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Primitive polynomial (field theory)

Known as: Primitive polynomial 
In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF(pm… 
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Related topics

Related topics

15 relations
All one polynomialConway polynomial (finite fields)Cyclic redundancy checkGauss's lemma (polynomial)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2021
2021
Algorithms for Finding Almost Irreducible and Almost Primitive Trinomials
  • 2021
  • Corpus ID: 18551661
Dedicated to Hugh Cowie Williams on the occasion of his 60th birthday. Abstract. Consider polynomials over GF(2). We describe… 
2015
2015
A Novel En-Route Filtering Scheme Against False Data Injection Attacks in Cyber-Physical Networked Systems
In Cyber-Physical Networked Systems (CPNS), the adversary can inject false measurements into the controller through compromised… 
2014
2014
A Class of de Bruijn Sequences
In this paper, a class of linear feedback shift registers (LFSRs) with characteristic polynomial (1 + x3)p(x) is discussed, where… 
Review
2005
Review
2005
All-optical signal Processing and applications within the esprit project DO/spl I.bar/ALL
This paper reviews the work performed under the European ESPRIT project DO/spl I.bar/ALL (Digital OpticAL Logic modules) spanning… 
2003
2003
Random Number Generators with Period Divisible by a Mersenne Prime
Pseudo-random numbers with long periods and good statistical properties are often required for applications in computational… 
2002
2002
An optimized processor for fast Reed-Solomon encoding and decoding
In this paper we present an optimized processor for fast Reed-Solomon encoding and decoding by using a configurable processor… 
2000
2000
Improved blind turbo detector
  • P. HaB. Honary
  • VTC-Spring. IEEE 51st Vehicular Technology…
  • 2000
  • Corpus ID: 62187742
The subject of turbo coding in the presence of an intersymbol interference (ISI) channel whose characteristics are unknown is… 
1994
1994
Weight distributions of some binary primitive cyclic codes
Let s and k be integers such that s is a divisor of 2/sup k/-1. Let g(x) be a divisor of x/sup s/-1 over F/sub 2/, and let /spl… 
1993
1993
Primitive polynomials and M-sequences over GF(qm)
Procedures for obtaining primitive polynomials and m-sequences over GF(q/sup m/) in terms of primitive polynomials and m… 
Highly Cited
1985
Highly Cited
1985
Crosscorrelation of M-sequences and GMW-sequences with the same primitive polynomial
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