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The article describes a new implementation of MST3 cryptosystems based on the automorphism group of the Suzuki function field. The main difference in the presented implementation is to use the logarithmic signature for encryption not only…

Cryptography and Security · Computer Science 2025-04-16 Gennady Khalimov , Yevgen Kotukh

This article presents an encryption scheme based on the small Ree groups. We propose utilizing the small Ree group structure to enhance the overall security parameters of the encryption scheme. By extending the logarithmic signature to…

Cryptography and Security · Computer Science 2025-04-16 Gennady Khalimov , Yevgen Kotukh

This scholarly work presents an advanced cryptographic framework utilizing automorphism groups as the foundational structure for encryption scheme implementation. The proposed methodology employs a three-parameter group construction,…

Cryptography and Security · Computer Science 2025-04-23 Gennady Khalimov , Yevgen Kotukh

An improved design of a cryptosystem based on small Ree groups is proposed. We have changed the encryption algorithm and propose to use a logarithmic signature for the entire Ree group. This approach improves security against sequential key…

Cryptography and Security · Computer Science 2025-04-28 Gennady Khalimov , Yevgen Kotukh

As a special type of factorization of finite groups, logarithmic signature (LS) is used as the main component of cryptographic keys for secret key cryptosystems such as PGM and public key cryptosystems like MST1, MST2 and MST3. An LS with…

Cryptography and Security · Computer Science 2015-07-07 Haibo Hong , Licheng Wang , Haseeb Ahmad , Jing Li , Yixian Yang

As a special type of factorization of finite groups, logarithmic signature (LS) is used as the main component of cryptographic keys for secret key cryptosystems such as PGM and public key cryptosystems like MST1, MST2 and MST3. An LS with…

Cryptography and Security · Computer Science 2015-07-07 Haibo Hong , Licheng Wang , Haseeb Ahmad , Yixian Yang

The paper explores a novel cryptosystem for digital signatures based on linear equa-tions for logarithmic signatures. A logarithmic signature serves as a fundamental cryptographic primitive, characterized by properties such as nonlinearity,…

Cryptography and Security · Computer Science 2024-05-28 Gennady Khalimov , Yevgen Kotukh , Maksym Kolisnyk , Svitlana Khalimova , Oleksandr Sievierinov

This article proposes a comprehensive approach to implementing encryption schemes based on the automorphism group of the Hermitian function field. We utilize a three-parameter group with logarithmic representations outside the group's…

Cryptography and Security · Computer Science 2025-04-16 Gennady Khalimov , Yevgen Kotukh

In this paper we propose a method to construct logarithmic signatures which are not amalgamated transversal and further do not even have a periodic block. The latter property was crucial for the successful attack on the system MST3 by…

Cryptography and Security · Computer Science 2011-04-26 Barbara Baumeister , Jan de Wiljes

In this paper, we present a new diverse class of post-quantum group-based Digital Signature Schemes (DSS). The approach is significantly different from previous examples of group-based digital signatures and adopts the framework of group…

Cryptography and Security · Computer Science 2023-06-28 Christopher Battarbee , Delaram Kahrobaei , Ludovic Perret , Siamak F. Shahandashti

Here is a more detailed description of the algorithm proposed in [1]. This algorithm simultaneously uses two cryptographic procedures: encryption using a generalization of the Markovski algorithm [2] and encryption using a system of…

Cryptography and Security · Computer Science 2024-07-23 Nadezhda Malyutina , Alexander Popov , Victor Shcherbacov

In this paper a three fuzzy vault schemes which integrated with discrete logarithmic encryption scheme are proposed. In the first scheme, the message m is encoded with discrete logarithmic encryption scheme using randomly generated identity…

Cryptography and Security · Computer Science 2019-05-21 Khaled Ahmed Nagaty

Group-based cryptography is a relatively unexplored family in post-quantum cryptography, and the so-called Semidirect Discrete Logarithm Problem (SDLP) is one of its most central problems. However, the complexity of SDLP and its…

Cryptography and Security · Computer Science 2024-06-10 Christopher Battarbee , Delaram Kahrobaei , Ludovic Perret , Siamak F. Shahandashti

S. S. Magliveras et al. have described symmetric and public key cryptosystems based on logarithmic signatures (also known as group bases) for finite permutation groups. In this paper we show that if $G$ is a nontrivial finite group which is…

Group Theory · Mathematics 2018-11-15 A. Caranti , F. Dalla Volta

The signcryption is a relatively new cryptographic technique that is supposed to fulfill the functionalities of encryption and digital signature in a single logical step. Several signcryption schemes are proposed throughout the years, each…

Cryptography and Security · Computer Science 2012-03-20 M. Toorani , A. A. Beheshti

We consider an application to the discrete log problem using completely regular semigroups which may provide a more secure symmetric cryptosystem than the classic system based on groups. In particular we describe a scheme that would appear…

Group Theory · Mathematics 2019-02-18 James Renshaw

In this paper, we propose a blind signature scheme and three practical educed schemes based on elliptic curve discrete logarithm problem. The proposed schemes impart the GOST signature structure and utilize the inherent advantage of…

Cryptography and Security · Computer Science 2013-04-09 Hossein Hosseini , Behnam Bahrak , Farzad Hessar

We present a new quasigroup based block encryption system with and without cipher-block-chaining. We compare its performance against Advanced Encryption Standard-256 (AES256) bit algorithm using the NIST statistical test suite (NIST-STS)…

Cryptography and Security · Computer Science 2012-08-15 Matthew Battey , Abhishek Parakh

According to actual needs, generalized signcryption scheme can flexibly work as an encryption scheme, a signature scheme or a signcryption scheme. In this paper, firstly, we give a security model for identity based generalized signcryption…

Cryptography and Security · Computer Science 2010-04-09 Gang Yu , Xiaoxiao Ma , Yong Shen , Wenbao Han

In this paper, we propose a quasigroup based block cipher design. The round functions of the encryption and decryption algorithms use quasigroup based string transformations. We show the robustness of the design against the standard…

Cryptography and Security · Computer Science 2021-12-15 Sharwan K. Tiwari , Ambrish Awasthi , Sucheta Chkrabarti , Sudha Yadav
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