113 citations · 374 across the 71 of their papers we have counts for
4 papers · 1 filter
Cryptographic transformations over polyadic rings
Steven Duplij, Qiang Guo, Na Fu
This article introduces a novel cryptographic paradigm based on nonderived polyadic algebraic structures. Traditional cryptosystems rely on binary operations within groups, rings,…
Higher power polyadic group rings
Steven Duplij
This paper introduces and systematically develops the theory of polyadic group rings, a higher arity generalization of classical group rings . We construct…
Polyadic encryption
Steven Duplij, Qiang Guo
A novel original procedure of encryption/decryption based on the polyadic algebraic structures and on signal processing methods is proposed. First, we use signals with integer ampl…
Positional numeral systems over polyadic rings
Steven Duplij
We construct positional numeral systems that work natively over nonderived polyadic -rings whose addition takes arguments and multiplication takes . In s…