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» Pseudorandom Bits for Polynomials
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ICMS
2010
13 years 6 months ago
Efficient Evaluation of Large Polynomials
Abstract. Minimizing the evaluation cost of a polynomial expression is a fundamental problem in computer science. We propose tools that, for a polynomial P given as the sum of its ...
Charles E. Leiserson, Liyun Li, Marc Moreno Maza, ...
FOCS
1991
IEEE
14 years 23 hour ago
Computing Sums of Radicals in Polynomial Time
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
Johannes Blömer
FOCS
2008
IEEE
14 years 3 months ago
Fast Modular Composition in any Characteristic
We give an algorithm for modular composition of degree n univariate polynomials over a finite field Fq requiring n1+o(1) log1+o(1) q bit operations; this had earlier been achiev...
Kiran S. Kedlaya, Christopher Umans
AINA
2007
IEEE
14 years 2 months ago
Reducing the Complexity in the Distributed Multiplication Protocol of Two Polynomially Shared Values
The multiparty multiplication of two polynomially shared values over Zq with a public prime number q is an important module in distributed computations. The multiplication protoco...
Peter Lory
DELTA
2008
IEEE
14 years 3 months ago
High Performance FPGA Implementation of the Mersenne Twister
Efficient generation of random and pseudorandom sequences is of great importance to a number of applications [4]. In this paper, an efficient implementation of the Mersenne Twis...
Shrutisagar Chandrasekaran, Abbes Amira