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Importance of Elliptic Curves in Cryptography was independently proposed by Neal Koblitz and Victor Miller in 1985.Since then, Elliptic curve cryptography or ECC has evolved as a vast field for public key cryptography (PKC) systems. In PKC…

Cryptography and Security · Computer Science 2011-07-20 Rahat Afreen , S. C. Mehrotra

Cryptographic algorithms are computationally costly and the challenge is more if we need to execute them in resource constrained embedded systems. Field Programmable Gate Arrays (FPGAs) having programmable logic de- vices and processing…

Hardware Architecture · Computer Science 2014-02-20 Sruti Agarwal , Sangeet Saha , Rourab Paul , Amlan Chakrabarti

In recent years, quantum computers and Shor quantum algorithm have posed a threat to current mainstream asymmetric cryptography methods (e.g. RSA and Elliptic Curve Cryptography (ECC)). Therefore, it is necessary to construct a Post-Quantum…

Cryptography and Security · Computer Science 2024-02-27 Abel C. H. Chen

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

The session initiation protocol (SIP) is a powerful signaling protocol that controls communication on the Internet, establishing, maintaining, and terminating the sessions. The services that are enabled by SIP are equally applicable in the…

Cryptography and Security · Computer Science 2011-08-23 Debiao He

We construct new families of elliptic curves over \(\FF_{p^2}\) with efficiently computable endomorphisms, which can be used to accelerate elliptic curve-based cryptosystems in the same way as Gallant-Lambert-Vanstone (GLV) and…

Number Theory · Mathematics 2013-05-24 Benjamin Smith

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

The Discrete Logarithm Problem (DLP) for elliptic curves has been extensively studied since, for instance, it is the core of the security of cryptosystems like Elliptic Curve Cryptography (ECC). In this paper, we present an attack to the…

Algebraic Geometry · Mathematics 2023-04-28 Giuseppe Filippone

Elliptic curve cryptography (ECC) is foundational to modern secure communication, yet existing standard curves have faced scrutiny for opaque parameter-generation practices. This work introduces a Selmer-inspired framework for constructing…

Cryptography and Security · Computer Science 2025-10-06 Awnon Bhowmik

We present an accelerated Schoof-type point-counting algorithm for curves of genus 2 equipped with an efficiently computable real multiplication endomorphism. Our new algorithm reduces the complexity of genus 2 point counting over a finite…

Number Theory · Mathematics 2011-06-06 Pierrick Gaudry , David Kohel , Benjamin Smith

Cryptographic computations are fundamental to modern computing, ensuring data confidentiality and integrity. However, these operations are highly vulnerable to power side-channel attacks that exploit variations in power consumption to leak…

Cryptography and Security · Computer Science 2026-02-25 Amisha Srivastava , Muskan Porwal , Kanad Basu

This paper presents the first hardware implementation of the Datagram Transport Layer Security (DTLS) protocol to enable end-to-end security for the Internet of Things (IoT). A key component of this design is a reconfigurable prime field…

Cryptography and Security · Computer Science 2019-07-11 Utsav Banerjee , Andrew Wright , Chiraag Juvekar , Madeleine Waller , Arvind , Anantha P. Chandrakasan

This paper presents a configurable lattice cryptography processor which enables quantum-resistant security protocols for IoT. Efficient sampling architectures, coupled with a low-power SHA-3 core, provide two orders of magnitude energy…

Cryptography and Security · Computer Science 2019-03-13 Utsav Banerjee , Abhishek Pathak , Anantha P. Chandrakasan

Privacy Preserving Data Mining is a method which ensures privacy of individual information during mining. Most important task involves retrieving information from multiple data bases which is distributed. The data once in the data warehouse…

Databases · Computer Science 2012-04-13 P. Kiran , S Sathish Kumar , N. P. Kavya

A directly public verifiable signcryption scheme is introduced in this paper that provides the security attributes of message confidentiality, authentication, integrity, non-repudiation, unforgeability, and forward secrecy of message…

Cryptography and Security · Computer Science 2012-03-20 M. Toorani , A. A. Beheshti

We report numerical results, and describe plans for future experiments, related to the number of prime-order curves and "elliptic twin" curves over the primes P-224, P-256, and P-384 standardized by NIST for cryptographic applications.…

Cryptography and Security · Computer Science 2015-09-11 David Leon Gil

Due to the increasing dependency of critical infrastructure on synchronized clocks, network time synchronization protocols have become an attractive target for attackers. We identify data origin authentication as the key security objective…

Cryptography and Security · Computer Science 2017-05-31 Robert Annessi , Joachim Fabini , Tanja Zseby

Elliptic curve cryptography (ECC) is a widely established cryptographic technique, recognized for its effectiveness and reliability across a broad range of applications such as securing telecommunications or safeguarding cryptocurrency…

Quantum Physics · Physics 2025-01-20 Diego Polimeni , Raphael Seidel

Cryptographic operations are critical for securing IoT, edge computing, and autonomous systems. However, current RISC-V platforms lack efficient hardware support for comprehensive cryptographic algorithm families and post-quantum…

Hardware Architecture · Computer Science 2026-02-05 Anh Kiet Pham , Van Truong Vo , Vu Trung Duong Le , Tuan Hai Vu , Hoai Luan Pham , Van Tinh Nguyen , Yasuhiko Nakashima

Shor's shockingly fast quantum algorithm for solving the period-finding problem is a threat for the most common public-key primitives, as it can be efficiently applied to solve both the Integer Factorisation Problem and the Discrete…

Cryptography and Security · Computer Science 2021-07-26 Nicola Di Chiano , Riccardo Longo , Alessio Meneghetti , Giordano Santilli