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Efficient scalar multiplication is critical for enhancing the performance of elliptic curve cryptography (ECC), especially in applications requiring large-scale or real-time cryptographic operations. This paper proposes an M-ary…

Cryptography and Security · Computer Science 2025-05-06 Tongxi Wu , Xufeng Liu , Jin Yang , Yijie Zhu , Shunyang Zeng , Mingming Zhan

This paper compares the efficiency of various algorithms for implementing quantum resistant public key encryption scheme RLCE on 64-bit CPUs. By optimizing various algorithms for polynomial and matrix operations over finite fields, we…

Information Theory · Computer Science 2017-08-01 Yongge Wang

Galois field (GF) arithmetic is used to implement critical arithmetic components in communication and security-related hardware, and verification of such components is of prime importance. Current techniques for formally verifying such…

Symbolic Computation · Computer Science 2019-01-25 Cunxi Yu , Maciej Ciesielski

We describe the design and implementation of efficient signature and key-exchange schemes for the AVR ATmega and ARM Cortex M0 microcontrollers, targeting the 128-bit security level. Our algorithms are based on an efficient Montgomery…

Cryptography and Security · Computer Science 2016-04-21 Joost Renes , Peter Schwabe , Benjamin Smith , Lejla Batina

This paper describes a novel method for efficiently calculating CRC checksums without lookup tables or hardware support for polynomial multiplication. Throughput of CRC32 is increased by 100% across different platforms compared with the…

Data Structures and Algorithms · Computer Science 2024-12-24 Sam Russell

Public-key cryptography algorithms, especially elliptic curve cryptography (ECC) and elliptic curve digital signature algorithm (ECDSA) have been attracting attention from many researchers in different institutions because these algorithms…

Cryptography and Security · Computer Science 2019-02-28 Mishall Al-Zubaidie , Zhongwei Zhang , Ji Zhang

Advanced Encryption Standard (AES) implementations on Field Programmable Gate Arrays (FPGA) commonly focus on maximizing throughput at the cost of utilizing high volumes of FPGA slice logic. High resource usage limits systems' abilities to…

Cryptography and Security · Computer Science 2019-11-12 Jacob T. Grycel , Robert J. Walls

We perform logical and physical resource estimation for computing binary elliptic curve discrete logarithms using Shor's algorithm on fault-tolerant quantum computers. We adopt a windowed approach to design our circuit implementation of the…

Quantum Physics · Physics 2025-09-01 Michael Garn , Angus Kan

With neural networks growing deeper and feature maps growing larger, limited communication bandwidth with external memory (or DRAM) and power constraints become a bottleneck in implementing network inference on mobile and edge devices. In…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Shanzhi Yin , Tongda Xu , Yongsheng Liang , Yuanyuan Wang , Yanghao Li , Yan Wang , Jingjing Liu

This paper deals with linear algebra operations on Graphics Processing Unit (GPU) with complex number arithmetic using double precision. An analysis of their uses within iterative Krylov methods is presented to solve acoustic problems.…

Numerical Analysis · Mathematics 2021-12-23 Abal-Kassim Cheik Ahamed , Frederic Magoules

Solving the Elliptic Curve Discrete Logarithm Problem (ECDLP) is critical for evaluating the quantum security of widely deployed elliptic-curve cryptosystems. Consequently, minimizing the number of logical qubits required to execute this…

Quantum Physics · Physics 2026-04-21 Han Luo , Ziyi Yang , Ziruo Wang , Yuexin Su , Tongyang Li

Code that is highly optimized poses a problem for program-level verification: programmers can employ various clever tricks that are non-trivial to reason about. For cryptography on low-power devices, it is nonetheless crucial that…

Cryptography and Security · Computer Science 2021-03-30 Marc Schoolderman , Jonathan Moerman , Sjaak Smetsers , Marko van Eekelen

This paper presents CERMET, an energy-efficient hardware architecture designed for hardware-constrained cryptosystems. CERMET employs a base cryptosystem in conjunction with network coding to provide both information-theoretic and…

Cryptography and Security · Computer Science 2023-08-10 Jongchan Woo , Vipindev Adat Vasudevan , Benjamin Kim , Alejandro Cohen , Rafael G. L. D'Oliveira , Thomas Stahlbuhk , Muriel Médard

Quantum computing is an emerging technology on the verge of reshaping industries, while simultaneously challenging existing cryptographic algorithms. FALCON, a recent standard quantum-resistant digital signature, presents a challenging…

Signal Processing · Electrical Eng. & Systems 2024-01-22 Ghada Alsuhli , Hani Saleh , Mahmoud Al-Qutayri , Baker Mohammad , Thanos Stouraitis

In this paper secured wireless communication using fuzzy logic based high speed public key cryptography (FLHSPKC) has been proposed by satisfying the major issues likes computational safety, power management and restricted usage of memory…

Cryptography and Security · Computer Science 2012-11-12 Arindam Sarkar , J. K. Mandal

Galois field (GF) arithmetic circuits find numerous applications in communications, signal processing, and security engineering. Formal verification techniques of GF circuits are scarce and limited to circuits with known bit positions of…

Symbolic Computation · Computer Science 2018-02-21 Cunxi Yu , Maciej Ciesielski

Numerical codes that require arbitrary precision floating point (APFP) numbers for their core computation are dominated by elementary arithmetic operations due to the super-linear complexity of multiplication in the number of mantissa bits.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-14 Johannes de Fine Licht , Christopher A. Pattison , Alexandros Nikolaos Ziogas , David Simmons-Duffin , Torsten Hoefler

Elliptic curve cryptography (ECC) is widely used in security applications such as public key cryptography (PKC) and zero-knowledge proofs (ZKP). ECC is composed of modular arithmetic, where modular multiplication takes most of the…

Hardware Architecture · Computer Science 2024-02-23 Jonathan Ku , Junyao Zhang , Haoxuan Shan , Saichand Samudrala , Jiawen Wu , Qilin Zheng , Ziru Li , JV Rajendran , Yiran Chen

Cat qubits provide appealing building blocks for quantum computing. They exhibit a tunable noise bias yielding an exponential suppression of bit flips with the average photon number and a protection against the remaining phase errors can be…

This paper presents a low-latency hardware accelerator for modular polynomial multiplication for lattice-based post-quantum cryptography and homomorphic encryption applications. The proposed novel modular polynomial multiplier exploits the…

Cryptography and Security · Computer Science 2024-05-07 Weihang Tan , Antian Wang , Yingjie Lao , Xinmiao Zhang , Keshab K. Parhi