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[KNYGA][B] Residue number systems
PVA Mohan, PVA Mohan - 2016 - Springer
The design of algorithms and hardware implementation for signal processing systems has
received considerable attention over the last few decades. The primary area of application …
received considerable attention over the last few decades. The primary area of application …
High-throughput modular multiplication and exponentiation algorithms using multibit-scan–multibit-shift technique
Modular exponentiation with a large modulus and exponent is a fundamental operation in
many public-key cryptosystems. This operation is usually accomplished by repeating …
many public-key cryptosystems. This operation is usually accomplished by repeating …
Error-correction coding using polynomial residue number system
IA Kalmykov, VP Pashintsev, KT Tyncherov… - Applied Sciences, 2022 - mdpi.com
There has been a tendency to use the theory of finite Galois fields, or GF (2n), in
cryptographic ciphers (AES, Kuznyechik) and digital signal processing (DSP) systems. It is …
cryptographic ciphers (AES, Kuznyechik) and digital signal processing (DSP) systems. It is …
Residue arithmetic systems in cryptography: a survey on modern security applications
D Schoinianakis - Journal of Cryptographic Engineering, 2020 - Springer
In the last few years, the ancient residue number system has gained renewed scientific
interest and has emerged as an interesting alternative in the field of secure hardware …
interest and has emerged as an interesting alternative in the field of secure hardware …
Multifunction residue architectures for cryptography
A design methodology for incorporating Residue Number System (RNS) and Polynomial
Residue Number System (PRNS) in Montgomery modular multiplication in GF (p) or GF (2 n) …
Residue Number System (PRNS) in Montgomery modular multiplication in GF (p) or GF (2 n) …
Montgomery-friendly primes and applications to cryptography
JC Bajard, S Duquesne - Journal of Cryptographic Engineering, 2021 - Springer
This paper deals with Montgomery-friendly primes designed for the modular reduction
algorithm of Montgomery. These numbers are scattered in the literature and their properties …
algorithm of Montgomery. These numbers are scattered in the literature and their properties …
Signature gateway: Offloading signature generation to IoT gateway accelerated by GPU
The emergence of Internet of Things (IoT) brings us the possibility to form a well connected
network for ubiquitous sensing, intelligent analysis, and timely actuation, which opens up …
network for ubiquitous sensing, intelligent analysis, and timely actuation, which opens up …
Single base modular multiplication for efficient hardware RNS implementations of ECC
The paper describes a new RNS modular multiplication algorithm for efficient
implementations of ECC over F _P FP. Thanks to the proposition of RNS-friendly Mersenne …
implementations of ECC over F _P FP. Thanks to the proposition of RNS-friendly Mersenne …
RNS montgomery reduction algorithms using quadratic residuosity
The residue number system (RNS) is a method for representing an integer as an n-tuple of
its residues with respect to a given base. Since RNS has inherent parallelism, it is actively …
its residues with respect to a given base. Since RNS has inherent parallelism, it is actively …
Efficient cryptographic hardware for safety message verification in internet of connected vehicles
An important security requirement in automotive networks is to authenticate, sign, and verify
thousands of short messages per second by each vehicle. This requirement mandates the …
thousands of short messages per second by each vehicle. This requirement mandates the …