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This paper redefines the foundations of asymmetric cryptography's homomorphic cryptosystems through the application of the Yoneda Lemma. It demonstrates that widely adopted systems, including ElGamal, RSA, Benaloh, Regev's LWE, and…

Cryptography and Security · Computer Science 2025-02-06 Rémy Tuyéras

This article bridges the gap between two topics used in sharing an encryption key: (i) Key Consolidation, i.e., extracting two identical strings of bits from two information sources with similarities (common randomness). (ii) Quantum-safe…

Cryptography and Security · Computer Science 2024-01-31 Amir K. Khandani

Hierarchies of conditional beliefs (Battigalli and Siniscalchi 1999) play a central role for the epistemic analysis of solution concepts in sequential games. They are modelled by type structures, which allow the analyst to represent the…

Theoretical Economics · Economics 2023-12-08 Nicodemo De Vito

In this Phd. thesis, a structural analysis of construction schemes is developed. The importance of this study will be justified by constructing several distinct combinatorial objects which have been of great interest in mathematics. We then…

Logic · Mathematics 2024-06-10 Jorge Antonio Cruz Chapital

Compartmentalization is good security-engineering practice. By breaking a large software system into mutually distrustful components that run with minimal privileges, restricting their interactions to conform to well-defined interfaces, we…

Cryptography and Security · Computer Science 2017-04-18 Yannis Juglaret , Catalin Hritcu , Arthur Azevedo de Amorim , Boris Eng , Benjamin C. Pierce

A class A of labelled graphs is bridge-addable if for all graphs G in A and all vertices u and v in distinct connected components of G, the graph obtained by adding an edge between u and u is also in A; the class A is monotone if for all G…

Combinatorics · Mathematics 2011-10-04 Louigi Addario Berry , Colin McDiarmid , Bruce Reed

Fully homomorphic encryption enables arbitrary computation on encrypted data without decrypting the data. Here it is studied in the context of quantum information processing. Based on universal quantum circuit, we present a quantum fully…

Quantum Physics · Physics 2015-07-23 Min Liang

Secure compilers generate compiled code that withstands many target-level attacks such as alteration of control flow, data leaks or memory corruption. Many existing secure compilers are proven to be fully abstract, meaning that they reflect…

Programming Languages · Computer Science 2020-11-30 Marco Patrignani , Deepak Garg

Modern cryptography is essential to communication and information security for performing all kinds of security actions, such as encryption, authentication, and signature. However, the exposure possibility of keys poses a great threat to…

Cryptography and Security · Computer Science 2020-10-27 Longjiang Li , Bingchuan Ma , Jianjun Yang , Yonggang Li , Yuming Mao

We present a survey of results concerning the use of inductive constructions to study the rigidity of frameworks. By inductive constructions we mean simple graph moves which can be shown to preserve the rigidity of the corresponding…

Metric Geometry · Mathematics 2013-06-18 Anthony Nixon , Elissa Ross

We propose a multi-bit leveled fully homomorphic encryption scheme using multivariate polynomial evaluations. The security of the scheme depends on the hardness of the Learning with Errors (LWE) problem. For homomorphic multiplication, the…

Cryptography and Security · Computer Science 2020-07-02 Uddipana Dowerah , Srinivasan Krishnaswamy

This paper presents an identity based multi-proxy multi-signcryption scheme from pairings. In this scheme a proxy signcrypter group could authorized as a proxy agent by the coopration of all members in the original signcryption group. Then…

Cryptography and Security · Computer Science 2007-05-23 Sunder Lal , Tej Singh

Biometric systems, while offering convenient authentication, often fall short in providing rigorous security assurances. A primary reason is the ad-hoc design of protocols and components, which hinders the establishment of comprehensive…

Cryptography and Security · Computer Science 2024-11-27 Sam Grierson , William J Buchanan , Craig Thomson , Baraq Galeb , Chris Eckl

Engineering safe and secure cyber-physical systems requires system engineers to develop and maintain a number of model views, both dynamic and static, which can be seen as algebras. We posit that verifying the composition of requirement,…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Georgios Bakirtzis , Eswaran Subrahmanian , Cody H. Fleming

Authenticated data structures allow untrusted third parties to carry out operations which produce proofs that can be used to verify an operation's output. Such data structures are challenging to develop and implement correctly. This paper…

Logic in Computer Science · Computer Science 2025-01-22 Simon Oddershede Gregersen , Chaitanya Agarwal , Joseph Tassarotti

This paper addresses the design of a dedicated homophonic coding for a class of communication systems which, in order to provide both reliability and security, first encode the data before encrypting it, which is referred to as the…

Cryptography and Security · Computer Science 2015-03-17 Miodrag J. Mihaljevic , Frederique Oggier , Hideki Imai

Group homomorphic encryption represents one of the most important building blocks in modern cryptography. It forms the basis of widely-used, more sophisticated primitives, such as CCA2-secure encryption or secure multiparty computation.…

Cryptography and Security · Computer Science 2014-01-14 Frederik Armknecht , Tommaso Gagliardoni , Stefan Katzenbeisser , Andreas Peter

Aiming for strong security assurance, recently there has been an increasing interest in formal verification of cryptographic constructions. This paper presents a mechanised formal verification of the popular Pedersen commitment protocol,…

Cryptography and Security · Computer Science 2019-01-17 Roberto Metere , Changyu Dong

As security demands increase, the importance of secure computation technologies grows, yet these technologies can often seem overwhelming to practitioners. Furthermore, many approaches focus only on a single technology, potentially…

Cryptography and Security · Computer Science 2026-05-07 Marcus Taubert , Adam Skuta , Thomas Loruenser

A hybrid encryption scheme is a public-key encryption system that consists of a public-key part called the key encapsulation mechanism (KEM), and a (symmetric) secret-key part called data encapsulation mechanism (DEM): the public-key part…

Cryptography and Security · Computer Science 2021-04-05 Setareh Sharifian , Reihaneh Safavi-Naini
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