Click to open the HelpDesk interface
AECE - Front page banner

Menu:


FACTS & FIGURES

JCR Impact Factor: 0.595
JCR 5-Year IF: 0.661
Issues per year: 4
Current issue: May 2017
Next issue: Aug 2017
Avg review time: 76 days


PUBLISHER

Stefan cel Mare
University of Suceava
Faculty of Electrical Engineering and
Computer Science
13, Universitatii Street
Suceava - 720229
ROMANIA

Print ISSN: 1582-7445
Online ISSN: 1844-7600
WorldCat: 643243560
doi: 10.4316/AECE


TRAFFIC STATS

1,683,853 unique visits
501,787 downloads
Since November 1, 2009



No robots online now


SJR SCImago RANK

SCImago Journal & Country Rank


SEARCH ENGINES

aece.ro - Google Pagerank




TEXT LINKS

Anycast DNS Hosting
MOST RECENT ISSUES

 Volume 17 (2017)
 
     »   Issue 2 / 2017
 
     »   Issue 1 / 2017
 
 
 Volume 16 (2016)
 
     »   Issue 4 / 2016
 
     »   Issue 3 / 2016
 
     »   Issue 2 / 2016
 
     »   Issue 1 / 2016
 
 
 Volume 15 (2015)
 
     »   Issue 4 / 2015
 
     »   Issue 3 / 2015
 
     »   Issue 2 / 2015
 
     »   Issue 1 / 2015
 
 
 Volume 14 (2014)
 
     »   Issue 4 / 2014
 
     »   Issue 3 / 2014
 
     »   Issue 2 / 2014
 
     »   Issue 1 / 2014
 
 
  View all issues  


FEATURED ARTICLE

ABC Algorithm based Fuzzy Modeling of Optical Glucose Detection, SARACOGLU, O. G., BAGIS, A., KONAR, M., TABARU, T. E.
Issue 3/2016

AbstractPlus






LATEST NEWS

2017-Jun-14
Thomson Reuters published the Journal Citations Report for 2016. The JCR Impact Factor of Advances in Electrical and Computer Engineering is 0.595, and the JCR 5-Year Impact Factor is 0.661.

2017-Apr-04
We have the confirmation Advances in Electrical and Computer Engineering will be included in the EBSCO database.

2017-Feb-16
With new technologies, such as mobile communications, internet of things, and wide applications of social media, organizations generate a huge volume of data, much faster than several years ago. Big data, characterized by high volume, diversity and velocity, increasingly drives decision making and is changing the landscape of business intelligence, from governments to private organizations, from communities to individuals. Big data analytics that discover insights from evidences has a high demand for computing efficiency, knowledge discovery, problem solving, and event prediction. We dedicate a special section of Issue 4/2017 to Big Data. Prospective authors are asked to make the submissions for this section no later than the 31st of May 2017, placing "BigData - " before the paper title in OpenConf.

2017-Jan-30
We have the confirmation Advances in Electrical and Computer Engineering will be included in the Gale database.

2016-Dec-17
IoT is a new emerging technology domain which will be used to connect all objects through the Internet for remote sensing and control. IoT uses a combination of WSN (Wireless Sensor Network), M2M (Machine to Machine), robotics, wireless networking, Internet technologies, and Smart Devices. We dedicate a special section of Issue 2/2017 to IoT. Prospective authors are asked to make the submissions for this section no later than the 31st of March 2017, placing "IoT - " before the paper title in OpenConf.

Read More »


    
 

  2/2013 - 1
View TOC | « Previous Article | Next Article »

Karatsuba-Ofman Multiplier with Integrated Modular Reduction for GF(2m)

CUEVAS-FARFAN, E. See more information about CUEVAS-FARFAN, E. on SCOPUS See more information about CUEVAS-FARFAN, E. on IEEExplore See more information about CUEVAS-FARFAN, E. on Web of Science, MORALES-SANDOVAL, M. See more information about  MORALES-SANDOVAL, M. on SCOPUS See more information about  MORALES-SANDOVAL, M. on SCOPUS See more information about MORALES-SANDOVAL, M. on Web of Science, MORALES-REYES, A. See more information about  MORALES-REYES, A. on SCOPUS See more information about  MORALES-REYES, A. on SCOPUS See more information about MORALES-REYES, A. on Web of Science, FEREGRINO-URIBE, C. See more information about  FEREGRINO-URIBE, C. on SCOPUS See more information about  FEREGRINO-URIBE, C. on SCOPUS See more information about FEREGRINO-URIBE, C. on Web of Science, ALGREDO-BADILLO, I. See more information about  ALGREDO-BADILLO, I. on SCOPUS See more information about  ALGREDO-BADILLO, I. on SCOPUS See more information about ALGREDO-BADILLO, I. on Web of Science, KITSOS, P. See more information about  KITSOS, P. on SCOPUS See more information about  KITSOS, P. on SCOPUS See more information about KITSOS, P. on Web of Science, CUMPLIDO, R. See more information about CUMPLIDO, R. on SCOPUS See more information about CUMPLIDO, R. on SCOPUS See more information about CUMPLIDO, R. on Web of Science
 
Click to see author's profile on See more information about the author on SCOPUS SCOPUS, See more information about the author on IEEE Xplore IEEE Xplore, See more information about the author on Web of Science Web of Science

Download PDF pdficon (1,421 KB) | Citation | Downloads: 739 | Views: 3,411

Author keywords
data security, cryptography, public key, algorithm design and analysis, field programmable gate arrays

References keywords
karatsuba(12), systems(6), reconfigurable(6), ofman(6), efficient(6), multipliers(5), multiplication(5), reduction(4), parallel(4), multiplier(4)
Blue keywords are present in both the references section and the paper title.

About this article
Date of Publication: 2013-05-31
Volume 13, Issue 2, Year 2013, On page(s): 3 - 10
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2013.02001
Web of Science Accession Number: 000322179400001
SCOPUS ID: 84878919037

Abstract
Quick view
Full text preview
In this paper a novel GF(2m) multiplier based on Karatsuba-Ofman Algorithm is presented. A binary field multiplication in polynomial basis is typically viewed as a two steps process, a polynomial multiplication followed by a modular reduction step. This research proposes a modification to the original Karatsuba-Ofman Algorithm in order to integrate the modular reduction inside the polynomial multiplication step. Modular reduction is achieved by using parallel linear feedback registers. The new algorithm is described in detail and results from a hardware implementation on FPGA technology are discussed. The hardware architecture is described in VHDL and synthesized for a Virtex-6 device. Although the proposed field multiplier can be implemented for arbitrary finite fields, the targeted finite fields are recommended for Elliptic Curve Cryptography. Comparing other KOA multipliers, our proposed multiplier uses 36% less area resources and improves the maximum delay in 10%.


References | Cited By  «-- Click to see who has cited this paper

[1] B. Schneier, Applied Cryptography, 2nd edition. Wiley, 1996, p. 758.

[2] A. Karatsuba and Y. Ofman, "Multiplication of Multidigit Numbers on Automata," Soviet Physics-Doklady, vol. 7, no. 7, pp. 595-596, 1963.

[3] M. Knezevic, F. Vercauteren, and I. Verbauwhede, "Faster Interleaved Modular Multiplication Based on Barrett and Montgomery Reduction Methods," IEEE Transactions on Computers, vol. 59, no. 12, pp. 1715-1721, Dec. 2010.
[CrossRef] [Web of Science Times Cited 9] [SCOPUS Times Cited 19]


[4] G. X. Yao, J. Fan, R. C. C. Cheung, and I. Verbauwhede, "A High Speed Pairing Coprocessor Using RNS and Lazy Reduction," IACR Cryptology ePrint Archive, vol. 2011, p. 258, 2011.

[5] A. B. El-sisi, S. M. Shohdy, and N. Ismail, "Reconfigurable Implementation of Karatsuba Multiplier for Galois Field in Elliptic Curves," Novel Algorithms and Techniques in Telecommunications and Networking, pp. 97-92, 2010.
[CrossRef] [Web of Science Record] [SCOPUS Times Cited 1]


[6] H. Fan, J. Sun, M. Gu, and K.-Y. Lam, "Overlap-free Karatsuba-Ofman polynomial multiplication algorithms," IET Information Security, vol. 4, no. 1, p. 8, 2010.
[CrossRef] [Web of Science Times Cited 19] [SCOPUS Times Cited 22]


[7] G. Zhou, H. Michalik, and L. Hinsenkamp, "Complexity Analysis and Efficient Implementations of Bit Parallel Finite Field Multipliers Based on Karatsuba-Ofman Algorithm on FPGAs," IEEE Transactions on Very Large Scale Integration (VLSI) Systems, vol. 18, no. 7, pp. 1057-1066, Jul. 2010.
[CrossRef] [Web of Science Times Cited 10] [SCOPUS Times Cited 19]


[8] M. Machhout, M. Zeghid, W. El Hadj Youssef, B. Bouallegue, A. Baganne, and R. Tourki, "Efficient Large Numbers Karatsuba-Ofman Multiplier Designs for Embedded Systems," in Conference of the World Academy of Science Engineering and Technology 28, 2009, pp. 992-1001.

[9] G. Zhou, H. Michalik, and L. Hinsenkamp, "Improving Throughput of AES-GCM with Pipelined Karatsuba Multipliers on FPGAs," Reconfigurable Computing: Architectures, Tools and Applications, vol. 5453, pp. 193-203, 2009.
[CrossRef] [SCOPUS Times Cited 23]


[10] W. El hadj youssef, M. Machhout, M. Zeghid, B. Bouallegue, and R. Tourki, "Efficient hardware architecture of recursive Karatsuba-Ofman multiplier," in 2008 3rd International Conference on Design and Technology of Integrated Systems in Nanoscale Era, 2008, pp. 1-6.

[11] Y. L. Zhang, G. C. Shou, Y. H. Hu, and Z. G. Guo, "Low Complexity GF(2m) Multiplier Based on Iterative Karatsuba Algorithm," Advanced Materials Research, vol. 546-547, pp. 1409-1414, Jul. 2012.
[CrossRef] [SCOPUS Times Cited 1]


[12] A. Weimerskirch and C. Paar, "Generalizations of the Karatsuba Algorithm for Efficient Implementations," Cryptology ePrint Archive, vol. 2006/224, 2006. [CiteSeerX]

[13] J. von zur Gathen and J. Shokrollahi, "Efficient FPGA-Based Karatsuba Multipliers for Polynomials over F2," Selected Areas in Cryptography, vol. 3897, pp. 359-369, 2006.
[CrossRef]


[14] N. S. Chang, C. H. Kim, Y.-H. Park, and J. Lim, "A Non-redundant and Efficient Architecture for Karatsuba-Ofman Algorithm," Information Security, vol. 3650, pp. 288-299, 2005.
[CrossRef]


[15] N. A. Saqib, F. Rodriguez-Henriquez, and A. Diaz-Perez, "A parallel architecture for fast computation of elliptic curve scalar multiplication over GF(2m)," in 18th International Parallel and Distributed Processing Symposium, 2004. Proceedings., 2004, vol. 00, no. C, pp. 144-151.
[CrossRef]


[16] M. Ernst, M. Jung, F. Madlener, S. A. Huss, and R. Bl, "A Reconfigurable System on Chip Implementation for Elliptic Curve Cryptography over GF(2n)," in Cryptographic Hardware and Embedded Systems - CHES 2002, vol. 2523, B. Kaliski, C. Koc, and C. Paar, Eds. Springer Berlin / Heidelberg, 2003, pp. 381-399. [CiteSeerX]

[17] F. Rodriguez-Henriquez and C. K. Koc, "On Fully Parallel Karatsuba Multipliers for GF(2m)," in Computer Science and Technology 2003, 2003. [CiteSeerX]

[18] M. Jung, F. Madlener, M. Ernst, and S. A. Huss, "A Reconfigurable Coprocessor for Finite Field Multiplication in GF(2m)," in IEEE Workshop on Heterogeneous Reconfigurable Systems on Chip (HRSoc'02), 2002. [CiteSeerX]

[19] M. Morales-Sandoval, C. Feregrino-Uribe, and P. Kitsos, "Bit-serial and digit-serial GF(2m) Montgomery multipliers using linear feedback shift registers," IET Computers & Digital Techniques, vol. 5, no. 2, p. 86, 2010.
[CrossRef] [Web of Science Times Cited 13] [SCOPUS Times Cited 21]


[20] J. von zur Gathen and J. Gerhard, "Arithmetic and factorization of polynomial over (extended abstract)," in Proceedings of the 1996 international symposium on Symbolic and algebraic computation - ISSAC '96, 1996, pp. 1-9.
[CrossRef]


[21] D. G. Cantor, "On arithmetical algorithms over finite fields," Journal of Combinatorial Theory, vol. 50, no. 2, pp. 285 - 300, 1989.
[CrossRef] [Web of Science Times Cited 37] [SCOPUS Times Cited 43]


[22] M. Abramovici, M. A. Breuer, and A. D. Friedman, Digital Systems Testing and Testable Design, 1st ed. WILEY-IEEE PRESS, 1994.
[CrossRef]


[23] M. M. Knezevic, K. Sakiyama, J. Fan, and I. Verbauwhede, "Modular Reduction in GF(2m) without Precomputational Phase," in International Workshop on the Arithmetic of Finite Fields (WAIFI 2008), 2008, vol. 5130, pp. 77-87.
[CrossRef] [SCOPUS Times Cited 16]


[24] C. K. Koc, "Montgomery reduction with even modulus," IEE Proceedings of Computers and Digital Techniques, vol. 141, no. 2, pp. 314-316, 2010.
[CrossRef] [Web of Science Times Cited 11] [SCOPUS Times Cited 12]


[25] F. Rodriguez-Henriquez, A. Diaz-Perez, N. A. Saqib, and C. K. Koc, Cryptographic Algorithms on Reconfigurable Hardware. Boston, MA: Springer US, 2006.

[26] "FIPS PUB 186-3 Digital Signature Standard (DSS)," NIST - Federal Information Processing Standars Publication, 2009.



References Weight

Web of Science® Citations for all references: 99 TCR
SCOPUS® Citations for all references: 177 TCR

Web of Science® Average Citations per reference: 4 ACR
SCOPUS® Average Citations per reference: 7 ACR

TCR = Total Citations for References / ACR = Average Citations per Reference

We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more

Citations for references updated on 2017-08-15 22:05 in 104 seconds.




Note1: Web of Science® is a registered trademark of Thomson Reuters.
Note2: SCOPUS® is a registered trademark of Elsevier B.V.
Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site.

Copyright ©2001-2017
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania


All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.

Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.

Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.




Website loading speed and performance optimization powered by: