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Improvement of Lattice-Based Cryptography Using CRT

Thomas Plantard, Mike Rose, Willy Susilo

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Abstract

In this paper, we first critically analyze two existing lattice-based cryptosystems, namely GGH and Micciancio, and identify their drawbacks. Then, we introduce a method for improving the implementation of GGH using the Chinese Remainder Theorem (CRT). Furthermore, we also propose another cryptosystem optimized for CRT, drawing on the strengths of both cryptosystems. We provide a fair comparison between our scheme and the existing ones.

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What this paper is about

In this paper, we first critically analyze two existing lattice-based cryptosystems, namely GGH and Micciancio, and identify their drawbacks. Then, we introduce a method for improving the implementation of GGH using the Chinese Remainder Theorem (CRT). Furthermore, we also propose another cryptosystem optimized for CRT, drawing on the strengths of both cryptosystems. We provide a fair comparison between our scheme and the existing ones.

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Available abstract

In this paper, we first critically analyze two existing lattice-based cryptosystems, namely GGH and Micciancio, and identify their drawbacks. Then, we introduce a method for improving the implementation of GGH using the Chinese Remainder Theorem (CRT). Furthermore, we also propose another cryptosystem optimized for CRT, drawing on the strengths of both cryptosystems. We provide a fair comparison between our scheme and the existing ones.

Key concepts: Cryptosystem, Chinese remainder theorem, Lattice-based cryptography, Cryptography, Computer science, Hybrid cryptosystem, Theoretical computer science, Lattice (music)

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