Normal basis

Known as: Normal, Normal basis theorem, Primitive normal basis

In mathematics, a normal basis in field theory is a special kind of basis for Galois extensions of finite degree, characterised as forming a single…

Papers overview

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2015

There is an increasing trend towards use of smartphones as mobile computing devices, and engineering education should stay…

2014

Explicit formulae and complexities of bit-parallel GF(2 n ) squarers for a new class of irreducible pentanomials x n + x n-1…

2012

This work presents a novel scalable multiplication algorithm for a type-t Gaussian normal basis (GNB) of GF(2m). Utilizing the…

2007

2007

Bivariate polynomial factorization is an important stage of algebraic soft-decision decoding of Reed-Solomon (RS) codes and…

2004

In this article, two digit-serial architectures for normal basis multipliers over (GF(2m)) are presented. These two structures…

2003

Using the self duality of an optimal normal basis (ONB) of type II, we present a bit parallel systolic multiplier over GF(2/sup m…

1997

The authors present a new algorithm for computing a/sup e/ where a/spl isin/GF(2/sup k/) and e is a positive integer. The…

Highly Cited

1992

Highly Cited

1992

Let K ⊂ L be a finite Galois extension of fields, of degree n. Let G be the Galois group, and let (<α)<∈G be a normal basis for L…

1990