Lattices, Homomorphic Encryption, and CKKS

05/07/2022

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This is a survey on some topics in Lattice based cryptography and Homomorphic Encryption. In particular, we define some lattice problems, LWE and RLWE, and state the reductions given by Regev and Peikert. We also give a full treatment of the recent CKKS homomorphic encryption scheme and give some worked out examples.

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Lattices, Homomorphic Encryption, and CKKS

An analogue of the ElGamal scheme based on the Markovski algorithm

Application of Lowner-John's Ellipsoid in the Steganography of Lattice Vectors and a Review of The Gentry's FHE

VLSI Implementation of Cryptographic Algorithms Techniques: A Literature Review

Applying of The new Integral KAJ Transform in Cryptography

Design of Ciphers based on the Geometric Structure of the Laguerre and Minkowski Planes

Review of the NIST Light-weight Cryptography Finalists

Design of Ciphers based on the Geometric Structure of the Möbius Plane

Lattices, Homomorphic Encryption, and CKKS

Related Research

An analogue of the ElGamal scheme based on the Markovski algorithm

Application of Lowner-John's Ellipsoid in the Steganography of Lattice Vectors and a Review of The Gentry's FHE

VLSI Implementation of Cryptographic Algorithms Techniques: A Literature Review

Applying of The new Integral KAJ Transform in Cryptography

Design of Ciphers based on the Geometric Structure of the Laguerre and Minkowski Planes

Review of the NIST Light-weight Cryptography Finalists

Design of Ciphers based on the Geometric Structure of the Möbius Plane