Use of elliptic curves in cryptography
Lecture notes in computer sciences; 218 on Advances in cryptology---CRYPTO 85
A fast elliptic curve cryptosystem
EUROCRYPT '89 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
Algebraic aspects of cryptography
Algebraic aspects of cryptography
Efficient Arithmetic on Koblitz Curves
Designs, Codes and Cryptography - Special issue on towards a quarter-century of public key cryptography
Elliptic curves in cryptography
Elliptic curves in cryptography
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
A verifiable secret shuffle and its application to e-voting
CCS '01 Proceedings of the 8th ACM conference on Computer and Communications Security
Fast Multiplication on Elliptic Curves over GF(2m) without Precomputation
CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
A Scalable Dual-Field Elliptic Curve Cryptographic Processor
IEEE Transactions on Computers
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FCCM '99 Proceedings of the Seventh Annual IEEE Symposium on Field-Programmable Custom Computing Machines
Guide to Elliptic Curve Cryptography
Guide to Elliptic Curve Cryptography
A Scalable Architecture for Modular Multiplication Based on Montgomery's Algorithm
IEEE Transactions on Computers
A Parallelized Design for an Elliptic Curve Cryptosystem Coprocessor
ITCC '05 Proceedings of the International Conference on Information Technology: Coding and Computing (ITCC'05) - Volume I - Volume 01
An Improved Unified Scalable Radix-2 Montgomery Multiplier
ARITH '05 Proceedings of the 17th IEEE Symposium on Computer Arithmetic
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IEEE Transactions on Computers
An Adaptable And Scalable Asymmetric Cryptographic Processor
ASAP '06 Proceedings of the IEEE 17th International Conference on Application-specific Systems, Architectures and Processors
Superscalar coprocessor for high-speed curve-based cryptography
CHES'06 Proceedings of the 8th international conference on Cryptographic Hardware and Embedded Systems
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CRYPTO'05 Proceedings of the 25th annual international conference on Advances in Cryptology
Low-Cost elliptic curve cryptography for wireless sensor networks
ESAS'06 Proceedings of the Third European conference on Security and Privacy in Ad-Hoc and Sensor Networks
RFID security and privacy: a research survey
IEEE Journal on Selected Areas in Communications
A high performance ECC hardware implementation with instruction-level parallelism over GF(2163)
Microprocessors & Microsystems
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We present a high-speed public-key cryptoprocessor that exploits three-level parallelism in Elliptic Curve Cryptography (ECC) over GF(2n). The proposed cryptoprocessor employs a Parallelized Modular Arithmetic Logic Unit (P-MALU) that exploits two types of different parallelism for accelerating modular operations. The sequence of scalar multiplications is also accelerated by exploiting Instruction-Level Parallelism (ILP) and processing multiple P-MALU instructions in parallel. The system is programmable and hence independent of the type of the elliptic curves and scalar multiplication algorithms. The synthesis results show that scalar multiplication of ECC over GF(2163) on a generic curve can be computed in 20 and 16 µs respectively for the binary NAF (Non-Adjacent Form) and the Montgomery method. The performance can be accelerated furthermore on a Koblitz curve and reach scalar multiplication of 12 µs with the TNAF (τ-adic NAF) method. This fast performance allows us to perform over 80,000 scalar multiplications per second and to enhance security in wireless mobile applications.