16 papers
One-way multilinear functions of the second order with linear shifts
Stanislav Semenov
We introduce and analyze a novel class of binary operations on finite-dimensional vector spaces over a field K, defined by second-order multilinear expressions with linear shifts.…
Stratified Algebra
Stanislav Semenov
We introduce and investigate the concept of Stratified Algebra, a new algebraic framework equipped with a layer-based structure on a vector space. We formalize a set of axioms gove…
Invariant-Based Cryptography: Toward a General Framework
Stanislav Semenov
We develop a generalized framework for invariant-based cryptography by extending the use of structural identities as core cryptographic mechanisms. Starting from a previously intro…
Invariant-Based Cryptography
Stanislav Semenov
We propose a new symmetric cryptographic scheme based on functional invariants defined over discrete oscillatory functions with hidden parameters. The scheme encodes a secret integ…
Invariant Bridges Between Four Successive Points: A New Tool for Data Coding
Stanislav Semenov
We introduce a simple yet powerful invariant relation connecting four successive terms of a class of exponentially decaying alternating functions. Specifically, for the sequence de…
Smooth Integer Encoding via Integral Balance
Stanislav Semenov
We introduce a novel method for encoding integers using smooth real-valued functions whose integral properties implicitly reflect discrete quantities. In contrast to classical repr…