Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations

This paper presents the design and implementation of an elliptic curve cryptographic core to realize point scalar multiplication operations used for the GF(p) elliptic curve encryption/decryption and the elliptic curve digital signature algorithm (ECDSA). The design makes use of projective coordinat...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Gutub, Adnan (author)
مؤلفون آخرون: unknown (author)
التنسيق: article
منشور في: 2007
الموضوعات:
الوصول للمادة أونلاين:https://eprints.kfupm.edu.sa/id/eprint/155/1/I.pdf
https://eprints.kfupm.edu.sa/id/eprint/155/2/i.htm
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author Gutub, Adnan
author2 unknown
author2_role author
author_facet Gutub, Adnan
unknown
author_role author
dc.creator.none.fl_str_mv Gutub, Adnan
unknown
dc.date.none.fl_str_mv 2007-12
2020
dc.format.none.fl_str_mv application/pdf
text/html
dc.identifier.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/155/1/I.pdf
https://eprints.kfupm.edu.sa/id/eprint/155/2/i.htm
(2007) Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations. Kuwait Journal of Science & Engineering (KJSE), December 2007, 34 (2). pp. 165-182.
dc.language.none.fl_str_mv en
en
dc.publisher.none.fl_str_mv Kuwait University
dc.relation.none.fl_str_mv https://eprints.kfupm.edu.sa/id/eprint/155/
http://www.kjse.kuniv.edu.kw/
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Math
Computer
Electrical
dc.title.none.fl_str_mv Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations
dc.type.none.fl_str_mv Article
PeerReviewed
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description This paper presents the design and implementation of an elliptic curve cryptographic core to realize point scalar multiplication operations used for the GF(p) elliptic curve encryption/decryption and the elliptic curve digital signature algorithm (ECDSA). The design makes use of projective coordinates together with scalable Montgomery multipliers for data size of up to 256-bits. We propose using four multiplier cores together with the ordinary projective coordinates which outperform implementations with Jacobean coordinates typically believed to perform better. The proposed architecture is particularly attractive for elliptic curve cryptosystems when hardware area optimization is the key concern.
eu_rights_str_mv openAccess
format article
id KFUPM_c744d9639cdd9567b77671843a676711
identifier_str_mv (2007) Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations. Kuwait Journal of Science & Engineering (KJSE), December 2007, 34 (2). pp. 165-182.
language_invalid_str_mv en
network_acronym_str KFUPM
network_name_str King Fahd University of Petroleum and Minerals
oai_identifier_str oai::155
publishDate 2007
publisher.none.fl_str_mv Kuwait University
repository.mail.fl_str_mv
repository.name.fl_str_mv
repository_id_str
spelling Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operationsGutub, AdnanunknownMathComputerElectricalThis paper presents the design and implementation of an elliptic curve cryptographic core to realize point scalar multiplication operations used for the GF(p) elliptic curve encryption/decryption and the elliptic curve digital signature algorithm (ECDSA). The design makes use of projective coordinates together with scalable Montgomery multipliers for data size of up to 256-bits. We propose using four multiplier cores together with the ordinary projective coordinates which outperform implementations with Jacobean coordinates typically believed to perform better. The proposed architecture is particularly attractive for elliptic curve cryptosystems when hardware area optimization is the key concern.Kuwait University2007-122020ArticlePeerReviewedinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdftext/htmlhttps://eprints.kfupm.edu.sa/id/eprint/155/1/I.pdfhttps://eprints.kfupm.edu.sa/id/eprint/155/2/i.htm (2007) Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations. Kuwait Journal of Science & Engineering (KJSE), December 2007, 34 (2). pp. 165-182. enenhttps://eprints.kfupm.edu.sa/id/eprint/155/http://www.kjse.kuniv.edu.kw/info:eu-repo/semantics/openAccessoai::1552019-11-01T13:22:38Z
spellingShingle Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations
Gutub, Adnan
Math
Computer
Electrical
status_str publishedVersion
title Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations
title_full Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations
title_fullStr Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations
title_full_unstemmed Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations
title_short Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations
title_sort Efficient utilization of scalable multipliers in parallel to compute GF(p) elliptic curve cryptographic operations
topic Math
Computer
Electrical
url https://eprints.kfupm.edu.sa/id/eprint/155/1/I.pdf
https://eprints.kfupm.edu.sa/id/eprint/155/2/i.htm