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- Ideal_lattice_cryptography abstract "Ideal lattices are a special class of lattices and a generalization of cyclic lattices. Ideal lattices naturally occur in many parts of number theory, but also in other areas. In particular, they have a significant place in cryptography. Micciancio defined a generalization of cyclic lattices as ideal lattices. They can be used in cryptosystems to decrease by a square root the number of parameters necessary to describe a lattice, making them more efficient. Ideal lattices are a new concept, but similar lattice classes have been used for a long time. For example cyclic lattices, a special case of ideal lattices, are used in NTRUEncrypt and NTRUSign.Ideal lattices also form the basis for quantum computer attack resistant cryptography based on the Ring Learning with Errors. These cryptosystems are provably secure under the assumption that the Shortest Vector Problem (SVP) is hard in these ideal lattices.".
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- Ideal_lattice_cryptography wikiPageLength "36249".
- Ideal_lattice_cryptography wikiPageOutDegree "141".
- Ideal_lattice_cryptography wikiPageRevisionID "673074025".
- Ideal_lattice_cryptography wikiPageWikiLink Adjugate_matrix.
- Ideal_lattice_cryptography wikiPageWikiLink Category:Lattice-based_cryptography.
- Ideal_lattice_cryptography wikiPageWikiLink Category:Number_theory.
- Ideal_lattice_cryptography wikiPageWikiLink Category:Post-quantum_cryptography.
- Ideal_lattice_cryptography wikiPageWikiLink Chinese_remainder_theorem.
- Ideal_lattice_cryptography wikiPageWikiLink Circulant_matrix.
- Ideal_lattice_cryptography wikiPageWikiLink Collision_(computer_science).
- Ideal_lattice_cryptography wikiPageWikiLink Collision_resistance.
- Ideal_lattice_cryptography wikiPageWikiLink Complex_number.
- Ideal_lattice_cryptography wikiPageWikiLink Cryptographic_hash_function.
- Ideal_lattice_cryptography wikiPageWikiLink Cryptography.
- Ideal_lattice_cryptography wikiPageWikiLink Cyclotomic_polynomial.
- Ideal_lattice_cryptography wikiPageWikiLink Digital_signature.
- Ideal_lattice_cryptography wikiPageWikiLink Fast_Fourier_transform.
- Ideal_lattice_cryptography wikiPageWikiLink Group_isomorphism.
- Ideal_lattice_cryptography wikiPageWikiLink Hardness_of_approximation.
- Ideal_lattice_cryptography wikiPageWikiLink Hermite_normal_form.
- Ideal_lattice_cryptography wikiPageWikiLink Homomorphic_Encryption.
- Ideal_lattice_cryptography wikiPageWikiLink Homomorphic_encryption.
- Ideal_lattice_cryptography wikiPageWikiLink Ideal_(ring_theory).
- Ideal_lattice_cryptography wikiPageWikiLink Integer_lattice.
- Ideal_lattice_cryptography wikiPageWikiLink Invertible_matrix.
- Ideal_lattice_cryptography wikiPageWikiLink Irreducible_polynomial.
- Ideal_lattice_cryptography wikiPageWikiLink Isomorphism.
- Ideal_lattice_cryptography wikiPageWikiLink Lattice-based_cryptography.
- Ideal_lattice_cryptography wikiPageWikiLink Lattice_(group).
- Ideal_lattice_cryptography wikiPageWikiLink Lattice_problem.
- Ideal_lattice_cryptography wikiPageWikiLink Learning_with_errors.
- Ideal_lattice_cryptography wikiPageWikiLink Linear_independence.
- Ideal_lattice_cryptography wikiPageWikiLink Linear_time.
- Ideal_lattice_cryptography wikiPageWikiLink Monic_polynomial.
- Ideal_lattice_cryptography wikiPageWikiLink NTRUEncrypt.
- Ideal_lattice_cryptography wikiPageWikiLink NTRUSign.
- Ideal_lattice_cryptography wikiPageWikiLink Number_theory.
- Ideal_lattice_cryptography wikiPageWikiLink Open_problem.
- Ideal_lattice_cryptography wikiPageWikiLink Polynomial_ring.
- Ideal_lattice_cryptography wikiPageWikiLink Polynomial_time.
- Ideal_lattice_cryptography wikiPageWikiLink Post-quantum_cryptography.
- Ideal_lattice_cryptography wikiPageWikiLink Prime_number.
- Ideal_lattice_cryptography wikiPageWikiLink Public-key_cryptography.
- Ideal_lattice_cryptography wikiPageWikiLink Quotient_ring.
- Ideal_lattice_cryptography wikiPageWikiLink RSA_(algorithm).
- Ideal_lattice_cryptography wikiPageWikiLink RSA_(cryptosystem).
- Ideal_lattice_cryptography wikiPageWikiLink Ring_(mathematics).
- Ideal_lattice_cryptography wikiPageWikiLink Ring_Learning_with_Errors.
- Ideal_lattice_cryptography wikiPageWikiLink Ring_learning_with_errors_key_exchange.
- Ideal_lattice_cryptography wikiPageWikiLink SWIFFT.
- Ideal_lattice_cryptography wikiPageWikiLink Shortest_vector_problem.
- Ideal_lattice_cryptography wikiPageWikiLink Time_complexity.
- Ideal_lattice_cryptography wikiPageWikiLink Vector_space.
- Ideal_lattice_cryptography wikiPageWikiLinkText "Ideal Lattice Cryptography (Ring-Learning With Errors is one example of Ideal Lattice Cryptography)".
- Ideal_lattice_cryptography wikiPageWikiLinkText "Ideal Lattice".
- Ideal_lattice_cryptography wikiPageWikiLinkText "Ideal lattice cryptography".
- Ideal_lattice_cryptography wikiPageWikiLinkText "RLWE".
- Ideal_lattice_cryptography wikiPageWikiLinkText "Ring-LWE".
- Ideal_lattice_cryptography wikiPageWikiLinkText "ideal lattice".
- Ideal_lattice_cryptography wikiPageWikiLinkText "ideal lattices".
- Ideal_lattice_cryptography hasPhotoCollection Ideal_lattice_cryptography.
- Ideal_lattice_cryptography subject Category:Lattice-based_cryptography.
- Ideal_lattice_cryptography subject Category:Number_theory.
- Ideal_lattice_cryptography subject Category:Post-quantum_cryptography.
- Ideal_lattice_cryptography hypernym Class.
- Ideal_lattice_cryptography type Field.
- Ideal_lattice_cryptography comment "Ideal lattices are a special class of lattices and a generalization of cyclic lattices. Ideal lattices naturally occur in many parts of number theory, but also in other areas. In particular, they have a significant place in cryptography. Micciancio defined a generalization of cyclic lattices as ideal lattices. They can be used in cryptosystems to decrease by a square root the number of parameters necessary to describe a lattice, making them more efficient.".
- Ideal_lattice_cryptography label "Ideal lattice cryptography".
- Ideal_lattice_cryptography sameAs m.0g9tsl0.
- Ideal_lattice_cryptography sameAs Q5987986.
- Ideal_lattice_cryptography sameAs Q5987986.
- Ideal_lattice_cryptography wasDerivedFrom Ideal_lattice_cryptography?oldid=673074025.
- Ideal_lattice_cryptography isPrimaryTopicOf Ideal_lattice_cryptography.