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Related papers: Pairing for Greenhorn: Survey and Future Perspecti…

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We assemble and reorganize the recent work in the area of hyperelliptic pairings: We survey the research on constructing hyperelliptic curves suitable for pairing-based cryptography. We also showcase the hyperelliptic pairings proposed to…

Several pairing-based cryptographic protocols are recently proposed with a wide variety of new novel applications including the ones in emerging technologies like cloud computing, internet of things (IoT), e-health systems and wearable…

Cryptography and Security · Computer Science 2016-11-24 Mehmet Sabir Kiraz , Osmanbey Uzunkol

We introduce a new tool for the study of isogeny-based cryptography, namely pairings which are sesquilinear (conjugate linear) with respect to the $\mathcal{O}$-module structure of an elliptic curve with CM by an imaginary quadratic order…

Number Theory · Mathematics 2024-10-02 Joseph Macula , Katherine E. Stange

Elliptic curve cryptography (ECC) is a remarkable mathematical tool that offers the same level of security as traditional public-key cryptography (PKC) with a significantly smaller key size and lower computational requirements. The use of…

Cryptography and Security · Computer Science 2023-07-20 Mahender Kumar

The problem of constructing elliptic curves suitable for pairing applications has received a lot of attention. To solve this, we propose a variant algorithm of a known method by Brezing and Weng. We produce new families of parameters using…

Number Theory · Mathematics 2007-11-14 Tanaka Satoru , Nakamula Ken

Bilinear pairing is a fundamental operation that is widely used in cryptographic algorithms (e.g., identity-based cryptographic algorithms) to secure IoT applications. Nonetheless, the time complexity of bilinear pairing is $O(n^3)$, making…

Cryptography and Security · Computer Science 2021-01-08 Hanlin Zhang , Le Tong , Jia Yu , Jie Lin

Pairings have been widely used since their introduction to cryptography. They can be applied to identity-based encryption, tripartite Diffie-Hellman key agreement, blockchain and other cryptographic schemes. The Acceleration of pairing…

Cryptography and Security · Computer Science 2021-09-16 Shiping Cai , Zhi Hu , Zheng-An Yao , Chang-An Zhao

Matching is a method of the design of experiments. If we had an even number of patients and wanted to form pairs of patients such that their ages, for example, in each pair be as close as possible, we would use nonbipartite matching. Not…

Combinatorics · Mathematics 2018-05-02 Josef Bukac

A conjugate code pair is defined as a pair of linear codes such that one contains the dual of the other. The conjugate code pair represents the essential structure of the corresponding Calderbank-Shor-Steane (CSS) quantum code. It is argued…

Quantum Physics · Physics 2009-01-21 Mitsuru Hamada

Securely exchanging contact information is essential for establishing trustworthy communication channels that facilitate effective online collaboration. However, current methods are neither user-friendly nor scalable for large groups of…

Cryptography and Security · Computer Science 2024-11-22 Florentin Putz , Steffen Haesler , Thomas Völkl , Maximilian Gehring , Nils Rollshausen , Matthias Hollick

The ground state of a general pairing Hamiltonian for a finite nuclear system is constructed as a product of collective, real, distinct pairs. These are determined sequentially via an iterative variational procedure that resorts to…

Nuclear Theory · Physics 2015-06-05 M. Sambataro

Fully pairing all elements of a set while attempting to maximize the total benefit is a combinatorically difficult problem. Such pairing problems naturally appear in various situations in science, technology, economics, and other fields. In…

Data Structures and Algorithms · Computer Science 2023-01-25 Naoki Fujita , André Röhm , Takatomo Mihana , Ryoichi Horisaki , Aohan Li , Mikio Hasegawa , Makoto Naruse

Rewriting systems on words are very useful in the study of monoids. In good cases, they give finite presentations of the monoids, allowing their manipulation by a computer. Even better, when the presentation is confluent and terminating,…

Formal Languages and Automata Theory · Computer Science 2010-05-02 Samuel Mimram

In software testing, the large size of the input domain makes exhaustively testing the inputs a daunting and often impossible task. Pair-wise testing is a popular approach to combinatorial testing problems. This paper reviews Pair-wise…

Software Engineering · Computer Science 2016-06-02 Jimi Sanchez

Pairwise learning or dyadic prediction concerns the prediction of properties for pairs of objects. It can be seen as an umbrella covering various machine learning problems such as matrix completion, collaborative filtering, multi-task…

Machine Learning · Computer Science 2016-06-15 Michiel Stock , Tapio Pahikkala , Antti Airola , Bernard De Baets , Willem Waegeman

The notion of "paired" fermions is central to important condensed matter phenomena such as superconductivity and superfluidity. While the concept is widely used and its physical meaning is clear there exists no systematic and mathematical…

Quantum Physics · Physics 2009-11-13 Christina V. Kraus , Michael M. Wolf , J. Ignacio Cirac , Geza Giedke

Recent study on certificateless authenticated key agreement focuses on bilinear pairing-free certificateless authenticated key agreement protocol. Yet it has got limitations in the aspect of computational amount. So it is important to…

Cryptography and Security · Computer Science 2013-07-08 Yong-Jin Kim , Yong-Min Kim , Yong-Jin Choe , Hyong-Chol O

This study reports on an implementation of cryptographic pairings in a general purpose computer algebra system. For security levels equivalent to the different AES flavours, we exhibit suitable curves in parametric families and show that…

Number Theory · Mathematics 2014-07-23 Andreas Enge , Jérôme Milan

Secret Sharing techniques are now the building blocks of several security protocols. A (t;n) threshold secret sharing scheme is one in which t or more participant can join together to retrieve the secret.Traditional single secret sharing…

Cryptography and Security · Computer Science 2016-04-01 V P Binu , A Sreekumar

The main objective of this work is twofold. On the one hand, it gives a brief overview of the area of two-party cryptographic protocols. On the other hand, it proposes new schemes and guidelines for improving the practice of robust protocol…

Cryptography and Security · Computer Science 2015-03-17 Pino Caballero-Gil , Amparo Fúster-Sabater
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