High Performance Implementation of a Public Key Block Cipher - MQQ, for FPGA Platforms

El-Hadedy, Mohamed; Gligoroski, Danilo; Knapskog, Svein J.

doi:10.1109/reconfig.2008.11

Cited by 23 publications

(24 citation statements)

References 15 publications

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“…This algorithm depends on multivariate polynomial changes of almost quadratic and grouped having the accompanying properties [30,31]. Highly parallelizable not at all like different calculations that are basically successive, the encryption acceleration is practically identical to different cryptosystems public key in view of multivariate quadratic, the decryption algorithm is same as of a symmetric block chipper, and post-Quantum Algorithm, As indicated by El-Hadely and Maia [32,31] investigations demonstrated that the equipment MQQ can be as quick as a run of the mill symmetric block cipher, being a few requests of extent quicker than algorithm, for example, RSA, DH and ECC.…”

Section: Multivariate Quadratic Almost Group (Mqq) -mentioning

confidence: 99%

A Key Management Techniques in Wireless Sensor Networks

Ahmed¹,

Salah²,

El‐Sayed³

2017

CAE

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Wireless sensor networks are visualized in military, medicinal services applications and business, where the data at these filed is very important. Security of the information in the system relies on the cryptographic strategy and the techniques in which encryption and decryption keys are built up among the nodes. Dealing with the keys in the system incorporates node validation, key understanding and key refresh stages which represents an extra overhead on system assets. Both Symmetric and Asymmetric key methods when connected independently in WSN neglects to give a design reasonable to extensive variety of utilizations.

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Section: Multivariate Quadratic Almost Group (Mqq) -mentioning

confidence: 99%

A Key Management Techniques in Wireless Sensor Networks

Ahmed¹,

Salah²,

El‐Sayed³

2017

CAE

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“…Furthermore according to El-Hadely and Maia [2,34] experiments showed that the hardware MQQ can be as fast as a typical symmetric block cipher, being several orders of magnitude faster than algorithms such as RSA, DH and ECC.…”

Section: Multivariate Quadratic Quasigroup (Mqq)mentioning

confidence: 99%

“…Performance comparison of RSA, ECC and MQQ in CPU cycles. [42] According to [2] that implemented in FPGA a 160bit instance of the newly published public key scheme MQQ, the results of their implementation and the Table 4 show that in hardware, MQQ public key algorithm in encryption and decryption (that means also in verication and signing) can be as fast as a typical block cipher and is several orders of magnitude faster than most popular public key algorithms like RSA, DH or ECC. …”

Section: Groupmentioning

confidence: 99%

Asymmetric Encryption in Wireless Sensor Networks

Quirino¹,

Ribeiro²,

Moreno³

2012

Wireless Sensor Networks - Technology and Protocols

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Additional information is available at the end of the chapter http://dx.doi.org/10.5772/48464 IntroductionA Wireless Sensor Network (WSN) is composed of autonomous devices called sensor nodes that generally have low computational power, limited data transmission and power constraints. A WSN consists of sensor nodes that capturing information from an environment, processing data and transmitting them via radio signals. WSNs are increasingly present in our days and can be found in environmental area (climatic measurements, presence of smoke), in health area (measurement of vital signs, temperature), home automation (motion sensor and image sensor) and other areas. Generally, WSNs have no fixed structure, and in many cases there is no monitoring station of sensor nodes during the operational life of the network, so a WSN must have mechanisms for self-configuration and adaptation in case of failure, inclusion or exclusion of a sensor node. Security requirements of WSNs are similar to conventional computer networks, therefore parameters such as confidentiality, integrity, availability and authenticity must be taken into account in creation of a network environment. Due to limitations of WSNs, not all security solutions designed for conventional computer networks can be implemented directly in WSN. For a long time, it was believed that the public key cryptography was not suitable for WSNs because it was required high processing power, but through studies of encryption algorithms based on curves was verified the feasibility of that technique in WSN.The cryptographic algorithm RSA is currently the most used among the asymmetric algorithms, working from the difficulty of factoring large prime numbers. Standardized by NIST 1 , this algorithm is widely used in transactions on the Internet. The algorithms Elliptic / Hyperelliptic Curve Cryptography (ECC / HECC) were created in 80s, and are based on the difficulty of solving the discrete logarithm problem on elliptic curves and hyperelliptic respectively. Despite its complexity the algorithm based on elliptic and hyperelliptic curves have been extensively studied in academia. Recently, the public key algorithm called 1 U.S. Agency for technology that has a partnership with industry to develop and apply technology, measurements and standards. Further information: www.nist.gov

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“…The scheme combines the advantages of both the MQ polynomials and quasigroups. On the one hand, as it only needs the basic operations of XOR and AND between bits during the encryption and decryption processes, MQQ scheme performs several orders of magnitude faster than the traditional public key algorithms like RSA, DH or ECC [13]. On the other hand, the key space of MQQ scheme is large enough against an exhaustive key-search attack [12].…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, the key space of MQQ scheme is large enough against an exhaustive key-search attack [12]. Moreover, this scheme offers flexibility in its implementation from parallelization point of view [13]. In a recent work [14], MQQ scheme has been successfully used in wireless sensor network.…”

Section: Introductionmentioning

confidence: 99%

An Algorithm for Judging and Generating Bilinear Multivariate Quadratic Quasigroups

Zhangand¹,

Zhang²

2013

Appl. Math. Inf. Sci.

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Multivariate Quadratic Quasigroups (MQQs) as a suitable class of quasigroups for multivariate public key cryptography recently have been an important mathematical tool in information security field. In this paper, we propose a necessary and sufficient condition to verify whether a quasigroup given by its multiplication table is a bilinear MQQ, which shows that checking whether an arbitrary quasigroup is a bilinear MQQ is equivalent to solving a simple matrix equation. Based on this condition, a deterministic algorithm is proposed to judge whether a given quasigroup is a bilinear MQQ and then obtain the corresponding Boolean functions if it is. An example is given to show the validity of our results.

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High Performance Implementation of a Public Key Block Cipher - MQQ, for FPGA Platforms

Cited by 23 publications

References 15 publications

A Key Management Techniques in Wireless Sensor Networks

A Key Management Techniques in Wireless Sensor Networks

Asymmetric Encryption in Wireless Sensor Networks

An Algorithm for Judging and Generating Bilinear Multivariate Quadratic Quasigroups

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