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REPORTS > KEYWORD > CHINESE REMAINDER THEOREM:
Reports tagged with Chinese Remainder Theorem:
TR00-012 | 14th February 2000
Ke Yang

#### Integer Circuit Evaluation is PSPACE-complete

In this paper, we address the problem of evaluating the
Integer Circuit (IC), or the $\{\cup, \times, +\}$-circuit over
the set of natural numbers. The problem is a natural extension
to the integer expression by Stockmeyer and Mayer, and is also studied
by Mckenzie, Vollmer and Wagner in ... more >>>

TR07-021 | 5th March 2007
Brett Hemenway, Rafail Ostrovsky

#### Public Key Encryption Which is Simultaneously a Locally-Decodable Error-Correcting Code

Revisions: 3

In this paper, we introduce the notion of a Public-Key Encryption (PKE) Scheme that is also a Locally-Decodable Error-Correcting Code.
In particular, our construction simultaneously satisfies all of the following properties:
\begin{itemize}
\item
Our Public-Key Encryption is semantically secure under a certain number-theoretic hardness assumption
... more >>>

TR18-026 | 7th February 2018
Lijie Chen

#### On The Hardness of Approximate and Exact (Bichromatic) Maximum Inner Product

Revisions: 1

In this paper we study the (Bichromatic) Maximum Inner Product Problem (Max-IP), in which we are given sets $A$ and $B$ of vectors, and the goal is to find $a \in A$ and $b \in B$ maximizing inner product $a \cdot b$. Max-IP is very basic and serves ... more >>>

TR22-063 | 30th April 2022
Vishwas Bhargava, Sumanta Ghosh, Zeyu Guo, Mrinal Kumar, Chris Umans

#### Fast Multivariate Multipoint Evaluation Over All Finite Fields

Multivariate multipoint evaluation is the problem of evaluating a multivariate polynomial, given as a coefficient vector, simultaneously at multiple evaluation points. In this work, we show that there exists a deterministic algorithm for multivariate multipoint evaluation over any finite field $\mathbb{F}$ that outputs the evaluations of an $m$-variate polynomial of ... more >>>

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