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** [[Lattice-based cryptography]], encryption systems based on repeating arrangements of points ** [[Lattice-based access control]], computer security systems based on partially ordered acce ...

{{short description|IEEE standardization project for public-key cryptography}} ...nd Electronics Engineers]] (IEEE) standardization project for [[public-key cryptography]]. It includes specifications for: ...

[[Category:Lattice-based cryptography]] ...

* Module-Lattice cryptography: ..., the [[Module-Lattice-Based Digital Signature Standard]] for post-quantum cryptography ...

...ermite’s Constant and Lattice Algorithms | series=Information Security and Cryptography | publisher=Springer Berlin Heidelberg | location=Berlin, Heidelberg | year ...on algorithm|LLL]] is widely used in the [[cryptanalysis]] of [[Public-key cryptography|public key]] cryptosystems. ...

...e more precise estimates of the computational complexities of [[Adversary (cryptography)|adversarial]] tasks than [[Polynomial-time reduction|polynomial equivalenc ...age of any [[computationally bounded adversary]] is [[negligible function (cryptography)|negligible]]. While such a theoretical guarantee is important, in practice ...

{{Short description|NTRU public-key cryptography digital signature algorithm}} ...o known as the '''NTRU Signature Algorithm''', is an [[NTRU]] [[public-key cryptography]] [[digital signature]] algorithm based on the [[GGH signature scheme]]. Th ...

* Public key authentication, establishing key authenticity in [[public-key cryptography]] ...

{{Short description|Public-key cryptosystem that uses lattice-based cryptography}} ...ublic-key cryptography|public-key cryptosystem]] that uses [[lattice-based cryptography]] to encrypt and decrypt data. It consists of two algorithms: [[NTRUEncrypt ...

...on theory]] to study connectivity arising from small-scale interactions, [[cryptography]] because of conjectured computational hardness of several [[lattice proble ...uting |chapter=On lattices, learning with errors, random linear codes, and cryptography |date=2005-01-01|series=STOC '05|location=New York, NY, USA|publisher=ACM|p ...

...many applications inside of lattice theory, theoretical computer science, cryptography and mathematics more broadly. For instance, it is used in the statement of ...

}} See Table 5.</ref> and in some [[cryptography|cryptographic]] systems.<ref>{{cite conference | contribution = Efficient Techniques for High-Speed Elliptic Curve Cryptography ...

* [[quantum cryptography]] ...

=== Combinatorics, algorithmics and cryptography === * [[Group-based cryptography]] attempts to make use of hard algorithmic problems related to group presen ...

{{Short description|Lattice-based public key cryptosystem}} ...attice-based]] alternative to [[RSA (algorithm)|RSA]] and [[elliptic curve cryptography]] (ECC) and is based on the [[lattice problems|shortest vector problem]] in ...

...>{{Cite book|last1=Galbraith|first1=Steven|title=Mathematics of Public Key Cryptography| year=2012|chapter=chapter 17|chapter-url=https://www.math.auckland.ac.nz/~ ...te web| last1=Silverman| first1=Joseph| title=Introduction to Mathematical Cryptography Errata|url=http://www.math.brown.edu/~jhs/MathCrypto/MathCryptoErrata.pdf|w ...

*[[Cryptography]] ...

{{Cryptography navbox | public-key}} ...

=== Cryptography === * [[arxiv:1807.05270|Curves, Jacobians, and Cryptography]] ...

...th of the shortest nonzero vector. This result has applications in lattice cryptography and number theory. ...ice Algorithms | title=The LLL Algorithm | series=Information Security and Cryptography | publisher=Springer Berlin Heidelberg | publication-place=Berlin, Heidelbe ...