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These notes are a brief introduction to the RSA algorithm and modular arithmetic. They are intended for an undergraduate audience.

Cryptography and Security · Computer Science 2007-05-23 R. Milson

Public-key cryptography has become a popular way to motivate the teaching of concepts in elementary number theory, abstract algebra, and introduction to proof courses, as well as in cryptography courses. Unfortunately, many experts expect…

History and Overview · Mathematics 2022-10-11 Joshua Holden

RSA is one of the most popular Public Key Cryptography based algorithm mainly used for digital signatures, encryption/decryption etc. It is based on the mathematical scheme of factorization of very large integers which is a…

Cryptography and Security · Computer Science 2015-03-13 Sapna Saxena , Bhanu Kapoor

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

Today, Internet becomes the essential part of our lives. Over 90 percent of the ecommerce is developed on the Internet. A security algorithm became very necessary for producer client transactions assurance and the financial applications…

Cryptography and Security · Computer Science 2009-07-30 R. K. Pateriya , J. L. Rana , S. C. Shrivastava , Jaideep Patel

It is well known that Shor's quantum algorithm for integer factorization can break down the RSA public-key cryptosystem, which is widely used in many cryptographic applications. Thus, public-key cryptosystems in the quantum computational…

Quantum Physics · Physics 2007-05-23 Takeshi Koshiba

Artificial Intelligence is rapidly embedding itself within militaries, economies, and societies, reshaping their very foundations. Given the depth and breadth of its consequences, it has never been more pressing to understand how to ensure…

Machine Learning · Computer Science 2024-11-19 Dan Hendrycks

In many research works, there has been an orientation to studying and developing many of the applications of public-key cryptography to secure the data while transmitting in the systems, In this paper we present an approach to encrypt and…

Cryptography and Security · Computer Science 2016-10-28 Ahmad Steef , M. N. Shamma , A. Alkhatib

This paper proposes an alternative approach to formally establishing the correctness of the RSA public key cryptosystem. The methodology presented herein deviates slightly from conventional proofs found in existing literature. Specifically,…

Cryptography and Security · Computer Science 2026-01-01 Dar-jen Chang , Suranjan Gautam

Cybersecurity education is considered an important part of undergraduate computing curricula, but many institutions teach it only in dedicated courses or tracks. This optionality risks students graduating with limited exposure to secure…

Cryptography and Security · Computer Science 2022-07-12 Lwin Khin Shar , Christopher M. Poskitt , Kyong Jin Shim , Li Ying Leonard Wong

We believe that there is no real data protection without our own tools. Therefore, our permanent aim is to have more of our own codes. In order to achieve that, it is necessary that a lot of young researchers become interested in…

Cryptography and Security · Computer Science 2013-04-17 Dragan Vidakovic , Olivera Nikolic , Dusko Parezanovic , Jelena Kaljevic

This project involves an implementation of the Rivest Shamir Adleman (RSA) encryption algorithm in C. It consists of generation of two random prime numbers and a number co- prime to phi(n) also called euler toitent function. These three are…

Cryptography and Security · Computer Science 2015-06-16 Sinjan Chakraborty , Vineet Kumar

Primality generation is the cornerstone of several essential cryptographic systems. The problem has been a subject of deep investigations, but there is still a substantial room for improvements. Typically, the algorithms used have two parts…

Cryptography and Security · Computer Science 2022-03-07 Vassil Dimitrov , Luigi Vigneri , Vidal Attias

The security of any cryptosystem relies on the secrecy of the system's secret keys. Yet, recent experimental work demonstrates that tens of thousands of devices on the Internet use RSA and DSA secrets drawn from a small pool of candidate…

Cryptography and Security · Computer Science 2014-01-09 Henry Corrigan-Gibbs , Wendy Mu , Dan Boneh , Bryan Ford

The key-generation algorithm for the RSA cryptosystem is specified in several standards, such as PKCS#1, IEEE 1363-2000, FIPS 186-3, ANSI X9.44, or ISO/IEC 18033-2. All of them substantially differ in their requirements. This indicates that…

Cryptography and Security · Computer Science 2012-10-02 Daniel Loebenberger , Michael Nüsken

This article attempts to discover the surreptitious features of ransomware and to address it in information systems security research. It intends to elicit attention with regard to ransomware, a newly emerged cyber threat using such…

Cryptography and Security · Computer Science 2016-03-29 Akashdeep Bhardwaj , G. V. B. Subrahmanyam , Vinay Avasthi , Hanumat Sastry

The fundamental principles of quantum mechanics are considered to be hard for understanding by unprepared listeners, many attempts of its popularization turned out to be either difficult to grasp or incorrect. We propose quantum…

As cyber threats endanger everyone, from regular users to computing professionals, spreading cybersecurity awareness becomes increasingly critical. Therefore, our university designed an innovative cybersecurity awareness course that is…

Computers and Society · Computer Science 2023-07-18 Lydia Kraus , Valdemar Švábenský , Martin Horák , Vashek Matyáš , Jan Vykopal , Pavel Čeleda

This paper puts forward a safe mechanism of data transmission to tackle the security problem of information which is transmitted in Internet. The encryption standards such as DES (Data Encryption Standard), AES (Advanced Encryption…

Cryptography and Security · Computer Science 2011-10-11 Shaik Rasool , G. Sridhar , K. Hemanth Kumar , P. Ravi Kumar

Ratio statistics--such as relative risk and odds ratios--play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However,…

Machine Learning · Statistics 2025-05-28 Tomer Shoham , Katrina Ligettt
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