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The Grobner basis for a zero-dimensional polynomial ideal comprises a univariate polynomial in the least variable. The elimination process in Buchberger's algorithm unnecessarily involves the least va...
The federal government selected four algorithms to serve as standards for public key security in the pending era of quantum computers, three of which are based on technology devised by a team of Brown...
Among the many avenues that viruses, such as the novel coronavirus, can use to infect humans, drinking water may pose only a tiny risk. However, in cases where there is unauthorized wastewater disposa...
The best-known particle in the lepton family is the electron, a key building block of matter and central to our understanding of electricity. But the electron is not an only child. It has two heavier ...
Password-Authenticated Key Exchange (PAKE) is a method to establish cryptographic keys between two users sharing a low-entropy password. In its asymmetric version, one of the users acts as a server an...
A traitor tracing scheme is a multi-user public-key encryption scheme where each user in the system holds a decryption key that is associated with the user's identity. Using the public key, a content ...
Homomorphic Encryption is a breakthrough technology which can enable private cloud storage and computation solutions, and many applications have been described in the literature in the last few years....
Non-zero inner product encryption (NIPE) allows a user to encrypt a message with its attribute vector and decryption is possible using a secret-key associated with a predicate vector if the inner prod...
We provide new zero-knowledge argument of knowledge systems that work directly for a wide class of language, namely, ones involving the satisfiability of matrix-vector relations and integer relations ...
Since the seminal result of Kilian, Oblivious Transfer has proven to be a fundamental primitive in cryptography. In such a scheme, a user is able to gain access to an element owned by a server, withou...
We construct a broadcast and trace scheme (also known as trace and revoke or broadcast, trace and revoke) with NN users, where the ciphertext size can be made as low as O(Nϵ)O(Nϵ), for any...
Cryptographic anonymous credential schemes allow users to prove their personal attributes, such as age, nationality, or the validity of a ticket or a pre-paid pass, while preserving their privacy, as ...
We propose Lelantus, a new anonymous payment system which ensures both transaction confidentiality and anonymity with small proof sizes, short verification times and without requiring a trusted setup.
Ring signatures allow for creating signatures on behalf of an ad hoc group of signers, hiding the true identity of the signer among the group. A natural goal is to construct a ring signature scheme fo...
In a group signature scheme, users can anonymously sign messages on behalf of the group they belong to, yet it is possible to trace the signer when needed. Since the first proposal of lattice-based gr...

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