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Design of AB^2 in galois fields Based on Multiple-Valued Logic

Journal of Beijing Institute of Technology 2019年第4期28卷 764-769页

作者： Haixia Wu Long He Xiaoran Li Yilong Bai Minghao Zhang School of Information and Electronics Beijing Institute of TechnologyBeijing 100081China

A new AB^2 operation in galois Field GF(24)is presented and its systolic realization based on multiple-valued logic(MVL)is proposed.The systolic structure of the operation employs multiple-valued current mode(MVCM)by using dynamic source-coupled logic(SCL)to reduce the transistor and wire counts,and the initial delay.The performance is evaluated by HSPICE simulation with 0.18.μm CMOS technology.A comparison is conducted between our proposed implementation and those reported in the literature.The transistor counts,the wire counts and the initial delay in our MVL design show savings of about 23%,45%,and 72%,in comparison with the corresponding binary CMOS implementation.The systolic architecture proposed is simple,regular,and modular,well suited for very large scale integration(VLSI)implementation.The combination of MVCM circuits and relevant algorithms based on MVL seems to be a potential solution for high performance arithmetic operations in GF(2^k).

关键词： multiple-valued logic(MVL) AB^2 operation galois fields

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Design of systolic B^N circuits in galois fields based on quaternary logic

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Journal of Beijing Institute of Technology 2014年第1期23卷 58-62页

作者：吴海霞屈晓楠何易瀚郑瑞沣仲顺安 School of Information and Electronics Beijing Institute of Technology

The BN operation is known as an efficient basic operation in galois fields GF （2k）, and various algorithms and implementations using binary logic signals have already been proposed. In or- der to reduce the circuit complexity and long latency of BN operations, a novel algorithm and its sys- tolic architecture are proposed based on multiple-value logic （MVL）. In the very large scale integra- tion （VLSI） realization, a kind of multiple-valued current-mode （MVCM） circuit structure is presen- ted and in which the combination of dynamic source-coupled logic （SCL） and different-pair circuits （DPCs） is employed to improve the switching speed and reduce the power dissipation. The perform- ance is evaluated by HSPICE simulation with 0.18 μm CMOS technology. The transistor numbers and the delay are superior to corresponding binary CMOS implementation. The combination of MVCM cir- cuits and relevant algorithms based on MVL seems to be potential solution for high performance a- rithmetic operationsin galois fields GF（2k）.

关键词： multiple-valued logic BN operation galois fields

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Systolic B-1 Circuit in galois fields Based on a Quaternary Logic Technique

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Journal of Beijing Institute of Technology 2020年第2期29卷 177-183页

作者： Haixia Wu Yilong Bai Tian Wang Xiaoran Li Long He School of Information and Electronics Beijing Institute of TechnologyBeijing 100081China

In order to improve the circuit complexity and reduce the long latency of B-1 operations,a novel B-1 operation in galois Field GF(24)is presented and the corresponding systolic realization based on multiple-valued logic(MVL)is proposed.The systolic structure employs multiplevalued current mode(MVCM)by using dynamic source-coupled logic(SCL)to reduce the initial delay and the transistor and wire counts.The performance is evaluated by HSPICE simulation in 0.18μm CMOS technology and a comparison is conducted between our proposed implementation and those reported in the literature.The initial delay and the sum of transistors and wires in our MVL design are about 43%and 13%lower,respectively,in comparison with other corresponding binary CMOS implementations.The systolic architecture proposed is simple,regular,and modular,well suited for very large scale integration(VLSI)implementations.The combination of MVCM circuits and relevant algorithms based on MVL seems to be a potential solution for high performance arithmetic operations in GF(2k).

关键词： multiple-valued logic(MVL) systolic B^-1 circuit galois fields

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An Efficient Three-Party Authenticated Key Exchange Procedure Using Chebyshev Chaotic Maps with Client Anonymity

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Computers, Materials & Continua 2023年第6期75卷 5337-5353页

作者： Akshaykumar Meshram Monia Hadj Alouane-Turki N.M.Wazalwar Chandrashekhar Meshram Department of Applied Mathematics Yeshwantrao Chavan College of EngineeringNagpur441110MaharashtraIndia Department of Statistics Rashtrasant Tukadoji Maharaj Nagpur UniversityNagpur440033MaharashtraIndia Department of Computer Science College of Computer ScienceKing Khalid UniversityAbhaSaudi Arabia Department of Post Graduate Studies and Research in Mathematics Jaywanti Haksar Government Post-Graduate CollegeCollege of Chhindwara UniversityBetul460001Madhya PradeshIndia

Internet of Things(IoT)applications can be found in various industry areas,including critical infrastructure and healthcare,and IoT is one of several technological developments.As a result,tens of billions or possibly hundreds of billions of devices will be linked together.These smart devices will be able to gather data,process it,and even come to decisions on their own.Security is the most essential thing in these situations.In IoT infrastructure,authenticated key exchange systems are crucial for preserving client and data privacy and guaranteeing the security of data-in-transit(e.g.,via client identification and provision of secure communication).It is still challenging to create secure,authenticated key exchange techniques.The majority of the early authenticated key agreement procedure depended on computationally expensive and resource-intensive pairing,hashing,or modular exponentiation processes.The focus of this paper is to propose an efficient three-party authenticated key exchange procedure(AKEP)using Chebyshev chaotic maps with client anonymity that solves all the problems mentioned above.The proposed three-party AKEP is protected from several attacks.The proposed three-party AKEP can be used in practice for mobile communications and pervasive computing applications,according to statistical experiments and low processing costs.To protect client identification when transferring data over an insecure public network,our three-party AKEP may also offer client anonymity.Finally,the presented procedure offers better security features than the procedures currently available in the literature.

关键词： Client anonymity Chebyshev chaotic maps authenticated key exchange statistical experiment galois fields

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A High-Speed Area-Efficient Architecture for the Arithmetic in GF（2m）

A High-Speed Area-Efficient Architecture for the Arithmetic ...

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2006 8th International Conference on Solid-State and Integrated Circuit Technology

作者： Jian Wang Anping Jiang Department of Microelectronics Peking University

＜正＞Finite fields have been used for numerous applications including error-control coding and cryptography.This paper presents a high-speed area-efficient architecture for arithmetic that can support arbitrary irreducible polynomials in GF（2m）. The arithmetic unit can perform the galois field arithmetic operations of addition,subtraction, multiplication,squaring,inversion and division.The least significant bit first（LSB-first） scheme for modular multiplication and the extended Euclid’s algorithm for modular inversion are both modified for the arithmetic unit.The architecture has been implemented using 0.18-μm CMOS standard cell library,the clock frequency can reach 300MHz for a 512-bit arithmetic unit.The gate count of the circuit is only 48528.

关键词： Cryptography galois fields Euclid’s algorithm VLSI implementation

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