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TC

2002

11 years 1 months ago
2002

This article presents simple and highly regular architectures for finite field multipliers using a redundant representation. The basic idea is to embed a finite field into a cyclo...

MOC

2002

11 years 1 months ago
2002

We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...

ECCC

2000

11 years 1 months ago
2000

Boneh and Venkatesan have recently proposed a polynomial time algorithm for recovering a "hidden" element of a finite field Fp of p elements from rather short strings of...

COMBINATORICS

2004

11 years 1 months ago
2004

We develop an analog of the exponential families of Wilf in which the label sets are finite dimensional vector spaces over a finite field rather than finite sets of positive integ...

AAECC

2002

Springer

11 years 1 months ago
2002

Springer

Let Fq be the finite field of order q and be an element of Fq of order d. The construction of an explicit polynomial f (X) Fq[X] of degree d - 1 with the property f i = i2 for ...

TC

2008

11 years 1 months ago
2008

A high performance architecture of elliptic curve scalar multiplication over finite field GF(2m ) is proposed. A pseudo-pipelined word serial finite field multiplier with word siz...

CORR

2006

Springer

11 years 1 months ago
2006

Springer

In this paper we propose the group of unitriangular matrices over a finite field as a non-abelian group and composition of inner, diagonal and central automorphisms as a group of a...

FOCM

2008

11 years 1 months ago
2008

Let Fq be the finite field of q elements, where q = ph. Let f(x) be a polynomial over Fq in n variables with m non-zero terms. Let N(f) denote the number of solutions of f(x) = 0 ...

FFA

2008

11 years 1 months ago
2008

Let k be a finite field with q elements. Let kn be the extension of k with degree n. Let Nn be the kernel of the norm map Nkn/k : k

CORR

2010

Springer

11 years 1 months ago
2010

Springer

Let Fq be a finite field, Fqs be an extension of Fq, let f(x) Fq[x]