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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.
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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