Confidential data security is associated with the cryptographic primitives, asymmetric
encryption, elliptic curve cryptography, homomorphic encryption, cryptographic …

Base extension is a critical operation in RNS implementations of asymmetric cryptosystems.
In this paper, we propose a new way to perform base extensions using a hierarchical …

Residue Numbers System have some features which are fine for some implementations of
cryptographic protocols. The main property of RNS is the distribution of the evaluation on …

Data encryption has become a vital mechanism for data protection. One of the main
challenges and an important target for optimization is the encryption/decryption speed. In …

Residue number systems provide efficient techniques for speeding up calculations and/or
protecting against side channel attacks when used in the context of cryptographic …

Residue Number Systems (RNS) are proven to be effective in speeding up computations
involving additions and products. For these representations, there exists efficient modular …

This paper proposes new symmetric cryptoalgorithms of Residue Number System and its
Modified Perfect Form. According to the first method, ciphertext is regarded as a set of …

This paper proposes new symmetric cryptography algorithms of Residue Number System
and its Modified Perfect Form. According to the first method, ciphertext is regarded as a set of …

Residue systems of representation, like Residue Number Systems (RNS) for primary field
(GF (p)) or Trinomial Residue Arithmetic for binary field (GF (2 k)), are characterized by …

The need for fast data processing and reducing the power dissipation of digital signal
processing (DSP) algorithms and Cryptographic algorithms have provoked the development …