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» Linear Operator Channels over Finite Fields
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ISDA
2006
IEEE
14 years 1 months ago
Efficient Multiplier over Finite Field Represented in Type II Optimal Normal Basis
- Elliptic curve cryptography plays a crucial role in networking and information security area, and modular multiplication arithmetic over finite field is a necessary computation p...
Youbo Wang, Zhiguang Tian, Xinyan Bi, Zhendong Niu
FOCM
2008
77views more  FOCM 2008»
13 years 7 months ago
Modular Counting of Rational Points over Finite Fields
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 ...
Daqing Wan
ECCC
2010
104views more  ECCC 2010»
13 years 7 months ago
Pseudorandom generators for CC0[p] and the Fourier spectrum of low-degree polynomials over finite fields
In this paper we give the first construction of a pseudorandom generator, with seed length O(log n), for CC0[p], the class of constant-depth circuits with unbounded fan-in MODp ga...
Shachar Lovett, Partha Mukhopadhyay, Amir Shpilka
GLOBECOM
2010
IEEE
13 years 4 months ago
Mutual Information of MIMO Transmission over Correlated Channels with Finite Symbol Alphabets and Link Adaptation
In this paper, results on the mutual information of MIMO transmission over spatially correlated channels in slow fading environments are presented. Different receiver techniques su...
Eckhard Ohlmer, Udo Wachsmann, Gerhard Fettweis
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
14 years 1 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost