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We propose public-key cryptosystems with public key a system of polynomial equations, algebraic or differential, and private key a single polynomial or a small-size ideal. We set up probabilistic encryption, signature, and signcryption…

Cryptography and Security · Computer Science 2007-05-23 Ilia Toli

It is common to prove by reasoning over source code that programs do not leak sensitive data. But doing so leaves a gap between reasoning and reality that can only be filled by accounting for the behaviour of the compiler. This task is…

Logic in Computer Science · Computer Science 2020-10-23 Robert Sison , Toby Murray

We formalize the simulation paradigm of cryptography in terms of category theory and show that protocols secure against abstract attacks form a symmetric monoidal category, thus giving an abstract model of composable security definitions in…

Cryptography and Security · Computer Science 2022-08-30 Anne Broadbent , Martti Karvonen

Component-based design paradigm is of paramount importance due to prolific growth in the complexity of modern-day systems. Since the components are developed primarily by multi-party vendors and often assembled to realize the overall…

Software Engineering · Computer Science 2022-05-31 Aritra Hazra

Encryption schemes often derive their power from the properties of the underlying algebra on the symbols used. Inspired by group theoretic tools, we use the centralizer of a subgroup of operations to present a private-key quantum…

Quantum Physics · Physics 2020-02-21 Si-Hui Tan , Joshua A. Kettlewell , Yingkai Ouyang , Lin Chen , Joseph F. Fitzsimons

This paper presents the mechanization of a process algebra for Mobile Ad hoc Networks and Wireless Mesh Networks, and the development of a compositional framework for proving invariant properties. Mechanizing the core process algebra in…

Logic in Computer Science · Computer Science 2014-07-15 Timothy Bourke , Robert J. van Glabbeek , Peter Höfner

High assurance of information-flow security (IFS) for concurrent systems is challenging. A promising way for formal verification of concurrent systems is the rely-guarantee method. However, existing compositional reasoning approaches for…

Software Engineering · Computer Science 2023-09-19 Yongwang Zhao , David Sanan , Fuyuan Zhang , Yang Liu

In this paper I consider all possible properties from commutative algebra for polynomial composites and monoid domains. The aim is full characterization of these structures. I start with the examination of group, ring, modules properties,…

Commutative Algebra · Mathematics 2020-06-29 Lukasz Matysiak

The statistical distribution, when determined from an incomplete set of constraints, is shown to be suitable as host for encrypted information. We design an encoding/decoding scheme to embed such a distribution with hidden information. The…

Statistical Mechanics · Physics 2015-06-25 L. Rebollo-Neira , A Plastino

We derive properties and a characterization of discrete composition matrices which are useful in the field of numerical computation of shape correspondences.

Computational Geometry · Computer Science 2017-05-02 Klaus Glashoff , Claus Peter Ortlieb

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

Web Services provide interoperable mechanisms for describing, locating and invoking services over the Internet; composition further enables to build complex services out of simpler ones for complex B2B applications. While current studies on…

Software Engineering · Computer Science 2013-11-12 Manuel Mazzara , Michele Ciavotta

A characterization of predicate encryption (PE) with support for homomorphic operations is presented and we describe the homomorphic properties of some existing PE constructions. Even for the special case of IBE, there are few known…

Cryptography and Security · Computer Science 2013-11-07 Michael Clear , Arthur Hughes , Hitesh Tewari

This paper presents a formalisation of pGCL in Isabelle/HOL. Using a shallow embedding, we demonstrate close integration with existing automation support. We demonstrate the facility with which the model can be extended to incorporate…

Logic in Computer Science · Computer Science 2012-11-28 David Cock

This paper explores verification of constituent systems within the context of the Symphony tool platform for Systems of Systems (SoS). Our SoS modelling language, CML, supports various contractual specification elements, such as state…

Software Engineering · Computer Science 2014-05-09 Luis Diogo Couto , Simon Foster , Richard Payne

This paper is a primer on cryptographic accumulators and how to apply them practically. A cryptographic accumulator is a space- and time-efficient data structure used for set-membership tests. Since it is possible to represent any…

Cryptography and Security · Computer Science 2021-03-09 Ilker Ozcelik , Sai Medury , Justin Broaddus , Anthony Skjellum

The security in information-flow has become a major concern for cyber-physical systems (CPSs). In this work, we focus on the analysis of an information-flow security property, called opacity. Opacity characterizes the plausible deniability…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Siyuan Liu , Abdalla Swikir , Majid Zamani

The purpose of the paper is to give new key agreement protocols (a multi-party extension of the protocol due to Anshel-Anshel-Goldfeld and a generalization of the Diffie-Hellman protocol from abelian to solvable groups) and a new…

Group Theory · Mathematics 2007-05-23 Dimitri Grigoriev , Ilia Ponomarenko

Beimel, Tassa and Weinreb (2008) and Farras and Padro (2010) partially characterized access structures of ideal weighted threshold secret sharing schemes in terms of the operation of composition. They classified indecomposable ideal…

Cryptography and Security · Computer Science 2013-08-20 Ali Hameed , Arkadii Slinko

We formalize the simulation paradigm of cryptography in terms of category theory and show that protocols secure against abstract attacks form a symmetric monoidal category, thus giving an abstract model of composable security definitions in…

Cryptography and Security · Computer Science 2024-10-22 Anne Broadbent , Martti Karvonen