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Design and Implementation of a Sequential Polynomial Basis Multiplier over GF(2<sup>m</sup>)
( Sudha Ellison Mathe ),( Lakshmi Boppana ) 한국인터넷정보학회 2017 KSII Transactions on Internet and Information Syst Vol.11 No.5
Finite field arithmetic over GF(2<sup>m</sup>) is used in a variety of applications such as cryptography, coding theory, computer algebra. It is mainly used in various cryptographic algorithms such as the Elliptic Curve Cryptography (ECC), Advanced Encryption Standard (AES), Twofish etc. The multiplication in a finite field is considered as highly complex and resource consuming operation in such applications. Many algorithms and architectures are proposed in the literature to obtain efficient multiplication operation in both hardware and software. In this paper, a modified serial multiplication algorithm with interleaved modular reduction is proposed, which allows for an efficient realization of a sequential polynomial basis multiplier. The proposed sequential multiplier supports multiplication of any two arbitrary finite field elements over GF(2<sup>m</sup>) for generic irreducible polynomials, therefore made versatile. Estimation of area and time complexities of the proposed sequential multiplier is performed and comparison with existing sequential multipliers is presented. The proposed sequential multiplier achieves 50% reduction in area-delay product over the best of existing sequential multipliers for m = 163, indicating an efficient design in terms of both area and delay. The Application Specific Integrated Circuit (ASIC) and the Field Programmable Gate Array (FPGA) implementation results indicate a significantly less power-delay and area-delay products of the proposed sequential multiplier over existing multipliers.
Sudha Ellison Mathe,Lakshmi Boppana 한국전자통신연구원 2017 ETRI Journal Vol.39 No.4
Multiplication in finite fields is used in many applications, especially in cryptography. It is a basic and the most computationally intensive operation from among all such operations. Several systolic multipliers are proposed in the literature that offer low hardware complexity or high speed. In this paper, a bit-parallel polynomial basis systolic multiplier for generic irreducible polynomials is proposed based on a modified interleaved multiplication method. The hardware complexity and delay of the proposed multiplier are estimated, and a comparison with the corresponding multipliers available in the literature is presented. Of the corresponding multipliers, the proposed multiplier achieves a reduction in the hardware complexity of up to 20% when compared to the best multiplier for m = 163. The synthesis results of application-specific integrated circuit and field-programmable gate array implementations of the proposed multiplier are also presented. From the synthesis results, it is inferred that the proposed multiplier achieves low power consumption and low area complexitywhen compared to the best of the corresponding multipliers.
Benjamin R. Ellison,Jeffrey H. Burton,Daniel S. Hsia 대한소아내분비학회 2020 Annals of Pediatirc Endocrinology & Metabolism Vol.25 No.1
Purpose: This study aimed to compare the proinsulin to C-peptide (PI:C) ratio in those with recent-onset type 1 diabetes versus those with no diabetes and to explore the effect of age on PI:C ratio. Methods: Nineteen participants (n=9 with type 1 diabetes and n=10 with no diabetes) between 10 and 19 years of age were enrolled in a single-visit cross-sectional study and underwent blood collection after 10 hours fasting to measure proinsulin and C-peptide levels as well as other glycemic parameters. Results: The median PI:C ratio was significantly different between type 1 diabetes and nondiabetes groups (6.24% vs. 1.46%, P<0.01). A significant negative correlation was seen between PI:C ratio and patient age after adjustment for duration of diabetes (r2=0.61, P=0.02) in the type 1 diabetes group. Conclusion: Even in this narrow age window, a higher degree of β-cell dysfunction indicated by a higher PI:C ratio was seen in younger children.
Effects of Cholecystokinin on Esophageal Motor Response to Distension in Asymptomatic Volunteers
Ashton C Ellison,Peter J Kahrilas,John E Pandolfino,Dustin A Carlson 대한소화기 기능성질환∙운동학회 2024 Journal of Neurogastroenterology and Motility (JNM Vol.30 No.3
Background/AimsCholecystokinin (CCK) administration has been shown to reduce lower esophageal sphincter (LES) pressure in normal subjects in manometric studies. Functional luminal imaging probe (FLIP) panometry offers a method to assess esophageal motility in response to sustained distension though mechanisms related to this response remain unexplored. The aim of this study is to evaluate the effect of CCK-8 on the esophageal response to distension in asymptomatic volunteers using FLIP. MethodsEsophageal response to distension was studied in 7 asymptomatic volunteers (mean age ± SD [27 ± 2]; 86% female) before and after CCK-8 administration in a crossover study design. During sedated endoscopy, FLIP was performed twice with CCK-8 administered via intravenous push in one of 2 protocols: during filling (n = 4) or during emptying (n = 3). Esophagogastric junction distensibility index (EGJ-DI) at 60 mL fill volume and esophageal body contractile response patterns were analyzed. ResultsDuring the baseline FLIP study, all subjects had a contractile response with repetitive antegrade contractions both before and after CCK-8 administration. However, a sustained LES contraction or a sustained occluding contraction with esophageal shortening was observed in all subjects in the filling protocol, but in none during the emptying protocol. EGJ-DI was similar before and after CCK-8 during both filling (4.7 ± 1.9 mm2/mmHg vs 4.3 ± 1.8 mm2/mmHg) and emptying protocol (7.5 ± 1.4 mm2/mmHg vs 6.9 ± 0.6 mm2/mmHg). ConclusionWhile EGJ-DI appeared unaffected by CCK-8 administration in asymptomatic volunteers, CCK induced spastic-reactive contractions of the LES during distention suggesting that exogenous CCK interferes with normal LES relaxation during secondary peristalsis.
INDO-PACIFIC STRATEGY versus BELT AND ROAD INITIATIVE: Implications for hegemony in Asia
류하연,Ryou-Ellison, Hayoun Jessie Korea Institute for Maritime Strategy 2021 해양안보 Vol.2 No.1
한국 정부는 미국 주도의 인도-태평양 전략 (Indo-Pacific Strategy, IPS)과 중국의 일대일로 계획 (Belt and Road Initiative, BRI) 간 양자택일이라는 점차 커져가는 압박을 마주하고 있다. 이에 따라, 이 연구는 한국 국가 정책 과제의 맥락에서 IPS와 BRI를 상세히 분석해 본다. Daniel Nexon and Thomas Wright (2007)의 네트워크 구조 연구를 기반으로, 이 연구는 IPS와 BRI에 각각 특정한 네트워크 구조를 규정하고자 한다. 이 분석을 통해 핵심국과 참가국 간의 관계를 설명할 수 있다. IPS 와 BRI의 특정 구성에 대한 이해는 참가국이 각 네트워크에서 기대할 수 있는 바를 나타내므로 중요하다. Nexon and Wright에 따르면, 네트워크 구조에는 단극성 무정부 상태, 헤게모니적 질서, 헌법적 질서, 제국적 질서의 네 가지 유형이 있다. 이를 바탕으로 IPS는 헌법적 질서를, BRI는 제국적 질서를 가지고 있는 것으로 분석된다. 따라서, 이 연구는 IPS 참여가 중국과의 BRI 파트너십보다 독립적인 외교 정책을 가능케 할 여지가 크다는 점을 한국 정부에 제안한다. IPS 참여를 통해 한국은 국가 안보 측면에서 이익을 누릴 수 있고, 보다 유리한 지역 권력 균형을 달성할 수 있을 것이다. Seoul is under increasing pressure to choose between the US-led IndoPacific Strategy (IPS) and China's Belt and Road Initiative (BRI). Accordingly, this paper undertakes a detailed appraisal of the IPS and the BRI in the context of Korea's national policy imperatives. Based on a study of network structure by Daniel Nexon and Thomas Wright (2007), the present study seeks to identify a particular network structure within the IPS and the BRI. Through this analysis, the relationship between the core and the participant states will be addressed. Awareness of specific configurations of the IPS and the BRI is important as these reveal what participant states can expect from each network. According to Nexon and Wright, there are four types of network structure: unipolar anarchy, hegemonic order, constitutional order, and imperial order. Based on this, we argue that the IPS has a constitutional order and the BRI has an imperial order. Therefore, we suggest to Seoul that participating in the IPS may make more room for an independent foreign policy than would a BRI partnership with China. South Korea would benefit by participating in the IPS in terms of its national security, striking a favourable regional balance of power.
황원재,Hayoun Jessie Ryou-Ellison 한국외국어대학교 국제지역연구센터 2021 International Area Studies Review Vol.24 No.2
This paper explores how South Korea and India have taken positions between the United States and the People’s Republic of China over diverse foreign policy issues. By adopting dual engagement and strategic ambiguity as hedging strategies, both regional powers reduce their vulnerability to the influence and pressure of the two great powers. Thanks to their strategic importance and prominence in regional politics enhanced by such strategies, South Korea and India can independently pursue their foreign policy preferences to a great extent. The analysis of voting behavior of these regional powers in the United Nations General Assembly between 1991 and 2018 confirms our expectations.