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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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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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Falcon: Fast-Fourier Lattice-based Compact Signatures over NTRU
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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Nonvanishing theorems for automorphic L-functions on GL(2)
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Coefficient of Maass forms and the Siegel zero (with an Appendix by Dorian Goldfeld, Jeffrey Hoffstein, and Daniel Lieman)
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Eisenstein series of 1/2-integral weight and the mean value of real DirichletL-series
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Optimizations for NTRU
TLDR
A variety of methods that may be used to increase the speed and efficiency of the NTRU public key cryptosystem are described.
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Average values of L-series in function fields.
Let D denote an integer congruent to 0 or l modulo 4 and not a square. Then D can be uniquely written äs D — D0m where Z)0, m e Z and either D0 is square-free and D0 = l (mod4) or D0 = 4m0 with m0…
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