• Journal of the Korea Institute of Information Security & Cryptology
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• v.22 no.5
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• pp.999-1007
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• 2012

Multi-precision multiplication over public key cryptography should be considered for performance enhancement due to its computational complexity. Particularly, embedded device is not suitable to execute high complex computation, public key cryptography, because of its limited computational power and capacity. To overcome this flaw, research on multi-precision multiplication with fast computation and small capacity is actively being conducted. In the paper, we explore the cutting-edge technology of multi-precision multiplication for efficient implementation of public key cryptography over sensor network. This survey report will be used for further research on implementation of public key cryptography over sensor network.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.41 no.9
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• pp.73-84
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• 2004

This paper suggests a new scalar multiplication algerian to resist SPA which threatens the security of cryptographic primitive on the hardware recently, and discusses how to apply this algerian Our algorithm is better than other SPA countermeasure algorithms aspect to computational efficiency. Since known SPA countermeasure algorithms have dependency of computation. these are difficult to construct parallel architecture efficiently. To solve this problem our algorithm removes dependency and computes a multiplication and a squaring during inversion with parallel architecture in order to minimize loss of performance. We implement hardware logic with VHDL(VHSIC Hardware Description Language) to verify performance. Synthesis tool is Synplify Pro 7.0 and target chip is Xillinx VirtexE XCV2000EFGl156. Total equivalent gate is 60,508 and maximum frequency is 30Mhz. Our scalar multiplier can be applied to digital signature, encryption and decryption, key exchange, etc. It is applied to a embedded-micom it protects SPA and provides efficient computation.

• The Transactions of the Korea Information Processing Society
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• v.7 no.1
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• pp.266-272
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• 2000

The square-based multiplication using look-up table simplifies the process and speeds-up the operating speed. However, the look-up table size increases exponentially as bit size increases. Recently, Wey and Shieh introduced a noble design of square generator circuit using a folding approach for high-speed performance applications. The design uses the ones complement values of ROM addresses to fold the huge look-up ROM table repeatedly such that a much smaller table can be sufficient to store the squares. We present new folding techniques that do not require a ones complement part, one of three major parts in the Wey and Shiehs method. Also the proposed techniques reduce the bit size of partial sums such that the hardware implementation be simplified and the performance be enhanced.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.40 no.5
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• pp.833-840
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• 2015

In this paper, we are interested in a generalization of zero-knowledge interactive protocols between prover and verifier, especially to show that the product of an encrypted polynomial and a random polynomial, but published by a secure commitment scheme was correctly computed by the prover. To this end, we provide a generalized protocol for proving that the resulting polynomial is correctly computed by an encrypted polynomial and another committed polynomial. Further we show that the protocol is also secure in the random oracle model. We expect that our generalized protocol can play a role of building blocks in implementing secure multi-party computation including private set operations.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.17 no.1
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• pp.76-89
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• 2013

In this paper, we propose a novel optical fault detection scheme for RSA hardware based on Montgomery exponentiation, which can effectively detect optical fault injection during the exponent calculation. To protect the RSA hardware from the optical fault injection attack, we implemented integrity check logic for memory and optical fault detection logic for Montgomery-based multiplier. The proposed scheme is considered to be safe from various type of attack and it can be implemented with no additional operation time and small area overhead which is less than 3%.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.8 no.1
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• pp.39-52
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• 1998

본 논문에서는 모듈러 지수승시에 요구되는 모듈러 곱셈의 반복 횟수를 줄이기 위해 SM(m)기법을 제안하며 지수를 SM(m)표현과 시스톨릭 SM(m) 표현으로 변환한다.그리고 변환된 스스톨릭 SM(m) 표현으로부터 모듈러 지수연산을 위한 선형시스톨릭 어레이를 제시한다. 제안된 기법은 기존의 방법보다 소프트웨어로 구현시에 선 계산기에 필요한 기업 장소의 크기를 줄였으며, 선형 시스톨릭 어레이로 구현시에 기존의 방법들보다 처리기의 개수를 감소시키며, 처리기내에 필요한 기억 장소의 크기를 줄였다. 수정된 부호화 디지트 기법과 비교하면 처리기의 개수를 24%정도 줄일 수 있다.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.45 no.2
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• pp.82-92
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• 2008

Recently, many digital signal processing(DSP) applications such as H.264, CDMA and MP3 are predominant tasks for modern high-performance portable devices. These applications are generally computation-intensive, and therefore, require quite complicated accelerator units to improve performance. Designing such specialized, yet fixed DSP accelerators takes lots of effort. Therefore, DSPs with multiple accelerators often have a very poor time-to-market and an unacceptable area overhead. To avoid such long time-to-market and high-area overhead, dynamically reconfigurable DSP architectures have attracted a lot of attention lately. Dynamically reconfigurable DSPs typically employ a multi-functional DSP accelerator which executes similar, yet different multiple kinds of computations for DSP applications. With this type of dynamically reconfigurable DSP accelerators, the time to market reduces significantly. However, integrating multiple functionalities into a single IP often results in excessive control and area overhead. Therefore, delay and power consumption often turn out to be quite excessive. In this thesis, to reduce power consumption of dynamically reconfigurable IPs, we propose a novel fine-grained clock gating scheme, and to reduce size of dynamically reconfigurable IPs, we propose a compact multiplier-less multiplication unit where shifters and adders carry out constant multiplications.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.38 no.12
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• pp.56-65
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• 2001

This paper proposes an algorithm for the capacitance extraction of general 3-dimensional conductors in an ideal uniform dielectric that uses a high-order quadrature approximation method combined with the typical first-order collocation method to enhance the accuracy and adopts an efficient matrix-vector product algorithm for the model-order reduction to achieve efficiency. The proposed method enhances the accuracy using the quadrature method for interconnects containing corners and vias that concentrate the charge density. It also achieves the efficiency by reducing the model order using the fact that large parts of system matrices are of numerically low rank. This technique combines an SVD-based algorithm for the compression of rank-deficient matrices and Gram-Schmidt algorithm of a Krylov-subspace iterative technique for the rapid multiplication of matrices. It is shown through the performance evaluation procedure that the combination of these two techniques leads to a more efficient algorithm than Gaussian elimination or other standard iterative schemes within a given error tolerance.

• The Journal of the Korea institute of electronic communication sciences
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• v.15 no.3
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• pp.479-486
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• 2020

In this paper, we present a design method for improving the linearity and dynamic range of the analog current mode multiplier circuit, which is one of the key devices in an analog current mode AI processor. The proposed circuit consists of 4 quadrant translinear loops made up of NMOS transistors only, which minimizes physical mismatches of the transistors. The proposed circuit can be implemented at 117㎛ × 109㎛ in 0.35㎛ CMOS process and has a total harmonic distortion of 0.3%. The proposed analog current mode multiplier is expected to be useful as the core circuit of a current mode AI processor.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.16 no.1
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• pp.143-152
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• 2012

In this paper hardware implementation of GF($2^{191}$) elliptic curve cryptographic coprocessor which supports 7 operations such as scalar multiplication(kP), Menezes-Vanstone(MV) elliptic curve cipher/decipher algorithms, point addition(P+Q), point doubling(2P), finite-field multiplication/division is described. To meet structure resistant against simple power analysis, the ECC processor adopts the Montgomery scalar multiplication scheme which main loop operation consists of the key-independent operations. It has operational characteristics that arithmetic units, such GF_ALU, GF_MUL, and GF_DIV, which have 1, (m/8), and (m-1) fixed operation cycles in GF($2^m$), respectively, can be executed in parallel. The processor has about 68,000 gates and its simulated worst case delay time is about 7.8 ns under 0.35um CMOS technology. Because it has about 320 kbps cipher and 640 kbps rate and supports 7 finite-field operations, it can be efficiently applied to the various cryptographic and communication applications.