We describe a method for solving the conjugacy problem in a vast class of rearrangement
groups of fractals, a family of Thompson-like groups introduced in 2019 by Belk and Forrest …

Non-abelian group based cryptosystems are a latest research inspiration, since they offer
better security due to their nonabelian properties. In this paper, we propose a novel …

In this paper we propose a key exchange protocol (KEP) based on the so-called matrix
power function (MPF) defined over a non-commuting platform group. In general, it is not …

Due to the importance of data security at present, an encryption algorithm based on the
principle of non-commutative group, hash function, and E-fractal has been proposed. Key …

Today, data are a resource that is more important than ever for any organization we could
imagine of. Big data analysis, cloud technology, monitoring devices, as well as other …

Основним елементом криптографії з відкритим ключем є односторонні функції. У
криптографії така функція використовується для шифрування, тоді як її інверсія–для …

Modern Cryptography, also known as Algebraic Cryptography has become a crucial and an
attractive field of research over the years. Public-key cryptosystems used at present, utilize …

The field in nonabelian group-based cryptosystem have gain attention of the researchers as
it expected to offers higher security when confronted with quantum computational due to …

Проблема слова стала одним з перших прикладів нерозв'язної задачі [2]. Через її
нерозв'язність декілька інших задач у комбінаторній теорії груп також виявилися …