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NTRU: A Ring-Based Public Key Cryptosystem
TLDR
NTRU encryption and decryption use a mixing system suggested by polynomial algebra combined with a clustering principle based on elementary probability theory to create a new public key cryptosystem.
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NTRUSIGN: Digital Signatures Using the NTRU Lattice
TLDR
A mechanism to encrypt to an arbitrary collection of identities using a variant of the Boneh-Franklin identity based encryption scheme that enables a simple mechanism to drive access control to broadcast encrypted data using user identities as the public keys.
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Bi-parameter paraproducts
In the first part of the paper we prove a bi-parameter version of a well known multilinear theorem of Coifman and Meyer. As a consequence, we generalize the Kato-Ponce inequality in nonlinear PDE,…
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An introduction to mathematical cryptography
TLDR
The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling.
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The theory of weights and the Dirichlet problem for elliptic equations
In this work we consider questions from the area of partial differential equations and the related questions from harmonic analysis. Specifically, we will study the Dirichlet problem for second order…
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Multiparameter operators and sharp weighted inequalities
This article is concerned with the operators from harmonic analysis which are naturally associated to a multiple parameter family of dilations. We are especially interested here in dealing with…
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The Dirichlet problem for elliptic equations with drift terms
We establish absolute continuity of the elliptic measure associated to certain second order elliptic equations in either divergence or nondivergence form, with drift terms, under minimal smoothness…
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Choosing Parameters for NTRUEncrypt
TLDR
A method for generating parameter sets, and calculating security estimates, for NTRUEncrypt, and two new parameter sets designed to provide \(\ge 128\)-bit post-quantum security are described.
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The neumann problem for elliptic equations with non-smooth coefficients
In this paper we study the Neumann and regularity problems for divergence form symmetric elliptic operators L = div AV, where A = (aifiX)) is a matrix of bounded measurable functions and ellipticity…
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NSS: An NTRU Lattice-Based Signature Scheme
A new authentication and digital signature scheme called the NTRU Signature Scheme (NSS) is introduced. NSS provides an authentication/signature method complementary to the NTRU public key…
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