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Partially Homomorphic Encryption

Autor Çetin Kaya Koç, Funda Özdemir, Zeynep Ödemiş Özger
en Limba Engleză Paperback – oct 2022
This monograph describes and implements partially homomorphic encryption functions using a unified notation. After introducing the appropriate mathematical background, the authors offer a systematic examination of the following known algorithms: Rivest-Shamir-Adleman; Goldwasser-Micali; ElGamal; Benaloh; Naccache-Stern; Okamoto-Uchiyama; Paillier; Damgaard-Jurik; Boneh-Goh-Nissim; and Sander-Young-Yung.

Over recent years partially and fully homomorphic encryption algorithms have been proposed and researchers have addressed issues related to their formulation, arithmetic, efficiency and security. Formidable efficiency barriers remain, but we now have a variety of algorithms that can be applied to various private computation problems in healthcare, finance and national security, and studying these functions may help us to understand the difficulties ahead.

The book is valuable for researchers and graduate students in Computer Science, Engineering, and Mathematics who are engaged with Cryptology.

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Specificații

ISBN-13: 9783030876319
ISBN-10: 3030876314
Pagini: 146
Ilustrații: X, 146 p.
Dimensiuni: 155 x 235 mm
Greutate: 0.23 kg
Ediția:1st ed. 2021
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

Introduction.- Mathematical Background.- Rivest-Shamir-Adleman Algorithm.- Goldwasser-Micali Algorithm.- ElGamal Algorithm.- Benaloh Algorithm.- Naccache-Stern Algorithm.- Okamoto-Uchiyama Algorithm.- Paillier Algorithm.- Damgård-Jurik Algorithm.- Boneh-Goh-Nissim Algorithm.- Sander-Young-Yung Algorithm.- Bibliography.- Index.

Recenzii

“This book shows that it is always enjoyable to learn interesting algorithms and their underlying beautiful mathematics.” (Ioan Tomescu, zbMATH 0741.4774, 2021)

Textul de pe ultima copertă

This monograph describes and implements partially homomorphic encryption functions using a unified notation. After introducing the appropriate mathematical background, the authors offer a systematic examination of the following known algorithms: Rivest-Shamir-Adleman; Goldwasser-Micali; ElGamal; Benaloh; Naccache-Stern; Okamoto-Uchiyama; Paillier; Damgaard-Jurik; Boneh-Goh-Nissim; and Sander-Young-Yung.

Over recent years partially and fully homomorphic encryption algorithms have been proposed and researchers have addressed issues related to their formulation, arithmetic, efficiency and security. Formidable efficiency barriers remain, but we now have a variety of algorithms that can be applied to various private computation problems in healthcare, finance and national security, and studying these functions may help us to understand the difficulties ahead.

The book is valuable for researchers and graduate students in Computer Science, Engineering, and Mathematics who are engaged with Cryptology.


Caracteristici

Applies a unified mathematical notation Algorithms can be applied to private computation problems in healthcare, finance and national security Researchers have addressed issues related to these algorithms' formulation, arithmetic, efficiency and security