• Title/Summary/Keyword: HECC

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Secure Scalar Multiplication with Simultaneous Inversion Algorithm in Hyperelliptic Curve Cryptosystem (초 타원 곡선 암호시스템에서 동시 역원 알고리즘을 가진 안전한 스칼라 곱셈)

  • Park, Taek-Jin
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.4 no.4
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    • pp.318-326
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    • 2011
  • Public key cryptosystem applications are very difficult in Ubiquitos environments due to computational complexity, memory and power constrains. HECC offers the same of levels of security with much shorter bit-lengths than RSA or ECC. Scalar multiplication is the core operation in HECC. T.Lange proposed inverse free scalar multiplication on genus 2 HECC. However, further coordinate must be access to SCA and need more storage space. This paper developed secure scalar multiplication algorithm with simultaneous inversion algorithm in HECC. To improve the over all performance and security, the proposed algorithm adopt the comparable technique of the simultaneous inversion algorithm. The proposed algorithm is resistant to DPA and SPA.

Flexible Prime-Field Genus 2 Hyperelliptic Curve Cryptography Processor with Low Power Consumption and Uniform Power Draw

  • Ahmadi, Hamid-Reza;Afzali-Kusha, Ali;Pedram, Massoud;Mosaffa, Mahdi
    • ETRI Journal
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    • v.37 no.1
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    • pp.107-117
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    • 2015
  • This paper presents an energy-efficient (low power) prime-field hyperelliptic curve cryptography (HECC) processor with uniform power draw. The HECC processor performs divisor scalar multiplication on the Jacobian of genus 2 hyperelliptic curves defined over prime fields for arbitrary field and curve parameters. It supports the most frequent case of divisor doubling and addition. The optimized implementation, which is synthesized in a $0.13{\mu}m$ standard CMOS technology, performs an 81-bit divisor multiplication in 503 ms consuming only $6.55{\mu}J$ of energy (average power consumption is $12.76{\mu}W$). In addition, we present a technique to make the power consumption of the HECC processor more uniform and lower the peaks of its power consumption.

Performance Study of genus 3 Hyperelliptic Curve Cryptosystem

  • Gupta, Daya;De, Asok;Chatterjee, Kakali
    • Journal of Information Processing Systems
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    • v.8 no.1
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    • pp.145-158
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    • 2012
  • Hyperelliptic Curve Cryptosystem (HECC) is well suited for all kinds of embedded processor architectures, where resources such as storage, time, or power are constrained due to short operand sizes. We can construct genus 3 HECC on 54-bit finite fields in order to achieve the same security level as 160-bit ECC or 1024-bit RSA due to the algebraic structure of Hyperelliptic Curve. This paper explores various possible attacks to the discrete logarithm in the Jacobian of a Hyperelliptic Curve (HEC) and addition and doubling of the divisor using explicit formula to speed up the scalar multiplication. Our aim is to develop a cryptosystem that can sign and authenticate documents and encrypt / decrypt messages efficiently for constrained devices in wireless networks. The performance of our proposed cryptosystem is comparable with that of ECC and the security analysis shows that it can resist the major attacks in wireless networks.

Hyperelliptic Curve Crypto-Coprocessor over Affine and Projective Coordinates

  • Kim, Ho-Won;Wollinger, Thomas;Choi, Doo-Ho;Han, Dong-Guk;Lee, Mun-Kyu
    • 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.

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Detection of Freshwater Jellyfish (Craspedacusta sowerbii Lankester, 1880) by Biofilm eDNA in Miho River Watershed (미호강 수계 생물막의 환경유전자를 이용한 담수해파리 (Craspedacusta sowerbii Lankester, 1880) 유전자 탐색)

  • Keonhee Kim ;Hyeonjin Cho ;Jeong-Hui Kim;Yun-mo Yang;Hyunji Ju;Hyun-Gi Jeong
    • Korean Journal of Ecology and Environment
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    • v.56 no.3
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    • pp.250-258
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    • 2023
  • Freshwater jellyfish, a type of jellyfish exclusively found in freshwater, has a limited number of species but is found globally. However, their ecology and causes of occurrence are largely unknown. Therefore, understanding the distribution of polyps, which produce the larvae of freshwater jellyfish, can provide important data for comprehending their ecology. This study aims to explore the COI gene of freshwater jellyfish using environmental DNA from the microbial film in the Miho River system. Among the 12 survey points in the Miho River watershed, genetic material of freshwater jellyfish was detected in 8 points, mainly located upstream near reservoirs. These genetic materials were identified as genes of the well-known freshwater jellyfish species, Craspedacusta sowerbii. Notably, the C. sowerbii genes found in the Miho River watershed survey points were closely related to a species previously discovered in Italy. Consequently, utilizing environmental DNA to explore the genetic traces of freshwater jellyfish enables rapid screening of areas with a high likelihood of freshwater jellyfish occurrence. This approach is deemed to provide crucial information for understanding the distribution and ecology of freshwater jellyfish in Korea.