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An efficient integer factorization algorithm would reduce the security of all variants of the RSA cryptographic scheme to zero. Despite the passage of years, no method for efficiently factoring large semiprime numbers in a classical…

Cryptography and Security · Computer Science 2025-03-04 Jacek Pomykała , Mariusz Jurkiewicz

The emergence of small computing devices and the integration of processing units into everyday objects has made lightweight cryptography an essential part of the security landscape. Conventional cryptographic algorithms such as AES, RSA,…

Cryptography and Security · Computer Science 2026-02-17 Mohsin Khan , Elisavet Kozyri , Håvard Dagenborg

The security of the Elliptic Curve Digital Signature Algorithm (ECDSA) depends on the uniqueness and secrecy of the nonce, which is used in each signature. While it is well understood that nonce $k$ reuse across two distinct messages can…

Cryptography and Security · Computer Science 2025-04-21 Jamie Gilchrist , William J. Buchanan , Keir Finlow-Bates

Signature schemes, proposed in 1976 by Diffie and Hellman, have become ubiquitous across modern communications. They allow for the exchange of messages from one sender to multiple recipients, with the guarantees that messages cannot be…

Quantum Physics · Physics 2015-08-11 Ryan Amiri , Erika Andersson

Security of Elliptic Curve Digital Signature Algorithm (ECDSA) depends on the secrecy of the per-signature nonce. Even partial nonce leakage can expose the long-term private key through lattice-based cryptanalysis. In this paper, we…

Cryptography and Security · Computer Science 2026-02-03 Sahan Sanjaya , Prabhat Mishra

In symmetric key cryptography the sender as well as the receiver possess a common key. Asymmetric key cryptography involves generation of two distinct keys which are used for encryption and decryption correspondingly. The sender converts…

Cryptography and Security · Computer Science 2016-03-25 Akashdeep Bhardwaj , GVB Subrahmanyam , Vinay Avasthi , Hanumat Sastry

Cryptographic Protocols (CP) are distributed algorithms intended for secure communication in an insecure environment. They are used, for example, in electronic payments, electronic voting procedures, systems of confidential data processing,…

Cryptography and Security · Computer Science 2021-09-21 Andrew M. Mironov

Now a days, power has become a primary consideration in hardware design, and is critical in computer systems especially for portable devices with high performance and more functionality. Clock-gating is the most common technique used for…

Hardware Architecture · Computer Science 2010-09-10 M. Kamaraju , K. Lal Kishore , A. V. N. Tilak

This experiment breaks a 5-bit elliptic curve cryptographic key using a Shor-style quantum attack. Executed on IBM's 133-qubit ibm_torino with Qiskit Runtime 2.0, a 15-qubit circuit, comprised of 10 logical qubits and 5 ancilla, interferes…

Cryptography and Security · Computer Science 2025-07-16 Steve Tippeconnic

This comprehensive survey deliberated over the security of electronic payment systems. In our research, we focused on either dominant systems or new attempts and innovations to improve the level of security of the electronic payment…

Cryptography and Security · Computer Science 2017-01-18 Siamak Solat

We provide an efficient algorithm to compile quantum circuits for fault-tolerant execution. We target surface codes, which form a 2D grid of logical qubits with nearest-neighbor logical operations. Embedding an input circuit's qubits in…

Quantum Physics · Physics 2022-07-05 Michael Beverland , Vadym Kliuchnikov , Eddie Schoute

We study a key exchange protocol based on isogenies between ordinary elliptic curves over a finite field, first mentioned by Couveignes and investigated by Rostovtsev and Stolbunov. After presenting the fundamental notions about elliptic…

Number Theory · Mathematics 2018-04-27 Jean Kieffer

This paper proposes the hardware implementation of RSA encryption/decryption algorithm using the algorithms of Ancient Indian Vedic Mathematics that have been modified to improve performance. The recently proposed hierarchical overlay…

Hardware Architecture · Computer Science 2007-05-23 Himanshu Thapliyal , M. B Srinivas

Whilst many key exchange and digital signature systems still rely on NIST P-256 (secp256r1) and secp256k1, offering around 128-bit security, there is an increasing demand for transparent and reproducible curves at the 256-bit security…

Cryptography and Security · Computer Science 2026-04-21 Víctor Duarte Melo , William J. Buchanan

In this paper we report on the results of selected horizontal SCA attacks against two open-source designs that implement hardware accelerators for elliptic curve cryptography. Both designs use the complete addition formula to make the point…

Cryptography and Security · Computer Science 2022-01-05 Ievgen Kabin , Zoya Dyka , Dan Klann , Nele Mentens , Lejla Batina , Peter Langendoerfer

The Encrypted File System (EFS) pushes encryption services into the file system itself. EFS supports secure storage at the system level through a standard UNIX file system interface to encrypted files. User can associate a cryptographic key…

Cryptography and Security · Computer Science 2009-08-06 Dr. Shishir Kumar , U. S. Rawat , Sameer Kumar Jasra , Akshay Kumar Jain

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

Elliptic curves are planar curves which can be used to define an abelian group. The efficient computation of discrete logarithms over this group is a longstanding problem relevant to cryptography. It may be possible to efficiently compute…

Quantum Physics · Physics 2024-01-24 Maxwell Aifer , Evan Sheldon

Provisioning secrecy for all users, given the heterogeneity and uncertainty of their channel conditions, locations, and the unknown location of the attacker/eavesdropper, is challenging and not always feasible. This work takes the first…

Signal Processing · Electrical Eng. & Systems 2025-08-22 Monir Abughalwa , Diep N. Nguyen , Dinh Thai Hoang , Thang X. Vu , Eryk Dutkiewicz , Symeon Chatzinotas

Cybercriminals have been exploiting cryptocurrencies to commit various unique financial frauds. Covert cryptomining - which is defined as an unauthorized harnessing of victims' computational resources to mine cryptocurrencies - is one of…

Cryptography and Security · Computer Science 2020-12-16 Ankit Gangwal , Samuele Giuliano Piazzetta , Gianluca Lain , Mauro Conti