Constant-Size Hierarchical Identity-Based Signature/Signcryption without Random Oracles

We construct the first constant-size hierarchical identity-based signature (HIBS) without random oracles - the signature size is $O(\lambda_s)$ bits, where $\lambda_s$ is the security parameter, and it is independent of the number of levels in the hierarchy. We observe that an efficient hierarchical identity-based signcryption (HIBSC) scheme without random oracles can be compositioned from our HIBS and Boneh, Boyen, and Goh\u27s hierarchical identity-based encryption (HIBE). We further optimize it to a constant-factor efficiency improvement. This is the first constant-size HIBSC without random oracles

Still Wrong Use of Pairings in Cryptography

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 technologies. There have been however a wide range of incorrect use of these primitives. The paper of Galbraith, Paterson, and Smart (2006) pointed out most of the issues related to the incorrect use of pairing-based cryptography. However, we noticed that some recently proposed applications still do not use these primitives correctly. This leads to unrealizable, insecure or too inefficient designs of pairing-based protocols. We observed that one reason is not being aware of the recent advancements on solving the discrete logarithm problems in some groups. The main purpose of this article is to give an understandable, informative, and the most up-to-date criteria for the correct use of pairing-based cryptography. We thereby deliberately avoid most of the technical details and rather give special emphasis on the importance of the correct use of bilinear maps by realizing secure cryptographic protocols. We list a collection of some recent papers having wrong security assumptions or realizability/efficiency issues. Finally, we give a compact and an up-to-date recipe of the correct use of pairings.Comment: 25 page

Identity based cryptography from pairings.

Yuen Tsz Hon.Thesis (M.Phil.)--Chinese University of Hong Kong, 2006.Includes bibliographical references (leaves 109-122).Abstracts in English and Chinese.Abstract --- p.iAcknowledgement --- p.iiiList of Notations --- p.viiiChapter 1 --- Introduction --- p.1Chapter 1.1 --- Identity Based Cryptography --- p.3Chapter 1.2 --- Hierarchical Identity Based Cryptosystem --- p.4Chapter 1.3 --- Our contributions --- p.5Chapter 1.4 --- Publications --- p.5Chapter 1.4.1 --- Publications Produced from This Thesis --- p.5Chapter 1.4.2 --- Publications During Author's Study in the Degree --- p.6Chapter 1.5 --- Thesis Organization --- p.6Chapter 2 --- Background --- p.8Chapter 2.1 --- Complexity Theory --- p.8Chapter 2.1.1 --- Order Notation --- p.8Chapter 2.1.2 --- Algorithms and Protocols --- p.9Chapter 2.1.3 --- Relations and Languages --- p.11Chapter 2.2 --- Algebra and Number Theory --- p.12Chapter 2.2.1 --- Groups --- p.12Chapter 2.2.2 --- Elliptic Curve --- p.13Chapter 2.2.3 --- Pairings --- p.14Chapter 2.3 --- Intractability Assumptions --- p.15Chapter 2.4 --- Cryptographic Primitives --- p.18Chapter 2.4.1 --- Public Key Encryption --- p.18Chapter 2.4.2 --- Digital Signature --- p.19Chapter 2.4.3 --- Zero Knowledge --- p.21Chapter 2.5 --- Hash Functions --- p.23Chapter 2.6 --- Random Oracle Model --- p.24Chapter 3 --- Literature Review --- p.26Chapter 3.1 --- Identity Based Signatures --- p.26Chapter 3.2 --- Identity Based Encryption --- p.27Chapter 3.3 --- Identity Based Signcryption --- p.27Chapter 3.4 --- Identity Based Blind Signatures --- p.28Chapter 3.5 --- Identity Based Group Signatures --- p.28Chapter 3.6 --- Hierarchical Identity Based Cryptography --- p.29Chapter 4 --- Blind Identity Based Signcryption --- p.30Chapter 4.1 --- Schnorr's ROS problem --- p.31Chapter 4.2 --- BIBSC and Enhanced IBSC Security Model --- p.32Chapter 4.2.1 --- Enhanced IBSC Security Model --- p.33Chapter 4.2.2 --- BIBSC Security Model --- p.36Chapter 4.3 --- Efficient and Secure BIBSC and IBSC Schemes --- p.38Chapter 4.3.1 --- Efficient and Secure IBSC Scheme --- p.38Chapter 4.3.2 --- The First BIBSC Scheme --- p.43Chapter 4.4 --- Generic Group and Pairing Model --- p.47Chapter 4.5 --- Comparisons --- p.52Chapter 4.5.1 --- Comment for IND-B --- p.52Chapter 4.5.2 --- Comment for IND-C --- p.54Chapter 4.5.3 --- Comment for EU --- p.55Chapter 4.6 --- Additional Functionality of Our Scheme --- p.56Chapter 4.6.1 --- TA Compatibility --- p.56Chapter 4.6.2 --- Forward Secrecy --- p.57Chapter 4.7 --- Chapter Conclusion --- p.57Chapter 5 --- Identity Based Group Signatures --- p.59Chapter 5.1 --- New Intractability Assumption --- p.61Chapter 5.2 --- Security Model --- p.62Chapter 5.2.1 --- Syntax --- p.63Chapter 5.2.2 --- Security Notions --- p.64Chapter 5.3 --- Constructions --- p.68Chapter 5.3.1 --- Generic Construction --- p.68Chapter 5.3.2 --- An Instantiation: IBGS-SDH --- p.69Chapter 5.4 --- Security Theorems --- p.73Chapter 5.5 --- Discussions --- p.81Chapter 5.5.1 --- Other Instantiations --- p.81Chapter 5.5.2 --- Short Ring Signatures --- p.82Chapter 5.6 --- Chapter Conclusion --- p.82Chapter 6 --- Hierarchical IBS without Random Oracles --- p.83Chapter 6.1 --- New Intractability Assumption --- p.87Chapter 6.2 --- Security Model: HIBS and HIBSC --- p.89Chapter 6.2.1 --- HIBS Security Model --- p.89Chapter 6.2.2 --- Hierarchical Identity Based Signcryption (HIBSC) --- p.92Chapter 6.3 --- Efficient Instantiation of HIBS --- p.95Chapter 6.3.1 --- Security Analysis --- p.96Chapter 6.3.2 --- Ordinary Signature from HIBS --- p.101Chapter 6.4 --- Plausibility Arguments for the Intractability of the OrcYW Assumption --- p.102Chapter 6.5 --- Efficient HIBSC without Random Oracles --- p.103Chapter 6.5.1 --- Generic Composition from HIBE and HIBS --- p.104Chapter 6.5.2 --- Concrete Instantiation --- p.105Chapter 6.6 --- Chapter Conclusion --- p.107Chapter 7 --- Conclusion --- p.108Bibliography --- p.10

Generalized ID-based elgamal signatures and extensions

Ankara : The Department of Computer Engineering and the Institute of Engineering and Science of Bilkent University, 2008.Thesis (Master's) -- Bilkent University, 2008.Includes bibliographical references leaves 58-62.ID-based cryptography helps us to simplify key management process in traditional public key infrastructures. Any public information such as the e-mail address, name, etc., can be used as a public key and this solves the problem of obtaining the public key of a party and checking that its certificate is valid. ID-based cryptography has been a very active area of research in cryptography since bilinear pairings were introduced as a cryptographic tool. There have been many proposals for ID-based signatures recently. In this thesis, we introduce the concept of generalized ID-based ElGamal signatures and show that most of the proposed ID-based signature schemes in the literature are special instances of this generalized scheme. We also investigate ID-based signatures providing additional properties. Signature schemes with message recovery provide the feature that the message is recoverable from the signature and hence does not need to be transmitted separately. Blind signatures provide the feature that a user is able to get a signature without giving the actual message to the signer. Finally, signcryption schemes fulfill the job of a digital signature and encryption in a single step with a lower computational cost. We generalize the ID-based signatures providing these properties and obtain numerous new signatures which have not been explored before. The generalized ID-based signatures we described provide a unified framework for ID-based ElGamal signatures and extensions. Additionally, some of our blind signatures turn out to be more efficient than the previously proposed schemes.Kalkan, SaidM.S

New Conditional Privacy-preserving Encryption Schemes in Communication Network

Nowadays the communication networks have acted as nearly the most important fundamental infrastructure in our human society. The basic service provided by the communication networks are like that provided by the ubiquitous public utilities. For example, the cable television network provides the distribution of information to its subscribers, which is much like the water or gas supply systems which distribute the commodities to citizens. The communication network also facilitates the development of many network-based applications such as industrial pipeline controlling in the industrial network, voice over long-term evolution (VoLTE) in the mobile network and mixture reality (MR) in the computer network, etc. Since the communication network plays such a vital role in almost every aspect of our life, undoubtedly, the information transmitted over it should be guarded properly. Roughly, such information can be categorized into either the communicated message or the sensitive information related to the users. Since we already got cryptographical tools, such as encryption schemes, to ensure the confidentiality of communicated messages, it is the sensitive personal information which should be paid special attentions to. Moreover, for the benefit of reducing the network burden in some instances, it may require that only communication information among legitimated users, such as streaming media service subscribers, can be stored and then relayed in the network. In this case, the network should be empowered with the capability to verify whether the transmitted message is exchanged between legitimated users without leaking the privacy of those users. Meanwhile, the intended receiver of a transmitted message should be able to identify the exact message sender for future communication. In order to cater to those requirements, we re-define a notion named conditional user privacy preservation. In this thesis, we investigate the problem how to preserve user conditional privacy in pubic key encryption schemes, which are used to secure the transmitted information in the communication networks. In fact, even the term conditional privacy preservation has appeared in existing works before, there still have great differences between our conditional privacy preservation definition and the one proposed before. For example, in our definition, we do not need a trusted third party (TTP) to help tracing the sender of a message. Besides, the verification of a given encrypted message can be done without any secret. In this thesis, we also introduce more desirable features to our redefined notion user conditional privacy preservation. In our second work, we consider not only the conditional privacy of the message sender but also that of the intended message receiver. This work presents a new encryption scheme which can be implemented in communication networks where there exists a blacklist containing a list of blocked communication channels, and each of them is established by a pair of sender and receiver. With this encryption scheme, a verifier can confirm whether one ciphertext is belonging to a legitimated communication channel without knowing the exact sender and receiver of that ciphertext. With our two previous works, for a given ciphertext, we ensure that no one except its intended receiver can identify the sender. However, the receiver of one message may behave dishonest when it tries to retrieve the real message sender, which incurs the problem that the receiver of a message might manipulate the origin of the message successfully for its own benefit. To tackle this problem, we present a novel encryption scheme in our third work. Apart from preserving user conditional privacy, this work also enforces the receiver to give a publicly verifiable proof so as to convince others that it is honest during the process of identifying the actual message sender. In our forth work, we show our special interest in the access control encryption, or ACE for short, and find this primitive can inherently achieve user conditional privacy preservation to some extent. we present a newly constructed ACE scheme in this work, and our scheme has advantages over existing ACE schemes in two aspects. Firstly, our ACE scheme is more reliable than existing ones since we utilize a distributed sanitizing algorithm and thus avoid the so called single point failure happened in ACE systems with only one sanitizer. Then, since the ciphertext and key size of our scheme is more compact than that of the existing ACE schemes, our scheme enjoys better scalability

An Efficient Identity-Based Signcryption Scheme for Multiple Receivers

This paper puts forward a new efficient construction for Multi-Receiver Signcryption in the Identity-based setting. We consider a scenario where a user wants to securely send a message to a dynamically changing subset of the receivers in such a way that non-members of the of this subset cannot learn the message. The obvious solution is to transmit an individually signcrypted message to every member of the subset. This requires a very long transmission (the number of receivers times the length of the message) and high computation cost. Another simple solution is to provide every possible subset of receivers with a key. This requires every user to store a huge number of keys. In this case, the storage efficiency is compromised. The goal of this paper is to provide solutions which are efficient in all three measures i.e. transmission length, storage of keys and computation at both ends. We propose a new scheme that achieve both confidentiality and authenticity simultaneously in this setting and is the most efficient scheme to date, in the parameters described above. It breaks the barrier of ciphertext length of linear order in the number of receivers, and achieves constant sized ciphertext, independent of the size of the receiver set. This is the first Multi-receiver Signcryption scheme to do so. We support the scheme with security proofs under a precisely defined formal security mode

Contributions to secret sharing and other distributed cryptosystems

The present thesis deals with primitives related to the eld of distributed cryptography. First, we study signcryption schemes, which provide at the same time the functionalities of encryption and signature, where the unsigncryption operation is distributed. We consider this primitive from a theoretical point of view and set a security framework for it. Then, we present two signcryption schemes with threshold unsigncryption, with di erent properties. Furthermore, we use their authenticity property to apply them in the development of a di erent primitive: digital signatures with distributed veri cation. The second block of the thesis deals with the primitive of multi-secret sharing schemes. After stating some e ciency limitations of multi-secret sharing schemes in an information-theoretic scenario, we present several multi-secret sharing schemes with provable computational security. Finally, we use the results in multi-secret sharing schemes to generalize the traditional framework of distributed cryptography (with a single policy of authorized subsets) into a multipolicy setting, and we present both a multi-policy distributed decryption scheme and a multi-policy distributed signature scheme. Additionally, we give a short outlook on how to apply the presented multi-secret sharing schemes in the design of other multi-policy cryptosystems, like the signcryption schemes considered in this thesis. For all the schemes proposed throughout the thesis, we follow the same formal structure. After de ning the protocols of the primitive and the corresponding security model, we propose the new scheme and formally prove its security, by showing a reduction to some computationally hard mathematical problem.Avui en dia les persones estan implicades cada dia més en diferents activitats digitals tant en la seva vida professional com en el seu temps lliure. Molts articles de paper, com diners i tiquets, estan sent reemplaçats més i més per objectes digitals. La criptografia juga un paper crucial en aquesta transformació, perquè proporciona seguretat en la comunicació entre els diferents participants que utilitzen un canal digital. Depenent de la situació específica, alguns requisits de seguretat en la comunicació poden incloure privacitat (o confidencialitat), autenticitat, integritat o no-repudi. En algunes situacions, repartir l'operació secreta entre un grup de participants fa el procés més segur i fiable que quan la informació secreta està centralitzada en un únic participant; la criptografia distribuïda és l’àrea de la criptografia que estudia aquestes situacions. Aquesta tesi tracta de primitives relacionades amb el camp de la criptografia distribuïda. Primer, estudiem esquemes “signcryption”, que ofereixen a la vegada les funcionalitats de xifrat i signatura, on l'operació de “unsigncryption” està distribuïda. Considerem aquesta primitiva des d’un punt de vista teòric i establim un marc de seguretat per ella. Llavors, presentem dos esquemes “signcryption” amb operació de “unsigncryption” determinada per una estructura llindar, cada un amb diferents propietats. A més, utilitzem la seva propietat d’autenticitat per desenvolupar una nova primitiva: signatures digitals amb verificació distribuïda. El segon bloc de la tesi tracta la primitiva dels esquemes de compartició de multi-secrets. Després de demostrar algunes limitacions en l’eficiència dels esquemes de compartició de multi-secrets en un escenari de teoria de la informació, presentem diversos esquemes de compartició de multi-secrets amb seguretat computacional demostrable. Finalment, utilitzem els resultats obtinguts en els esquemes de compartició de multi-secrets per generalitzar el paradigma tradicional de la criptografia distribuïda (amb una única política de subconjunts autoritzats) a un marc multi-política, i presentem un esquema de desxifrat distribuït amb multi-política i un esquema de signatura distribuïda amb multi-política. A més, donem indicacions de com es poden aplicar els nostres esquemes de compartició de multi-secrets en el disseny d’altres criptosistemes amb multi-política, com per exemple els esquemes “signcryption” considerats en aquesta tesi. Per tots els esquemes proposats al llarg d’aquesta tesi, seguim la mateixa estructura formal. Després de definir els protocols de la primitiva primitius i el model de seguretat corresponent, proposem el nou esquema i demostrem formalment la seva seguretat, mitjançant una reducció a algun problema matemàtic computacionalment difícil

Lightweight identity based online/offline signature scheme for wireless sensor networks

Data security is one of the issues during data exchange between two sensor nodes in wireless sensor networks (WSN). While information flows across naturally exposed communication channels, cybercriminals may access sensitive information. Multiple traditional reliable encryption methods like RSA encryption-decryption and Diffie–Hellman key exchange face a crisis of computational resources due to limited storage, low computational ability, and insufficient power in lightweight WSNs. The complexity of these security mechanisms reduces the network lifespan, and an online/offline strategy is one way to overcome this problem. This study proposed an improved identity-based online/offline signature scheme using Elliptic Curve Cryptography (ECC) encryption. The lightweight calculations were conducted during the online phase, and in the offline phase, the encryption, point multiplication, and other heavy measures were pre-processed using powerful devices. The proposed scheme uniquely combined the Inverse Collusion Attack Algorithm (CAA) with lightweight ECC to generate secure identitybased signatures. The suggested scheme was analyzed for security and success probability under Random Oracle Model (ROM). The analysis concluded that the generated signatures were immune to even the worst Chosen Message Attack. The most important, resource-effective, and extensively used on-demand function was the verification of the signatures. The low-cost verification algorithm of the scheme saved a significant number of valued resources and increased the overall network’s lifespan. The results for encryption/decryption time, computation difficulty, and key generation time for various data sizes showed the proposed solution was ideal for lightweight devices as it accelerated data transmission speed and consumed the least resources. The hybrid method obtained an average of 66.77% less time consumption and up to 12% lower computational cost than previous schemes like the dynamic IDB-ECC two-factor authentication key exchange protocol, lightweight IBE scheme (IDB-Lite), and Korean certification-based signature standard using the ECC. The proposed scheme had a smaller key size and signature size of 160 bits. Overall, the energy consumption was also reduced to 0.53 mJ for 1312 bits of offline storage. The hybrid framework of identity-based signatures, online/offline phases, ECC, CAA, and low-cost algorithms enhances overall performance by having less complexity, time, and memory consumption. Thus, the proposed hybrid scheme is ideally suited for a lightweight WSN

Dense-Coding Attack on Three-Party Quantum Key Distribution Protocols

Cryptanalysis is an important branch in the study of cryptography, including both the classical cryptography and the quantum one. In this paper we analyze the security of two three-party quantum key distribution protocols (QKDPs) proposed recently, and point out that they are susceptible to a simple and effective attack, i.e. the dense-coding attack. It is shown that the eavesdropper Eve can totally obtain the session key by sending entangled qubits as the fake signal to Alice and performing collective measurements after Alice's encoding. The attack process is just like a dense-coding communication between Eve and Alice, where a special measurement basis is employed. Furthermore, this attack does not introduce any errors to the transmitted information and consequently will not be discovered by Alice and Bob. The attack strategy is described in detail and a proof for its correctness is given. At last, the root of this insecurity and a possible way to improve these protocols are discussed.Comment: 6 pages, 3 figure

A Strong and Efficient Certificateless Digital Signature Scheme

This paper extends the certificateless public key infrastructure model that was proposed by Hassouna et al by proposing new digital signature scheme to provide true non-repudiation, the proposed signature scheme is short and efficient, it is also has strength point that the KGC has no contribution in signature generation/verification process, therefore any compromise of the KGC does not affect the non-repudiation service of the system. Furthermore, even the KGC cannot do signature forgery by (temporary) replacing the user’s public key