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Secret Key Generation through the Multipath Fading of Reciprocal Channels in Multiple Domains.

Michael A. Forman, D. Young

Published Mar 1, 2009• 0 citations
OpenAlex

Abstract

Methods to generate private keys based on wireless channel characteristics have been proposed as an alternative to standard key-management schemes.In this paper, we discuss past work in the field and offer a generalized scheme for the generation of private keys using uncorrelated channels in multiple domains.Proposed cognitive enhancements measure channel coherence, to dynamically change transmission and reception parameters as well as estimate private key strength and expiration time.We evaluate a proof-of-concept implementation of this system in software using a channel model that provides variation in multiple domains. I. INTRODUCTIONFor a wireless communications link to be secure, it must provide data confidentiality and integrity during transmission.The principal method through which this is achieved is the use of cryptography, of which there are generally two types, public key [1] and private key [2].Public-key cryptography is a method for secret communication between two parties without the requirement of an initial exchange of secret keys.It employs a pair of keys, one private, which is held secret, and one public, which is distributed.Messages are encrypted with the recipient's public key and decrypted with the recipient's corresponding private key.Public-key cryptography is thus relatively unencumbered with key-exchange difficulties and key-interception vulnerabilities, however it is computationally intensive.Private-key cryptography is a method for secret communication between two parties that requires an initial exchange of a single shared secret key.Messages are encrypted by the sender and decrypted by the recipient using this same shared key.Private-key cryptography is less computationally intensive than public-key cryptography, however key distribution and management are problematic.Key distribution risks that the secret key will be intercepted during transmission.Key management requires the generation and transport of a different key for each communicating party [3].

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Methods to generate private keys based on wireless channel characteristics have been proposed as an alternative to standard key-management schemes.In this paper, we discuss past work in the field and offer a generalized scheme for the generation of private keys using uncorrelated channels in multiple domains.Proposed cognitive enhancements measure channel coherence, to dynamically change transmission and reception parameters as well as estimate private key strength and expiration time.We evaluate a proof-of-concept implementation of this system in software using a channel model that provides variation in multiple domains. I. INTRODUCTIONFor a wireless communications link to be secure, it must provide data confidentiality and integrity during transmission.The principal method through which this is achieved is the use of cryptography, of which there are generally two types, public key [1] and private key [2].Public-key cryptography is a method for secret communication between two parties without the requirement of an initial exchange of secret keys.It employs a pair of keys, one private, which is held secret, and one public, which is distributed.Messages are encrypted with the recipient's public key and decrypted with the recipient's corresponding private key.Public-key cryptography is thus relatively unencumbered with key-exchange difficulties and key-interception vulnerabilities, however it is computationally intensive.Private-key cryptography is a method for secret communication between two parties that requires an initial exchange of a single shared secret key.Messages are encrypted by the sender and decrypted by the recipient using this same shared key.Private-key cryptography is less computationally intensive than public-key cryptography, however key distribution and management are problematic.Key distribution risks that the secret key will be intercepted during transmission.Key management requires the generation and transport of a different key for each communicating party [3].
Due to the broadcast nature of wireless channels, wireless communication is vulnerable to eavesdropping, message modification, and node impersonation. Securing the wireless communication requires the shared secret keys between the communicating entities. Traditional security schemes rely on public key infrastructures and cryptographic algorithms to manage secret keys. Recently, many physical-layer-based methods have been proposed as alternative solutions for key generation in wireless networks. These methods exploit the inherent randomness of the wireless fading channel to generate secret keys while providing information-theoretical security without intensive cryptographic computations. This article provides an overview of the existing PHY-based key generation schemes exploiting the randomness of the wireless channels. Specifically, we first introduce the fundamental and general framework of the PHY-based key generation schemes and then categorize them into two classes: received-signal-strength-based and channel- phase-based protocols. Finally, we present a performance comparison of them in terms of key disagreement probability, key generation rate, key bit randomness, scalability, and implementation issues.
Encryption of confidential data with a secret key has become a widespread technique for securing wireless transmissions. However, existing key distribution methods that either deliver the secret key with a key distribution center or exchange the secret key using public-key cryptosystems are unable to establish perfect secret keys necessary for symmetric encryption techniques. This research considers secret key establishment, under the broad research area of information theoretic security, using the reciprocal wireless channel as common randomness for the extraction of perfect secret keys in multiple-input multiple-output (MIMO)communication systems. The presentation discusses the fundamental characteristics of the time-variant MIMO wireless channel and establishes a realistic channel simulation model useful for assessing key establishment algorithms. Computational examples show the accuracy and applicability of the model. The discussion then turns to an investigation of the influence of the spatial and temporal correlation of the channel coefficients on the bound of the key size generated from the common channel, and it is found that a sampling approach exists that can generate a key using the minimum sampling time. A practical key generation protocol is then developed based on an enhancement of a published channel coefficient quantization method that incorporates flexible quantization levels, public transmission of the correlation eigenvector matrix and low-density parity-check (LDPC) coding to improve key agreement. This investigation leads to the development of improved channel quantization techniques that dynamically shift the quantization boundaries at one node based on the information provided by the other node. Analysis based on a closed-form bound for the key error rate (KER) and simulations based on the channel model and measurement data show that the enhanced algorithms are able to dramatically reduce key mismatch and asymptotically approach the KER bound. Finally, other secret key generation algorithms based on channel-encryption rather than quantization are discussed, leading to a new concept for secret key generation using the common wireless channel.
Methods to generate private keys based on wireless channel characteristics have been proposed as an alternative to standard key-management schemes. In this paper, we discuss recent results in the implementation of a system for the generation of private keys for cryptographic communications using channel impulse-response estimation at 60 GHz. The testbed is composed of commercial millimeter-wave VubIQ transceivers, laboratory equipment, and software implemented in MATLAB. Novel cognitive enhancements are demonstrated, using channel estimation to dynamically change system parameters and estimate cryptographic key strength. We show for a complex channel that secret key generation can be accomplished on the order of 100 kb/s.
A less expensive and more flexible solution to the problem of sharing secret keys between wireless nodes is to use the inherent randomness in the wireless channel between them as the source for extracting bits of the secret key between these nodes. We propose a new secret key distribution approach that utilizes the uniformly distributed phase information of channel responses to extract shared cryptographic keys under narrowband multipath fading models. Compared to existing approaches which only support pair wise key distribution, our scheme is highly scalable and can support efficient group key distribution. Various key distribution schemes are appraised to determine the level of security and connectivity. Simulated results show that key distribution exploiting channel phase has improved resilience against node capture. them as the source for extracting bits of the secret key between these nodes. Shared secret key distribution from channel measurements is an application which benefits from the randomnessof the multipath channel. It would not, for example, work in a truly free-space environment (such as deep space radio links). Secret sharing benefits from: • Reciprocity of the wireless radio channel: The multipath properties of the radio channel (gains, phase shifts, and delays) at any point in time and on any given frequency channel are identical on both directions of the link. • Temporal variations in the radio channel: Over time, the multipath channel changes due to movement of either end of the link, and any motion of people and objects in the environment near the link. An application may specifically request a user to move or shake the wireless device in order to generate more temporal variation. • Spatial variations: The properties of the radio channel are unique to the locations of the two endpoints of the link. An eavesdropper at a third location more than a few wavelengths from either endpoint will measure a different, uncorrelated radio channel. The proposed scheme is more flexible and can be applied in both static and mobile environments. Our scheme introduces phase randomness to bit distribution and removes the reliance on node mobility to obtain high entropy bits. We evaluate the proposed schemes through both analytical and simulation studies. The parameters of the scheme can be selected such that a desired level of key distribution accuracy and reliability is achieved with high efficiency.
As an alternative and appealing approach to providing information security in wireless communication systems, secret key generation at physical layer has demonstrated its potential in terms of efficiency and reliability over traditional cryptographic methods. Without the necessity of a management centre for key distribution or reliance on computational complexity, physical layer key generation protocols enable two wireless entities to extract identical and dynamic keys from the randomness of the wireless channels associated with them.\nIn this thesis, the reliability of secret key generation at the physical layer is examined in practical wireless channels with imperfect channel state information (CSI). Theoretical analyses are provided to relate key match rate with channel's signal-to-noise ratio (SNR), degrees of channel reciprocity, and iterations of information reconciliation.\nIn order to increase key match rate of physical layer secret key generation, improved schemes in the steps of channel estimation and sample quantization are proposed respectively. In the channel estimation step, multiple observations of the wireless channels are integrated with a linear processor to provide a synthesized and more accurate estimation of the wireless channel. In the sample quantization step, a magnitude based quantization method with two thresholds is proposed to quantize partial samples, where specific quantization areas are selected to reduce cross-over errors. Significant improvements in key match rate are proven for both schemes in theoretical analysis and numerical simulations. Key match rate can even achieve 100% in both schemes with the assistance of information reconciliation process.\nIn the end, a practical application of physical layer secret key generation is presented, where dynamic keys extracted from the wireless channels are utilized for securing secret data transmission and providing efficient access control.
The multipath-rich wireless environment associated with typical wireless usage scenarios is characterized by a fading channel response that is time-varying, location-sensitive, and uniquely shared by a given transmitter–receiver pair. The complexity associated with a richly scattering environment implies that the shortterm fading process is inherently hard to predict and best modeled stochastically, with rapid decorrelation properties in space, time, and frequency. In this paper, we demonstrate how the channel state between a wireless transmitter and receiver can be used as the basis for building practical secret key generation protocols between two entities. We begin by presenting a scheme based on the “Reciprocity based key exchange model” allows two parties jointly establish  physically secure key combined with a (standard) computationally secure key, over an insecure communication channel. This key can then be used to encrypt subsequent communications. The channel state between a wireless transmitter and receiver can be used as the basis for building practical secret key generation protocols between two entities. We validate both proposed protocols through experimentations using a customized 802.11a platform, and show for the typical Wi-Fi channel that reliable secret key establishment can be accomplished at rates on the order of 11 b/s.