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Tutorial on Elliptic Curve Arithmeti...

ProQuest Information and Learning Co.

Tutorial on Elliptic Curve Arithmetic and Introduction to Elliptic Curve Cryptography (ECC).

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Tutorial on Elliptic Curve Arithmetic and Introduction to Elliptic Curve Cryptography (ECC)./
Author:	Bommireddipalli, Nithesh Venkata Ramana Surya.
Description:	1 online resource (87 pages)
Notes:	Source: Masters Abstracts International, Volume: 57-04.
Contained By:	Masters Abstracts International57-04(E).
Subject:	Computer engineering. -
Online resource:	click for full text (PQDT)
ISBN:	9780355661767

Tutorial on Elliptic Curve Arithmetic and Introduction to Elliptic Curve Cryptography (ECC).
Bommireddipalli, Nithesh Venkata Ramana Surya.

Tutorial on Elliptic Curve Arithmetic and Introduction to Elliptic Curve Cryptography (ECC). - 1 online resource (87 pages)

Source: Masters Abstracts International, Volume: 57-04.

Thesis (M.S.)--University of Cincinnati, 2017.

Includes bibliographical references

This thesis focuses on elliptic curve arithmetic over the prime field GF (p) and elliptic curve cryptography (ECC). ECC over GF(p) has its own arithmetic which is done over elliptic curves of the form y2 &equiv; x 3+ax+b (mod p), where p is prime. ECC is gaining importance in security because it uses smaller keys to provide the same security level as the popular RSA. It is the superior cryptographic scheme based on time efficiency and resource utilization. It is more suitable than RSA for DNSSEC and IoT systems and devices.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355661767Subjects--Topical Terms:

569006
Computer engineering.
Index Terms--Genre/Form:

554714
Electronic books.

Tutorial on Elliptic Curve Arithmetic and Introduction to Elliptic Curve Cryptography (ECC).
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040 $a MiAaPQ $b eng $c MiAaPQ $d NTU
100 1 $a Bommireddipalli, Nithesh Venkata Ramana Surya. $3 1191053
245 1 0 $a Tutorial on Elliptic Curve Arithmetic and Introduction to Elliptic Curve Cryptography (ECC).
264 0 $c 2017
300 $a 1 online resource (87 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Masters Abstracts International, Volume: 57-04.
502 $a Thesis (M.S.)--University of Cincinnati, 2017.
504 $a Includes bibliographical references
520 $a This thesis focuses on elliptic curve arithmetic over the prime field GF (p) and elliptic curve cryptography (ECC). ECC over GF(p) has its own arithmetic which is done over elliptic curves of the form y2 &equiv; x 3+ax+b (mod p), where p is prime. ECC is gaining importance in security because it uses smaller keys to provide the same security level as the popular RSA. It is the superior cryptographic scheme based on time efficiency and resource utilization. It is more suitable than RSA for DNSSEC and IoT systems and devices.
520 $a Unlike RSA, which is easily understood, ECC is complicated because of the arithmetic involved. It is not widely understood. We provide a tutorial on elliptic curve arithmetic and also explain the working of the ElGamal cryptosystem. We also describe general hardware-efficient methods to implement ECC such as Montgomery multiplication and projective coordinates. These methods are challenging to understand. Essentially, projective coordinates help reduce the number of inversions required in doing scalar multiplication. If Montgomery multiplication is used, a time-consuming operation like reduction modulo a prime p can be simplified. In this work, we also present a user-friendly Java GUI application to provide education in elliptic curve arithmetic and its applications in cryptosystems. Lastly, we provide a module of questions and solutions to do the same and also enable senior students and graduate students to use ECC in their project work.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Computer engineering. $3 569006
655 7 $a Electronic books. $2 local $3 554714
690 $a 0464
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Cincinnati. $b Engineering and Applied Science: Computer Engineering. $3 1191054
773 0 $t Masters Abstracts International $g 57-04(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10760347 $z click for full text (PQDT)

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