Thompson's Group and Public Key Cryptography. - Vladimir Shpilrain; Alexander Ushakov (ACNS, 2005)

A Practical Attack on a Braid Group Based Cryptographic Protocol. - Alexei G. Myasnikov; Vladimir Shpilrain; Alexander Ushakov (CRYPTO, 2005)

A new key exchange protocol based on the decomposition problem. - Vladimir Shpilrain; Alexander Ushakov (IACR Cryptol. ePrint Arch., 2005)

Random Subgroups of Braid Groups: An Approach to Cryptanalysis of a Braid Group Based Cryptographic Protocol. - Alexei G. Myasnikov; Vladimir Shpilrain; Alexander Ushakov (Public Key Cryptography, 2006)

The Conjugacy Search Problem in Public Key Cryptography: Unnecessary and Insufficient. - Vladimir Shpilrain; Alexander Ushakov (Appl. Algebra Eng. Commun. Comput., 2006)

Length Based Attack and Braid Groups: Cryptanalysis of Anshel-Anshel-Goldfeld Key Exchange Protocol. - Alex D. Myasnikov; Alexander Ushakov (Public Key Cryptography, 2007)

Report on Generic Case Complexity - Robert H. Gilman 001; Alexei G. Myasnikov; Alex D. Myasnikov; Alexander Ushakov (CoRR, 2007)

An Authentication Scheme Based on the Twisted Conjugacy Problem. - Vladimir Shpilrain; Alexander Ushakov (ACNS, 2008)

Cryptanalysis of the shifted conjugacy authentication protocol. - Jonathan Longrigg; Alexander Ushakov (J. Math. Cryptol., 2008)

Random subgroups and analysis of the length-based and quotient attacks. - Alexei G. Myasnikov; Alexander Ushakov (J. Math. Cryptol., 2008)

A Practical Attack on a Certain Braid Group Based Shifted Conjugacy Authentication Protocol. - Jonathan Longrigg; Alexander Ushakov (Groups Complex. Cryptol., 2009)

Cryptanalysis of the Anshel-Anshel-Goldfeld-Lemieux Key Agreement Protocol. - Alex D. Myasnikov; Alexander Ushakov (Groups Complex. Cryptol., 2009)

Mean-set attack: cryptanalysis of Sibert et al. authentication protocol. - Natalia Mosina; Alexander Ushakov (J. Math. Cryptol., 2010)

Strong law of large numbers on graphs and groups. - Natalia Mosina; Alexander Ushakov (Groups Complex. Cryptol., 2011)

Random van Kampen diagrams and algorithmic problems in groups. - Alexei G. Myasnikov; Alexander Ushakov (Groups Complex. Cryptol., 2011)

Efficient Algorithms for Highly Compressed Data: the Word Problem in Higman's Group is in P. - Volker Diekert; Jürn Laun; Alexander Ushakov (Int. J. Algebra Comput., 2012)

Power Circuits, exponential Algebra, and Time Complexity. - Alexei G. Myasnikov; Alexander Ushakov; Dong Wook Won (Int. J. Algebra Comput., 2012)

The Post correspondence problem in groups. - Alexei G. Myasnikov; Andrey Nikolaev; Alexander Ushakov (CoRR, 2013)

A Linear Algebra Attack to Group-Ring-Based Key Exchange Protocols. - Martin Kreuzer; Alexey D. Myasnikov; Alexander Ushakov (ACNS, 2014)

Quantum algorithm for discrete logarithm problem for matrices over finite group rings. - Alexey D. Myasnikov; Alexander Ushakov (Groups Complex. Cryptol., 2014)

Cryptanalysis of matrix conjugation schemes. - Alex D. Myasnikov; Alexander Ushakov (J. Math. Cryptol., 2014)

Non-commutative lattice problems. - Alexei G. Myasnikov; Andrey Nikolaev; Alexander Ushakov (CoRR, 2015)

A Linear Attack on a Key Exchange Protocol Using Extensions of Matrix Semigroups. - Jintai Ding; Alexei Miasnikov; Alexander Ushakov (IACR Cryptol. ePrint Arch., 2015)

Search problems in groups and branching processes. - Pavel Morar; Alexander Ushakov (Int. J. Algebra Comput., 2015)

Analysis of a certain polycyclic-group-based cryptosystem. - Matvei Kotov; Alexander Ushakov (J. Math. Cryptol., 2015)

Knapsack problems in groups. - Alexei G. Myasnikov; Andrey Nikolaev; Alexander Ushakov (Math. Comput., 2015)

Authenticated commutator key agreement protocol. - Alexander Ushakov (Groups Complex. Cryptol., 2016)

Generic case completeness. - Alexei Miasnikov; Alexander Ushakov (J. Comput. Syst. Sci., 2016)

Knapsack problems in products of groups. - Elizaveta Frenkel; Andrey Nikolaev; Alexander Ushakov (J. Symb. Comput., 2016)

Analysis of secret sharing schemes based on Nielsen transformations. - Matvei Kotov; Dmitry Panteleev; Alexander Ushakov (Groups Complex. Cryptol., 2018)

Conjugacy Separation Problem in Braids: an Attack on the Original Colored Burau Key Agreement Protocol. - Matvei Kotov; Anton Menshov; Alex D. Myasnikov; Dmitry Panteleev; Alexander Ushakov (IACR Cryptol. ePrint Arch., 2018)

Analysis of a key exchange protocol based on tropical matrix algebra. - Matvei Kotov; Alexander Ushakov (J. Math. Cryptol., 2018)

Subset sum problem in polycyclic groups. - Andrey Nikolaev; Alexander Ushakov (J. Symb. Comput., 2018)

An attack on the Walnut digital signature algorithm. - Matvei Kotov; Anton Menshov; Alexander Ushakov (Des. Codes Cryptogr., 2019)

Conjugacy search problem and the Andrews-Curtis conjecture. - Dmitry Panteleev; Alexander Ushakov (Groups Complex. Cryptol., 2019)

Soft Decision Decoding in Mud Pulse Telemetry System. - Andrey Ivanov 001; Dmitry Lakontsev; Alexey Fisenko; Alexander Ushakov (VTC Spring, 2020)

On subset sum problem in branch groups. - Andrey Nikolaev; Alexander Ushakov (CoRR, 2020)

Linear time algorithm for the conjugacy problem in the first Grigorchuk group. - Mitra Modi; Mathew Seedhom; Alexander Ushakov (Int. J. Algebra Comput., 2021)

Attack on Kayawood protocol: uncloaking private keys. - Matvei Kotov; Anton Menshov; Alexander Ushakov (J. Math. Cryptol., 2021)

Algebraic and quantum attacks on two digital signature schemes. - Vitaly Roman'kov; Alexander Ushakov; Vladimir Shpilrain (J. Math. Cryptol., 2023)

Quadratic equations in metabelian Baumslag-Solitar groups. - Richard Mandel; Alexander Ushakov (Int. J. Algebra Comput., 2023)

Complexity of Spherical Equations in Finite Groups. - Caroline Mattes; Alexander Ushakov; Armin Weiß (SOFSEM, 2024)

Kahrobaei-Koupparis DSS: universal forgery. - Alexander Ushakov (IACR Cryptol. ePrint Arch., 2025)

Quadratic equations in the lamplighter group. - Alexander Ushakov; Chloe Weiers (J. Symb. Comput., 2025)