TAILIEUCHUNG - Fast Algorithms for Elliptic Curve Cryptosystems over Binary Finite Field

In the underlying finite field arithmetic of an elliptic curve cryptosystem, field multiplication is the next computational costly operation other than field inversion. We present two novel algorithms for efficient implementation of field multiplication and modular reduction used frequently in an elliptic curve cryptosystem defined over GF (2n ). | Fast Algorithms for Elliptic Curve Cryptosystems over Binary Finite Field Published in . Lam and E. Okamoto Eds. Advances in Cryptology ASIACRYPT 99 vol. 1716 of Lecture Notes in Computer Science pp. 75-85 Springer-Verlag 1999. Yongfei Han1 Peng-Chor Leong2 Peng-Chong Tan2 and Jiang Zhang1 1 Gemplus Corporate R D APDC Security Crypto Dept 89 Science Park Drive 04-01 05 Singapore 118261 yfh69@ 2 Centre for Advanced Information Systems School of Applied Science Nanyang Technological University Singapore 639798 Abstract. In the underlying finite field arithmetic of an elliptic curve cryptosystem field multiplication is the next computational costly operation other than field inversion. We present two novel algorithms for efficient implementation of field multiplication and modular reduction used frequently in an elliptic curve cryptosystem defined over GF 2n . We provide a complexity study of the two algorithms and present an implementation performance of the algorithms over GF 2167 . Keywords. Galois field arithmetic elliptic curve cryptosystems field multiplication modular reduction. 1 Introduction In 1985 Neil Koblitz and Victor Miller independently proposed the elliptic curve cryptosystem whose security rests on the discrete logarithm problem over points on an elliptic curve. Elliptic curve cryptography can be used to provide both a digital signature scheme and an encryption scheme. With the apparent advantage of high cryptographic strength relative to key size elliptic curve cryptosystems have gained much popularity in the implementation of discrete logarithm based public key protocols. The shorter key size generally leads to improved computational efficiencies and smaller storage and bandwidth requirements. Although elliptic curve cryptosystem can be based on finite field of any characteristic it is generally practical to implement within the prime or binary finite field . Certain classes of elliptic curves such as the subfield curves .

• An ninh - Bảo mật
• A New Approach
• Binary Finite Field
• Elliptic Curve Cryptosystems
• The Fast Algorithms
• The Modular Reduction
• The efficient implementation
• International Journal of Computer Science & Communication Networks
• DRID A new merging approach
• New merging approach
• The dataset availibity
• Listening skill
• Using pictures
• Improve listening skill
• Teaching method
• Learn foreign languages
• Non native learners
• The theory
• Hierarchic wave oscillation
• Dynamic systems
• New version
• period leading
• Resistance and Targeting
• Progesterone Receptors
• Therapeutic Approach
• Approach to Endometriosis
• Endometriosis
• A New Approach to the Mechanical Syntactic Analysis of Russian
• Ida Rhodes
• Mechanical Translation
• báo cáo khoa học
• báo cáo ngôn ngữ
• ngôn ngữ tự nhiên
• A new Approach to Improving Multilingual Summarization
• a Genetic Algorithm
• Marina Litvak Ben Gurion
• Question Answering as Question Biased Term Extraction
• Multilingual QA
• mô hình ngôn ngữ
• xử lý ngôn ngữ tự nhiên
• An IR Approach
• Translating New Words from Nonparallel
• Comparable Texts
• Semantic Analysis
• Japanese Noun Phrases
• A New Approach to Dictionary Based Understanding
• Constituent Based Morphological Parsing
• A New Approach to the Problem
• Word Recognition
• scientific reports
• model language
• process natural language
• Journal of Science and Technology
• A new approach of scale invariance
• Complex system and application
• Power line communication modelling
• Construction economics
• Markets for green buildings
• Market failure
• Government intervention
• Environmental economics
• The business case
• Sustainable construction
• A new approach for enery saving
• Household customers based smartgrid technologies
• The energy efficiency problem
• The upstream grid
• The end use customers
• Journal of Automation and Control Engineering
• A new approach to automated highway systems
• Global Navigation Satellite System
• The central components of the system
• Fast transportation on highways
• International Journal of Computer Networks and Communications Security
• New approach for healthcare information and communication systems
• Healthcare information and communication systems
• The European legislation requirements
• A new approach for beaconless geographical routing
• Wireless sensor networks
• Beaconless geographical routing
• Appropriate delay function independently
• Textbook New Headway Pre intermediate
• Grammar approach
• English grammar teaching
• Presentation Practic production
• Language teaching
• Nuclear engineering and technology
• A new approach to determine batch size
• The batch method in the Monte Carlo Eigenvalue calculation
• The Monte Carlo Eigenvalue calculation
• Fission probability matrix
• Geotextile mulch
• Yield and physico chemical qualities
• Physico chemical qualities of litchi
• New technical approach
• Moisture conservation
• Genre based approach
• Teaching new English 10
• English 10
• Systemic Functional Linguistics
• Improve students’ writing
• Low cost car sensor
• Road line tracking
• New approach in line tracking
• Self driving car
• Low cost uv organnic photosensor
• Isomerization Mannich
• α aminoester
• Enantioenriched forms
• Synthesis of sotolon in racemic
• New approach for the synthesis of sotolon
• Characterizing set
• Vector optimization problems
• Zero dualiy gap
• New approach to zero duality gap
• Zero duality gap
• Information and communication technology
• New approach for video concept detection based on user comments
• Video concept detection
• Keywords based video retrieval
• Social media tagging
• Natural language processing
• Foreign direct investment and financial development
• New insights threshold approach
• Financial development
• Foreign direct investment