Faina I. Solov'eva

According to our database1, Faina I. Solov'eva authored at least 55 papers between 2000 and 2023.

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Bibliography

2023
Constructions and Invariants of Optimal Codes in the Lee Metric.
Probl. Inf. Transm., July, 2023

2022
Partitions into Perfect Codes in the Hamming and Lee Metrics.
Probl. Inf. Transm., 2022

On Weight Distributions for a Class of Codes with Parameters of Reed-Muller Codes.
Probl. Inf. Transm., 2022

2021
On Intersections of Reed-Muller Like Codes.
Probl. Inf. Transm., 2021

Quaternary Reed - Muller codes and their minimum weight bases.
Proceedings of the XVII International Symposium "Problems of Redundancy in Information and Control Systems", 2021

2020
On Bases of BCH Codes with Designed Distance 3 and Their Extensions.
Probl. Inf. Transm., 2020

On existence of perfect bitrades in Hamming graphs.
Discret. Math., 2020

On components of the Kerdock codes and the dual of the BCH code C1, 3.
Discret. Math., 2020

Coordinate transitivity of extended perfect codes and their SQS.
CoRR, 2020

Single orbit affine generators for extended BCH codes with designed distance three.
Proceedings of the Algebraic and Combinatorial Coding Theory, 2020

2019
Editorial: Special issue on coding and cryptography.
Des. Codes Cryptogr., 2019

A concatenation construction for propelinear perfect codes from regular subgroups of GA(r, 2).
CoRR, 2019

On transitive uniform partitions of F^n into binary Hamming codes.
CoRR, 2019

2018
On explicit minimum weight bases for extended cyclic codes related to Gold functions.
Des. Codes Cryptogr., 2018

On components of a Kerdock code and the dual of the BCH code C<sub>1, 3</sub>.
CoRR, 2018

2017
Propelinear codes related to some classes of optimal codes.
Probl. Inf. Transm., 2017

2016
On the symmetry group of the Mollard code.
Probl. Inf. Transm., 2016

2015
On separability of the classes of homogeneous and transitive perfect binary codes.
Probl. Inf. Transm., 2015

Transitive nonpropelinear perfect codes.
Discret. Math., 2015

Self-embeddings of Hamming Steiner triple systems of small order and APN permutations.
Des. Codes Cryptogr., 2015

Erratum to: Intersection of Hamming codes avoiding Hamming subcodes.
Des. Codes Cryptogr., 2015

On maximum components of a class of perfect codes.
CoRR, 2015

2013
Editorial.
Des. Codes Cryptogr., 2013

On the Number of Nonequivalent Propelinear Extended Perfect Codes.
Electron. J. Comb., 2013

Biembeddings of small order hamming STS(n) and APN monomial power permutations.
Proceedings of the 2013 IEEE International Symposium on Information Theory, 2013

Rank spectrum of propelinear perfect binary codes.
Proceedings of the 2013 IEEE International Symposium on Information Theory, 2013

2012
Intersection of Hamming codes avoiding Hamming subcodes.
Des. Codes Cryptogr., 2012

Ranks of propelinear perfect binary codes
CoRR, 2012

Properties of perfect transitive binary codes of length 15 and extended perfect transitive binary codes of length 16
CoRR, 2012

Structural properties of binary propelinear codes.
Adv. Math. Commun., 2012

2009
On the Intersection of BBZ<sub>2</sub>BBZ<sub>4</sub>-Additive Hadamard Codes.
IEEE Trans. Inf. Theory, 2009

Construction of BBZ<sub>4</sub>-Linear Reed-Muller Codes.
IEEE Trans. Inf. Theory, 2009

Reconstructing extended perfect binary one-error-correcting codes from their minimum distance graphs.
IEEE Trans. Inf. Theory, 2009

On transitive partitions of an <i>n</i>-cube into codes.
Probl. Inf. Transm., 2009

Partitions of F<sup><i>n</i></sup> into non-parallel Hamming codes.
Adv. Math. Commun., 2009

2008
On the Intersection of Z<sub>2</sub>Z<sub>4</sub>-Additive Perfect Codes.
IEEE Trans. Inf. Theory, 2008

On perfect binary codes.
Discret. Appl. Math., 2008

Construction of Z4-linear Reed-Muller codes
CoRR, 2008

A Diametric Theorem in Z <sup>n</sup><sub>m</sub> for Lee and Related Distances.
Proceedings of the Coding Theory and Applications, Second International Castle Meeting, 2008

2007
Tilings of nonorientable surfaces by Steiner triple systems.
Probl. Inf. Transm., 2007

On ℤ<sub>4</sub>-linear codes with the parameters of Reed-Muller codes.
Probl. Inf. Transm., 2007

On partitions of an <i>n</i>-cube into nonequivalent perfect codes.
Probl. Inf. Transm., 2007

Quaternary Plotkin Constructions and Quaternary Reed-Muller Codes.
Proceedings of the Applied Algebra, 2007

2006
On Intersection Problem for Perfect Binary Codes.
Des. Codes Cryptogr., 2006

On the intersection of additive perfect codes
CoRR, 2006

Designs and Perfect Codes.
Proceedings of the General Theory of Information Transfer and Combinatorics, 2006

2005
On the Construction of Transitive Codes.
Probl. Inf. Transm., 2005

On the Structure of Symmetry Groups of Vasil'ev Codes.
Probl. Inf. Transm., 2005

2004
The Classification of Some Perfect Codes.
Des. Codes Cryptogr., 2004

2003
On the Ranks and Kernels Problem for Perfect Codes.
Probl. Inf. Transm., 2003

To the Metrical Rigidity of Binary Codes.
Probl. Inf. Transm., 2003

2001
Intersection matrices for partitions by binary perfect codes.
IEEE Trans. Inf. Theory, 2001

On the metrical rigidity of binary codes.
Electron. Notes Discret. Math., 2001

Structure of i-components of perfect binary codes.
Discret. Appl. Math., 2001

2000
Perfect binary codes: bounds and properties.
Discret. Math., 2000


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