Sarvar Patel

Bio: Sarvar Patel is an academic researcher from Alcatel-Lucent. The author has contributed to research in topics: Key (cryptography) & Password. The author has an hindex of 21, co-authored 51 publications receiving 1940 citations.

Provably secure password-authenticated key exchange using Diffie-Hellman

Abstract: When designing password-authenticated key exchange protocols (as opposed to key exchange protocols authenticated using cryptographically secure keys), one must not allow any information to be leaked that would allow verification of the password (a weak shared key), since an attacker who obtains this information may be able to run an off-line dictionary attack to determine the correct password. We present a new protocol called PAK which is the first Diffie-Hellman-based password-authenticated key exchange protocol to provide a formal proof of security (in the random oracle model) against both passive and active adversaries. In addition to the PAK protocol that provides mutual explicit authentication, we also show a more efficient protocol called PPK that is provably secure in the implicit -authentication model. We then extend PAK to a protocol called PAK-X, in which one side (the client) stores a plaintext version of the password, while the other side (the server) only stores a verifier for the password. We formally prove security of PAK-X, even when the server is compromised. Our formal model for password-authenticated key exchange is new, and may be of independent interest.

Downlink scheduling in CDMA data networks

Abstract: Packet data is expected to dominate third generation wireless networks, unlike current generation voice networks. This opens up new and interesting problems. Physical and link layer issues have been studied extensively, while resource allocation and scheduling issues have not been addressed satisfactorily.In this work, we address resource management on the downlink of CDMA packet data networks. Network performance (for example, capacity) has been addressed, but user centric performance has not received much attention. Recently, various non-traditional scheduling schemes based on new metrics have been proposed, and target user performance (mostly without reference to wireless). We adapt these metrics to the CDMA context, and establish some new results for the offline scheduling problem. In addition, we modify a large class of online algorithms to work in our setup and conduct a wide range of experiments. Based on detailed simulations, we infer that: Algorithms which exploit “request sizes” seem to outperform those that do not. Among these, algorithms that also exploit channel conditions provide significantly higher network throughput.Depending on continuous or discretized bandwidth conditions, either pure time multiplexing or a combination of time and code multiplexing strikes an excellent balance between user satisfaction and network performance.Discrete bandwidth conditions can lead to degraded user level performance without much impact on network performance. We argue that the discretization needs to be fine tuned to address this shortcoming.

Password-authenticated key exchange based on RSA

Abstract: There have been many proposals in recent years for password-authenticated key exchange protocols, i.e., protocols in which two parties who share only a short secret password perform a key exchange authenticated with the password. However, the only ones that have been proven secured against offline dictionary attacks were based on Diffie–Hellman key exchange. We examine how to design a secure password-authenticated key exchange protocol based on RSA. In this paper, we first look at the OKE and protected-OKE protocols (both RSA-based) and show that they are insecure. Then we show how to modify the OKE protocol to obtain a password-authenticated key exchange protocol that can be proven secure (in the random oracle model). This protocol is very practical; in fact, it requires about the same amount of computation as the Diffie–Hellman-based protocols. Finally, we present an augmented protocol that is resilient to server compromise, meaning (informally) that an attacker who compromises a server would not be able to impersonate a client, at least not without running an offline dictionary attack against that client’s password.

Password-Authenticated Key Exchange Based on RSA

Abstract: There have been many proposals in recent years for password-authenticated key exchange protocols.Man y of these have been shown to be insecure, and the only ones that seemed likely to be proven secure (against active adversaries who may attempt to perform off-line dictionary attacks against the password) were based on the Diffie-Hellman problem.I n fact, some protocols based on Diffie-Hellman have been recently proven secure in the random-oracle model. We examine how to design a provably-secure password-authenticated key exchange protocol based on RSA. We first look at the OKE and protected-OKE protocols (both RSA-based) and show that they are insecure.Th en we show how to modify the OKE protocol to obtain a password-authenticated key exchange protocol that can be proven secure (in the random oracle model). The resulting protocol is very practical; in fact the basic protocol requires about the same amount of computation as the Diffie-Hellman-based protocols or the well-known ssh protocol.

SQUARE HASH: Fast Message Authenication via Optimized Universal Hash Functions

Abstract: This paper introduces two new ideas in the construction of fast universal hash functions geared towards the task of message authentication. First, we describe a simple but novel family of universal hash functions that is more efficient than many standard constructions. We compare our hash functions to the MMH family studied by Halevi and Krawczyk [12]. All the main techniques used to optimize MMH work on our hash functions as well. Second, we introduce additional techniques for speeding up our constructions; these techniques apply to MMH and may apply to other hash functions. The techniques involve ignoring certain parts of the computation, while still retaining the necessary statistical properties for secure message authentication. Finally, we give implementation results on an ARM processor. Our constructions are general and can be used in any setting where universal hash functions are needed; therefore they may be of independent interest.

A fuzzy vault scheme

Abstract: We describe a simple and novel cryptographic construction that we call a fuzzy vault. Alice may place a secret value /spl kappa/ in a fuzzy vault and "lock" it using an unordered set A of elements from some public universe U. If Bob tries to "unlock" the vault using an unordered set B, he obtains /spl kappa/ only if B is close to A, i.e., only if A and B overlap substantially.

Authenticated key exchange secure against dictionary attacks

Abstract: Password-based protocols for authenticated key exchange (AKE) are designed to work despite the use of passwords drawn from a space so small that an adversary might well enumerate, off line, all possible passwords. While several such protocols have been suggested, the underlying theory has been lagging. We begin by defining a model for this problem, one rich enough to deal with password guessing, forward secrecy, server compromise, and loss of session keys. The one model can be used to define various goals. We take AKE (with "implicit" authentication) as the "basic" goal, and we give definitions for it, and for entity-authentication goals as well. Then we prove correctness for the idea at the center of the Encrypted Key-Exchange (EKE) protocol of Bellovin and Merritt: we prove security, in an ideal-cipher model, of the two-flow protocol at the core of EKE.

HAIL: a high-availability and integrity layer for cloud storage

Abstract: We introduce HAIL (High-Availability and Integrity Layer), a distributed cryptographic system that allows a set of servers to prove to a client that a stored file is intact and retrievable. HAIL strengthens, formally unifies, and streamlines distinct approaches from the cryptographic and distributed-systems communities. Proofs in HAIL are efficiently computable by servers and highly compact---typically tens or hundreds of bytes, irrespective of file size. HAIL cryptographically verifies and reactively reallocates file shares. It is robust against an active, mobile adversary, i.e., one that may progressively corrupt the full set of servers. We propose a strong, formal adversarial model for HAIL, and rigorous analysis and parameter choices. We show how HAIL improves on the security and efficiency of existing tools, like Proofs of Retrievability (PORs) deployed on individual servers. We also report on a prototype implementation.

Protocols for Authentication and Key Establishment

Abstract: Protocols for authentication and key establishment are the foundation for security of communications. The range and diversity of these protocols is immense, while the properties and vulnerabilities of different protocols can vary greatly.This is the first comprehensive and integrated treatment of these protocols. It allows researchers and practitioners to quickly access a protocol for their needs and become aware of existing protocols which have been broken in the literature.As well as a clear and uniform presentation of the protocols this book includes a description of all the main attack types and classifies most protocols in terms of their properties and resource requirements. It also includes tutorial material suitable for graduate students.

Password-Based authenticated key exchange in the three-party setting

Abstract: Password-based authenticated key exchange are protocols which are designed to be secure even when the secret key or password shared between two users is drawn from a small set of values. Due to the low entropy of passwords, such protocols are always subject to on-line guessing attacks. In these attacks, the adversary may succeed with non-negligible probability by guessing the password shared between two users during its on-line attempt to impersonate one of these users. The main goal of password-based authenticated key exchange protocols is to restrict the adversary to this case only. In this paper, we consider password-based authenticated key exchange in the three-party scenario, in which the users trying to establish a secret do not share a password between themselves but only with a trusted server. Towards our goal, we recall some of the existing security notions for password-based authenticated key exchange protocols and introduce new ones that are more suitable to the case of generic constructions. We then present a natural generic construction of a three-party protocol, based on any two-party authenticated key exchange protocol, and prove its security without making use of the Random Oracle model. To the best of our knowledge, the new protocol is the first provably-secure password-based protocol in the three-party setting.