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An Algebraic Study of Cloaking Elements.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	An Algebraic Study of Cloaking Elements./
作者:	Jones, Raymond.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2022,
面頁冊數:	69 p.
附註:	Source: Dissertations Abstracts International, Volume: 83-12, Section: B.
Contained By:	Dissertations Abstracts International83-12B.
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29210798
ISBN:	9798819394779

An Algebraic Study of Cloaking Elements.
Jones, Raymond.

An Algebraic Study of Cloaking Elements. - Ann Arbor : ProQuest Dissertations & Theses, 2022 - 69 p.

Source: Dissertations Abstracts International, Volume: 83-12, Section: B.

Thesis (Ph.D.)--State University of New York at Buffalo, 2022.

This item must not be sold to any third party vendors.

E-multiplication is an evaluation map on the colored Burau representation of the braid group that has been used by Veridify Security to develop a variety of quantum resistant cryptographic protocols. Elements of the stabilizer of E-multiplication, termed cloaking elements, play a critical role in hiding and obfuscating public keys. This paper investigates the algebraic structure of cloaking elements and seeks to answer the following question: "How does one generate cloaking elements?".

ISBN: 9798819394779Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Colored Burau representation

An Algebraic Study of Cloaking Elements.
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245 1 3 $a An Algebraic Study of Cloaking Elements.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2022
300 $a 69 p.
500 $a Source: Dissertations Abstracts International, Volume: 83-12, Section: B.
500 $a Advisor: Li, Yiqiang.
502 $a Thesis (Ph.D.)--State University of New York at Buffalo, 2022.
506 $a This item must not be sold to any third party vendors.
520 $a E-multiplication is an evaluation map on the colored Burau representation of the braid group that has been used by Veridify Security to develop a variety of quantum resistant cryptographic protocols. Elements of the stabilizer of E-multiplication, termed cloaking elements, play a critical role in hiding and obfuscating public keys. This paper investigates the algebraic structure of cloaking elements and seeks to answer the following question: "How does one generate cloaking elements?".
590 $a School code: 0656.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical mathematics. $3 3173530
650 4 $a Applied mathematics. $3 2122814
653 $a Colored Burau representation
653 $a Cryptography
653 $a E-multiplication
690 $a 0405
690 $a 0642
690 $a 0364
710 2 $a State University of New York at Buffalo. $b Mathematics. $3 1022476
773 0 $t Dissertations Abstracts International $g 83-12B.
790 $a 0656
791 $a Ph.D.
792 $a 2022
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29210798