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2. Principle of cryptography based on Euclidean lattices
The aim of this second part is to give the mathematical prerequisites needed to read the article, and then to define the difficult problems on which the security of cryptographic constructions will then be based.
2.1 Security in cryptography
Construction security is of course at the heart of cryptography, the first difficulty being to define it properly. There are many ways to define the security of a public-key cryptographic scheme. You need to define an attacker model (its capabilities in terms of computing time, computing power, memory, etc.), an attack context (what the attacker has access to), and an objective (the attacker's ultimate goal). This constitutes a security model, which should model real attacks as closely as possible. In general, we consider...
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Principle of cryptography based on Euclidean lattices
Application: future NIST encryption and signature standards
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