applications, 4th International Castle Meeting, 2014
2013
Construction of transitive MDS codes
CoRR, 2013
On calculation of the interweight distribution of an equitable partition
CoRR, 2013
Transitive 1-perfect codes from quadratic functions
CoRR, 2013
2012
On the binary codes with parameters of triply-shortened 1-perfect codes.
Des. Codes Cryptogr., 2012
A partition of the hypercube into cosets of maximally nonparallel Hamming codes
CoRR, 2012
2011
On Optimal Binary One-Error-Correcting Codes of Lengths 2<sup>m</sup>-4 and 2<sup>m</sup>-3.
IEEE Trans. Inf. Theory, 2011
On connection between reducibility of an n-ary quasigroup and that of its retracts.
Discret. Math., 2011
On weight distributions of perfect colorings and completely regular codes.
Des. Codes Cryptogr., 2011
On Optimal Binary One-Error-Correcting Codes of Lengths $2^m-4$ and $2^m-3$
CoRR, 2011
On the structure of non-full-rank perfect q-ary codes.
Adv. Math. Commun., 2011
2010
On switching equivalence of <i>n</i>-ary quasigroups of order 4 and perfect binary codes.
Probl. Inf. Transm., 2010
On the binary codes with parameters of doubly-shortened 1-perfect codes.
Des. Codes Cryptogr., 2010
On the structure of non-full-rank perfect codes
CoRR, 2010
2009
n-Ary Quasigroups of Order 4.
SIAM J. Discret. Math., 2009
On weight distributions of perfect structures
CoRR, 2009
2008
On the Number of 1-Perfect Binary Codes: A Lower Bound.
IEEE Trans. Inf. Theory, 2008
The Poset Metrics That Allow Binary Codes of Codimension m -, (m-1)-, or (m-2)-Perfect.
IEEE Trans. Inf. Theory, 2008
On irreducible n-ary quasigroups with reducible retracts.
Eur. J. Comb., 2008
On reducibility of n-ary quasigroups.
Discret. Math., 2008
On decomposability of 4-ary distance 2 MDS codes, double-codes, and n-quasigroups of order 4.
Discret. Math., 2008
On diameter perfect constant-weight ternary codes.
Discret. Math., 2008
Embedding in a perfect code
CoRR, 2008
On mobile sets in the binary hypercube
CoRR, 2008
2007
On Z<sub>2<sup>k</sup></sub>-Dual Binary Codes.
IEEE Trans. Inf. Theory, 2007
Z4-linear Hadamard and extended perfect codes
CoRR, 2007
The poset metrics that allow binary codes of codimension m to be m-, (m - 1)-, or (m - 2)-perfect.
Proceedings of the IEEE International Symposium on Information Theory, 2007
2004
On Multifold MDS and Perfect Codes That Are Not Splittable into Onefold Codes.
Probl. Inf. Transm., 2004
2001
Inductive Constructions of Perfect Ternary Constant-Weight Codes with Distance 3.
Probl. Inf. Transm., 2001
Z<sub>4</sub>-linear Hadamard and extended perfect codes.
Electron. Notes Discret. Math., 2001
