• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2017.10a
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• pp.247-249
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• 2017

NIST에서 표준으로 정의된 P-192, P-224, P-256, P-384 타원곡선 상의 스칼라 곱셈(scalar multiplication) 연산을 지원하는 Scalable 타원곡선 암호(Elliptic Curve Cryptography; ECC) 프로세서의 설계에 대해 기술한다. 투영(projective) 좌표계를 이용하여 하드웨어 자원 소모가 큰 나눗셈 연산을 제거하였으며, GF(p) 상의 덧셈, 뺄셈, 곱셈 등의 유한체 연산을 지원한다. 워드 기반 몽고메리 곱셈기를 이용하여 다양한 크기의 필드(field)에서 고정된 하드웨어 자원을 통하여 곱셈 연산을 수행하도록 하였으며, 필드의 크기에 따라 연산 사이클이 증가하거나 감소한다. 설계된 Scalable ECC 프로세서는 Verilog HDL로 모델링 되었으며, Modelsim을 이용한 기능검증을 하였다. Xilinx Virtex5 FPGA 디바이스 합성결과 5,376-비트 RAM과 970 슬라이스로 구현되었으며, 최대 55 MHz의 동작 주파수를 갖는다.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2016.10a
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• pp.762-764
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• 2016

The ECQV(Elliptic Curve Qu-Vanstone) is a implicit certificate scheme based on ECC(Elliptic Curve Cryptography). Implicit certificates are smaller and faster than a traditional explicit certificate. Therefore, it can be used in a memory or bandwidth constraint communication environments. Also, the butterfly key expansion algorithm is a method to issue many certificates by using only one public key. In this study, by applying the butterfly key expansion algorithm to ECQV, we suggest a new useful issuing certificate method that can be used in vehicular communication environments.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.40 no.10
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• pp.1958-1968
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• 2015

Things intelligence communication (M2M or IoT) service activation and global company of OneM2M-related business on aggressive investing and has led to the acceleration of change in the ICT market. But a variety of hacking security technology because of the possibility of secure communication (data exposure, theft, modification, deletion, etc.) has been issued as an important requirement. In this paper, we propose a mutual authentication protocol for secure communications chameleon hash based on the M2M environment. The results of performance analysis efficiency is encryption and decryption an average of 0.7%, calculated rate showed good results as compared to the target algorithm, equivalent to a 3%(Average 0.003 seconds) difference, mutual authentication and encryption region by using the key update advantage of ECC(Elliptic Curve Cryptography)based Chameleon hash function is signed of the operational efficiency, using a collision message verifiable properties demonstrated strong security of the communication section.

• Journal of Korea Society of Digital Industry and Information Management
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• v.15 no.4
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• pp.71-84
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• 2019

Various researchers conducted the research on two-factor authentication suitable for wireless sensor networks (WSNs) after Das first proposed two-factor authentication combining the smart card and password. After then, To improve the security of user authentication, elliptic curve cryptography(ECC)-based authentication protocols have been proposed. Jiang et al. proposed a privacy-aware two-factor authentication protocol based on ECC for WSM for resolving various problems of ECC-based authentication protocols. However, Jiang et al.'s protocol has the vulnerabilities on a lack of mutual authentication, a risk of SID modification and a lack of sensor anonymity, and user's ID exposed on sensor node Therefore, this paper proposed security enhanced privacy-aware two-factor authentication protocol for wireless sensor networks to solve the problem of Jiang et al.'s protocol, and security analysis was conducted for the proposed protocol.

• Annual Conference of KIPS
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• 2002.04b
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• pp.891-894
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• 2002

최근 일반인들을 대상으로 인터넷 서비스가 보편화되면서 인터넷 뱅킹이나 전자 상거래등을 통해 구매정보나 지불 정보 혹은 개인 신상 정보 등과 같은 중요한 정보의 전송에 보안의 중요성이 더욱 증대되어지고 있는 실정이다. 본 논문에서는 자바 카드와 ECC/ECDSA 알고리즘을 소개하고, 현재 자바 카드에서 지원하지 않는 ECC/ECDSA 알고리즘을 설계하여 자바 카드에 장착하였다. 그러므로 자바 카드를 이용하여 중요한 정보를 암호화/복호화 할 수 있도록 구현하였다. 또한, 인증서에서 사용하는 키들을 자바 스마트 카드를 사용하여 제공하는 방법을 제안하였다.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.25 no.8
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• pp.1095-1102
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• 2021

A scalable ECC architecture with high scalability and flexibility between performance and hardware complexity is proposed. For architectural scalability, a modular arithmetic unit based on a one-dimensional array of processing element (PE) that performs finite field operations on 32-bit words in parallel was implemented, and the number of PEs used can be determined in the range of 1 to 8 for circuit synthesis. A scalable algorithms for word-based Montgomery multiplication and Montgomery inversion were adopted. As a result of implementing scalable ECC processor (sECCP) using 180-nm CMOS technology, it was implemented with 100 kGEs and 8.8 kbits of RAM when N_PE=1, and with 203 kGEs and 12.8 kbits of RAM when N_PE=8. The performance of sECCP with N_PE=1 and N_PE=8 was analyzed to be 110 PSMs/sec and 610 PSMs/sec, respectively, on P256R elliptic curve when operating at 100 MHz clock.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.26 no.7
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• pp.1071-1077
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• 2022

A security SoC that can be used to implement elliptic curve cryptography (ECC) based public-key infrastructures was designed. The security SoC has an architecture in which a hardware accelerator for the elliptic curve digital signature algorithm (ECDSA) is interfaced with the Cortex-A53 CPU using the AXI4-Lite bus. The ECDSA hardware accelerator, which consists of a high-performance ECC processor, a SHA3 hash core, a true random number generator (TRNG), a modular multiplier, BRAM, and control FSM, was designed to perform the high-performance computation of ECDSA signature generation and signature verification with minimal CPU control. The security SoC was implemented in the Zynq UltraScale+ MPSoC device to perform hardware-software co-verification, and it was evaluated that the ECDSA signature generation or signature verification can be achieved about 1,000 times per second at a clock frequency of 150 MHz. The ECDSA hardware accelerator was implemented using hardware resources of 74,630 LUTs, 23,356 flip-flops, 32kb BRAM, and 36 DSP blocks.

• The Journal of the Korea Contents Association
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• v.6 no.11
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• pp.225-234
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• 2006

In this paper, we design a combined security processor, ECC, MD-5, and AES, as a SIP for cryptography of securing contents. Each SIP is modeled and designed in VHDL and implemented as a reusable macro through logic synthesis, simulation and FPGA verification. To communicate with an ARM9 core, we design a BFM(Bus Functional Model) according to AMBA AHB specification. The combined security SIP for a platform-based SoC is implemented by integrating ECC, AES and MD-5 using the design kit including the ARM9 RISC core, one million-gate FPGA. Finally, it is fabricated into a MPW chip using Magna chip $0.25{\mu}m(4.7mm{\times}4.7mm$) CMOS technology.

• KSII Transactions on Internet and Information Systems (TIIS)
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• v.12 no.9
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• pp.4527-4547
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• 2018

Signcryption is a cryptographic primitive that provides authentication (signing) and confidentiality (encrypting) simultaneously at a lower computational cost and communication overhead. With the proposition of certificateless public key cryptography (CLPKC), certificateless signcryption (CLSC) scheme has gradually become a research hotspot and attracted extensive attentions. However, many of previous CLSC schemes are constructed based on time-consuming pairing operation, which is impractical for mobile devices with limited computation ability and battery capacity. Although researchers have proposed pairing-free CLSC schemes to solve the issue of efficiency, many of them are in fact still insecure. Therefore, the challenging problem is to keep the balance between efficiency and security in CLSC schemes. In this paper, several existing CLSC schemes are cryptanalyzed and a new CLSC scheme without pairing based on elliptic curve cryptosystem (ECC) is presented. The proposed CLSC scheme is provably secure against indistinguishability under adaptive chosen-ciphertext attack (IND-CCA2) and existential unforgeability under adaptive chosen-message attack (EUF-CMA) resting on Gap Diffie-Hellman (GDH) assumption and discrete logarithm problem in the random oracle model. Furthermore, the proposed scheme resists the ephemeral secret leakage (ESL) attack, public key replacement (PKR) attack, malicious but passive KGC (MPK) attack, and presents efficient computational overhead compared with the existing related CLSC schemes.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.13 no.10
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• pp.2154-2162
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• 2009

This paper describes a scalar multiplier for Elliptic curve cryptography for smart card security. The scaler multiplier has 163-bits key size which supports the specifications of smart card standard. To reduce the computational complexity of scala multiplication on finite field, the non-adjacent format (NAF) conversion algorithm which is based on complementary recoding is adopted. The scalar multiplier core synthesized with a 0.35-${\mu}m$ CMOS cell library has 32,768 gates and can operate up to 150-MHz@3.3-V. It can be used in hardware design of Elliptic curve cryptography processor for smartcard security.