The One-More Discrete Logarithm Assumption in the Generic Group Model

2021 ◽  
pp. 587-617
Author(s):  
Balthazar Bauer ◽  
Georg Fuchsbauer ◽  
Antoine Plouviez
Author(s):  
Piyi Yang ◽  
Tanveer A Zia

A set of attributes instead of a single string to represent the signer’s identity is a challenging problem under standard cryptographic assumption in the standard model. Therefore, designing a fully secure (adaptive-predicate unforgeable and perfectly private) Attribute-Based Signature (ABS) that allows a signer to choose a set of attributes is vital. Existing schemes are either too complicated or have only been proved in the generic group model. In this chapter, the authors present an efficient fully secure ABS scheme in the standard model based on q-parallel BDHE assumption, which is more practical than the generic group model used in the previous schemes. The proposed scheme is highly expressive since it allows any signer to specify claim-predicates in terms of any predicate consisting of AND, OR, and Threshold gates over the attributes in the system. ABS has found many important applications in secure communications, such as anonymous authentication systems and attribute-based messaging systems.


2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Ji-Jian Chin ◽  
Syh-Yuan Tan ◽  
Swee-Huay Heng ◽  
Raphael Chung-Wei Phan

Most identity-based identification (IBI) schemes proposed in recent literature are built using pairing operations. This decreases efficiency due to the high operation costs of pairings. Furthermore, most of these IBI schemes are proven to be secure against impersonation under active and concurrent attacks using interactive assumptions such as the one-more RSA inversion assumption or the one-more discrete logarithm assumption, translating to weaker security guarantees due to the interactive nature of these assumptions. The Schnorr-IBI scheme was first proposed through the Kurosawa-Heng transformation from the Schnorr signature. It remains one of the fastest yet most secure IBI schemes under impersonation against passive attacks due to its pairing-free design. However, when required to be secure against impersonators under active and concurrent attacks, it deteriorates greatly in terms of efficiency due to the protocol having to be repeated multiple times. In this paper, we upgrade the Schnorr-IBI scheme to be secure against impersonation under active and concurrent attacks using only the classical discrete logarithm assumption. This translates to a higher degree of security guarantee with only some minor increments in operational costs. Furthermore, because the scheme operates without pairings, it still retains its efficiency and superiority when compared to other pairing-based IBI schemes.


2017 ◽  
Vol 2 (1) ◽  
pp. 83-101
Author(s):  
Nur Jamal

Abstrak: Tulisan ini membahas tentang integrasi keilmuan Islam, hal ini dilatarbelakangi oleh adanya dualisme atau dikotomi keilmuan antara ilmu-ilmu umum di satu sisi dengan ilmu-ilmu agama di sisi lain. Yang kemudian berimplikasi luas terhadap aspek-aspek kependidikan di lingkungan umat Islam, baik yang menyangkut cara pandang umat terhadap ilmu dan pendidikan, kelembagaan pendidikan, kurikulum pendidikan, maupun psikologi umat pada umumnya. Mode-model integrasi keilmuan dapat berupa model IFIAS, ASASI, Islamic Worldview, Struktur Pengetahuan Islam, Model Bucaillisme, Integrasi Keilmuan Berbasis Filsafat Klasik, Integrasi Keilmuwan Berbasis Tasawuf, Integrasi Keilmuwan Berbasis Fiqh, Model Kelompok Ijmali, Model Kelompok Aligarh.   Kata Kunci : Model, integrasi, ilmu   Abstract: This paper discusses the integration of Islamic scholarship, it is motivated by scientific dualism or dichotomy between general sciences on the one hand with the religious sciences on the other. Which then broad implications for aspects of education in the Muslim community, both involving the community perspective on science and education, educational institutions, educational curricula, as well as people in general psychology. Fashion-model of integration of science can be IFIAS models, RIGHTS, Islamic Worldview, Islamic Knowledge Structure, Model Bucaillisme, Scientific-Based Integration Classical Philosophy, Integration-Based Science of Sufism, Integration-Based Science of Fiqh, Ijmali Group Model, Model Group Aligarh. Keywords: Model, integration, science


1973 ◽  
Vol 53 ◽  
pp. 34-66 ◽  
Author(s):  
Andrew J. Nathan

Until the Cultural Revolution, the predominant western view of contemporary Chinese elite conflict was that it consisted of “discussion” (t'ao-lun) within a basically consensual Politburo among shifting “opinion groups” with no “organized force” behind them. The purges and accusations which began in 1965 and apparently still continue, have shaken this interpretation, and a number of scholars have advanced new analyses - sometimes explicit, sometimes implicit, sometimes of general application, sometimes applied only to a particular time span or segment of the political system. Of these new views, perhaps the most systematic - and at the same time the one which represents the least change from the pre-Cultural Revolution “opinion group” model - is the “policy making under Mao” interpretation, which sees conflict as essentially a bureaucratic decision-making process dominated by Mao.


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