• Journal of the Korea Institute of Information and Communication Engineering
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• v.21 no.6
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• pp.1083-1091
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• 2017

This paper describes a design of cryptographic processor supporting 224-bit elliptic curves over prime field defined by NIST. Scalar point multiplication that is a core arithmetic function in elliptic curve cryptography(ECC) was implemented by adopting the modified Montgomery ladder algorithm. In order to eliminate division operations that have high computational complexity, projective coordinate was used to implement point addition and point doubling operations, which uses addition, subtraction, multiplication and squaring operations over GF(p). The final result of the scalar point multiplication is converted to affine coordinate and the inverse operation is implemented using Fermat's little theorem. The ECC processor was verified by FPGA implementation using Virtex5 device. The ECC processor synthesized using a 0.18 um CMOS cell library occupies 2.7-Kbit RAM and 27,739 gate equivalents (GEs), and the estimated maximum clock frequency is 71 MHz. One scalar point multiplication takes 1,326,985 clock cycles resulting in the computation time of 18.7 msec at the maximum clock frequency.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.46 no.1
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• pp.39-44
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• 2009

The advance of communication and networking technology enables high bandwidth multimedia data transmission. The development of high performance compression technology such as H.264 also encourages high quality video and audio data transmission. The trend requires efficient protection system for digital media rights. We propose an efficient digital media protection system using elliptic curve cryptography. Only key parameters are encrypted to reduce the burden of complex encryption and decryption in the proposed system, and the digital media are not played back or the quality is degraded if the encrypted information is missing. We need a playback system with an ECC processor to implement the proposed system. We implement an H.264 decoding system with a configurable ECC processor to verify the proposed protection system We verify that the H.264 movie is not decoded without the decrypted information.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.30 no.3C
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• pp.176-184
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• 2005

In this paper, we implemented an Elliptic Curve Cryptography(ECC) processor for Digital Transmission Contents Protection (DTCP), which is a standard for protecting various digital contents in the network. Unlikely to other applications, DTCP uses ECC algorithm which is defined over GF(p), where p is a 160-bit prime integer. The core arithmetic operation of ECC is a scalar multiplication, and it involves large amount of very long integer modular multiplications and additions. In this paper, the modular multiplier was designed using the well-known Montgomery algorithm which was implemented with CSA(Carry-save Adder) and 4-level CLA(Carry-lookahead Adder). Our new ECC processor has been synthesized using Samsung 0.18 m CMOS standard cell library, and the maximum operation frequency was estimated 98 MHz, with the size about 65,000 gates. The resulting performance was 29.6 kbps, that is, it took 5.4 msec to process a 160-bit data frame. We assure that this performance is enough to be used for digital signature, encryption and decryption, and key exchanges in real time environments.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.22 no.9
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• pp.1257-1263
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• 2018

Secure authentication technology is a fundamental building block for secure services for Internet of Things devices. Particularly, the multiplication operation is a core operation of public key cryptography, such as RSA, ECC, and SIDH. However, modern low-power processor, namely ARM Cortex-M3 processor, is not secure enough for practical usages, since it executes the multiplication operation in variable-time depending on the input length. When the execution is performed in variable-time, the attacker can extract the password from the measured timing. In order to resolve this issue, recent work presented constant-time solution for multiplication operation. However, the implementation still missed various speed-optimization techniques. In this paper, we analyze previous multiplication methods over ARM Cortex-M3 and provide optimized implementations to accelerate the speed-performance further. The proposed method successfully accelerates the execution-time by up-to 25.7% than previous works.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.20 no.2
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• pp.351-358
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• 2016

This paper describes an efficient hardware implementation of lightweight block cipher algorithm CLEFIA. The CLEFIA crypto-processor supports for three master key lengths of 128/192/256-bit, and it is based on the modified generalized Feistel network (GFN). To minimize hardware complexity, a unified processing unit with 8 bits data-path is designed for implementing GFN that computes intermediate keys to be used in round key scheduling, as well as carries out round transformation. The GFN block in our design is reconfigured not only for performing 4-branch GFN used for round transformation and intermediate round key generation of 128-bit, but also for performing 8-branch GFN used for intermediate round key generation of 256-bit. The CLEFIA crypto-processor designed in Verilog HDL was verified by using Virtex5 XC5VSX50T FPGA device. The estimated throughput is 81.5 ~ 60 Mbps with 112 MHz clock frequency.

• 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.

• ETRI Journal
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• v.30 no.3
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• pp.365-376
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• 2008

This paper presents the design and implementation of a hyperelliptic curve cryptography (HECC) coprocessor over affine and projective coordinates, along with measurements of its performance, hardware complexity, and power consumption. We applied several design techniques, including parallelism, pipelining, and loop unrolling, in designing field arithmetic units, group operation units, and scalar multiplication units to improve the performance and power consumption. Our affine and projective coordinate-based HECC processors execute in 0.436 ms and 0.531 ms, respectively, based on the underlying field GF($2^{89}$). These results are about five times faster than those for previous hardware implementations and at least 13 times better in terms of area-time products. Further results suggest that neither case is superior to the other when considering the hardware complexity and performance. The characteristics of our proposed HECC coprocessor show that it is applicable to high-speed network applications as well as resource-constrained environments, such as PDAs, smart cards, and so on.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2015.05a
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• pp.404-406
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• 2015

This paper describes a small-area hardware implementation of the block cipher algorithm CLEFIA-128 which supports for 128-bit master key. A compact structure using single data processing block is adopted, which shares hardware resources for round transformation and the generation of intermediate values for round key scheduling. In addition, data processing and key scheduling blocks are simplified by utilizing a modified GFN(generalized Feistel network) and key scheduling scheme. The CLEFIA-128 crypto-processor is verified by FPGA implementation. It consumes 823 slices of Virtex5 XC5VSX50T device and the estimated throughput is about 105 Mbps with 145 MHz clock frequency.

• 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.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2015.10a
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• pp.430-432
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• 2015

This paper describes a hardware implementation of ultra-lightweight block cipher algorithm PRESENT-80/128 that supports for two master key lengths of 80-bit and 128-bit. The PRESENT algorithm that is based on SPN (substitution and permutation network) consists of 31 round transformations. A round processing block of 64-bit data-path is used to process 31 rounds iteratively, and circuits for encryption and decryption are designed to share hardware resources. The PRESENT-80/128 crypto-processor designed in Verilog-HDL was verified using Virtex5 XC5VSX-95T FPGA and test system. The estimated throughput is about 550 Mbps with 275 MHz clock frequency.