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Universally Composable Secure Group Communication.

Youliang Tian, Changgen Peng

Published Jan 1, 2014• 2 citations
OpenAlex

Abstract

Abstract. This paper analyzes group communication within the universally composable framework. We first propose the group communication model, identity-based signcrytion mod-el and group key distribution model in the UC framework by designing the ideal functionality FSAGCOM, FIDSC and FGKD, respectively. Then, we construct a UC secure identity-based signcryption protocol πIDSC. Moreover, we shows that the identity-based signcryption πIDSC securely realizes the ideal functionality FIDSC if and only if the corresponding protocol ID-SC is secure. Finally, based on the identity-based protocol, we propose a group communica-tion scheme πSAGCOM, which can securely realizes the ideal functionality FSAGCOM in the (FIDSC,FGKD)-hybrid model.

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Abstract. This paper analyzes group communication within the universally composable framework. We first propose the group communication model, identity-based signcrytion mod-el and group key distribution model in the UC framework by designing the ideal functionality FSAGCOM, FIDSC and FGKD, respectively. Then, we construct a UC secure identity-based signcryption protocol πIDSC. Moreover, we shows that the identity-based signcryption πIDSC securely realizes the ideal functionality FIDSC if and only if the corresponding protocol ID-SC is secure. Finally, based on the identity-based protocol, we propose a group communica-tion scheme πSAGCOM, which can securely realizes the ideal functionality FSAGCOM in the (FIDSC,FGKD)-hybrid model.
Identity-based encryption (IBE) is one of the most important primitives in cryptography, and various security notions of IBE (e. g., IND-ID-CCA2, NM-ID-CCA2, IND-sID-CPA etc.) have been introduced. The relations among them have been clarified recently. This paper, for the first time, investigates the security of IBE in the universally composable (UC) framework. This paper first defines the UC-security of IBE, i. e., we define the ideal functionality of IBE, FIBE. We then show that UC-secure IBE is equivalent to conventionally-secure (IND-ID-CCA2-secure) IBE.
Idea Functionality is the core and basic unit of Universally Composable(UC) security protocols.The first step of designing the protocols,within the UCsecurity framework,is to extract an ideal functionality from the expected functionalities of the protocols.To appropriately define an ideal functionality we should not only protect the security of the definition,but also consider the realizability.This study investigates the security of identity-based signature(IBS) within the UCframework,defines a realizable identity-based signature functionality FIBS,proves that UC-secure IBS is equivalent to conventionally-secure(EUF-CMIA-secure) IBS.As a result,we are able to make sure that the EUFCMIA scheme can be a module in designing a complex protocol that satisfies the UCrequirement.
A desirable goal for cryptographic protocols is to guarantee security when the protocol is composed with other protocol instances. Universally Composable (UC) security provides this guarantee in a strong sense: A UC-secure protocol maintains its security properties even when composed concurrently with an unbounded number of instances of arbitrary protocols. However, many interesting cryptographic tasks are provably impossible to realize with UC security in the standard, “plain” model of computation. Impossibility holds even if ideally authenticated communication channels are provided. In contrast, it has been demonstrated that general secure computation can be obtained in a number of idealized models. Each one of these models represents a form of trust that is put in some of the system’s components. This survey examines and compares some of these trust models, both from the point of view of their sufficiency for building UC secure protocols, and from the point of view of their practical realizability. We start with the common reference string (CRS) model, and then describe several relaxations and alternatives including the Defective CRS model, the key registration models, the hardware token model, the global and augmented CRS models, and a timing assumption. Finally, we briefly touch upon trust models for obtaining authenticated communication.
In this paper, we formulate and realize a definition of security for three-party key distribution within the universally composable (UC) framework. That is, an appropriate ideal functionality that captures the basic security requirements of three-party key distribution is formulated. We show that UC definition of security for three-party key distribution protocol is strictly more stringent than a previous definition of security which is termed AKE-security. Finally, we present a real-life protocol that securely realizes the formulated ideal functionality with respect to non-adaptive adversaries. Keywords—Key distribution, Universally composable, AKEsecurity
We treat the security of group key exchange (GKE) in the universal composability (UC) framework. Analyzing GKE protocols in the UC framework naturally addresses attacks by malicious insiders. We define an ideal functionality for GKE that captures contributiveness in addition to other desired security goals. We show that an efficient two-round protocol securely realizes the proposed functionality in the random oracle model. As a result, we obtain the most efficient UC-secure contributory GKE protocol known.