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We describe a novel type of weak cryptographic private key that can exist in any discrete logarithm based public-key cryptosystem set in a group of prime order $p$ where $p-1$ has small divisors. Unlike the weak private keys based on…

Cryptography and Security · Computer Science 2020-11-26 Michael John Jacobson, , Prabhat Kushwaha

Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has…

Cryptography and Security · Computer Science 2015-12-29 Yongge Wang

Scalar multiplication kP is a critical operation in Elliptic Curve Cryptosystems (ECC), often targeted by Side-Channel Analysis (SCA). Despite strategies based on atomic patterns to enhance security, the binary kP algorithms remain…

Cryptography and Security · Computer Science 2026-04-30 Alkistis Aikaterini Sigourou , Zoya Dyka , Peter Langendoerfer , Ievgen Kabin

Joint encryption-encoding schemes have been released to fulfill both reliability and security desires in a single step. Using Low Density Parity Check (LDPC) codes in joint encryption-encoding schemes, as an alternative to classical linear…

Information Theory · Computer Science 2019-02-22 Hossein Khayami , Taraneh Eghlidos , Mohammad Reza Aref

Edge caching (EC) decreases the average access delay of the end-users through caching popular content at the edge network, however, it increases the leakage probability of valuable information such as users preferences. Most of the existing…

Networking and Internet Architecture · Computer Science 2023-03-28 Seyedeh Bahereh Hassanpour , Ahmad Khonsari , Masoumeh Moradian , Seyed Pooya Shariatpanahi

This paper presents ECCFROG522PP, a 522-bit prime-field elliptic curve in short Weierstrass form, designed with a focus on deterministic generation and public reproducibility. The central design principle is that all critical parameters are…

Cryptography and Security · Computer Science 2026-04-24 Victor Duarte Melo

Cryptography is an art and science of secure communication. Here the sender and receiver are guaranteed the security through encryption of their data, with the help of a common key. Both the parties should agree on this key prior to…

Cryptography and Security · Computer Science 2014-07-10 Minal Lopes , Nisha Sarwade

The rapid development of quantum computing poses a significant threat to the security of current cryptographic systems, including those used in User Equipment (UE) for mobile communications. Conventional cryptographic algorithms such as…

Cryptography and Security · Computer Science 2024-08-22 Sanzida Hoque , Abdullah Aydeger , Engin Zeydan

With the ever-growing concern for internet security, the field of quantum cryptography emerges as a promising solution for enhancing the security of networking systems. In this paper, 20 notable papers from leading conferences and journals…

Cryptography and Security · Computer Science 2023-06-16 Mst Shapna Akter

Cryptography is the science of using mathematics to encrypt and decrypt data. Cryptography enables you to store sensitive information or transmit it across insecure networks so that it cannot be read by anyone except the intended recipient.…

Cryptography and Security · Computer Science 2011-10-10 Penmetsa V. Krishna Raja , A. S. N. Chakravarthy , P. S. Avadhani

In this paper, we propose two cryptosystems based on group rings and existing cryptosystem. First one is Elliptic ElGamal type group ring public key cryptosystem whose security is greater than security of cryptosystems based on elliptic…

Group Theory · Mathematics 2022-05-12 Gaurav Mittal , Sunil Kumar , Shiv Narain , Sandeep Kumar

Most common public key cryptosystems and public key exchange protocols presently in use, such as the RSA algorithm, Diffie-Hellman, and elliptic curve methods are number theory based and hence depend on the structure of abelian groups. The…

Cryptography and Security · Computer Science 2011-03-23 Benjamin Fine , Maggie Habeeb , Delaram Kahrobaei , Gerhard Rosenberger

Like all of quantum information theory, quantum cryptography is traditionally based on two level quantum systems. In this letter, a new protocol for quantum key distribution based on higher dimensional systems is presented. An experimental…

Quantum Physics · Physics 2009-10-31 H. Bechmann-Pasquinucci , W. Tittel

Another threat is the development of large quantum computers, which have a high likelihood of breaking the high popular security protocols because it can use both Shor and Grover algorithms. In order to fix this looming threat,…

Cryptography and Security · Computer Science 2025-12-23 Navin Chhibber , Amber Rastogi , Ankur Mahida , Vatsal Gupta , Piyush Ranjan

The elliptic curve discrete logarithm problem is considered a secure cryptographic primitive. The purpose of this paper is to propose a paradigm shift in attacking the elliptic curve discrete logarithm problem. In this paper, we will argue…

Cryptography and Security · Computer Science 2023-06-22 Ansari Abdullah , Ayan Mahalanobis , Vivek M. Mallick

Nowadays, using cryptographic systems play an effective role in security and safety technologies. One of the most applied kind of cryptography is Symmetric Cryptography and its applications. New aspects of symmetric Cryptography…

Cryptography and Security · Computer Science 2009-12-08 Amin Daneshmand Malayeri , Jalal Abdollahi

In 1994, P. Shor discovered quantum algorithms which can break both the RSA cryptosystem and the ElGamal cryptosystem. In 2007, D-Wave demonstrated the first quantum computer. These events and further developments have brought a crisis to…

Metric Geometry · Mathematics 2025-07-01 Chuanming Zong

Pairing-based cryptographic schemes require so-called pairing-friendly elliptic curves, which have special properties. The set of pairing-friendly elliptic curves that are generated by given polynomials form a complete family. Although a…

Cryptography and Security · Computer Science 2016-05-10 Keiji Okano

Cryptographic standards serve two important goals: making different implementations interoperable and avoiding various known pitfalls in commonly used schemes. This chapter discusses Public-Key Cryptography Standards (PKCS) which have…

Cryptography and Security · Computer Science 2012-07-24 Yongge Wang

The development and implementation of post-quantum cryptosystems have become a pressing issue in the design of secure computing systems, as general quantum computers have become more feasible in the last two years. In this work, we…

Cryptography and Security · Computer Science 2019-03-12 Lake Bu , Rashmi Agrawal , Hai Cheng , Michel A. Kinsy
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