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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… (More)
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Topic mentions per year

Topic mentions per year

1968-2018
05101519682018

Related topics

Related topics

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

Related mentions per year

1936-2018
19401960198020002020
Primitive polynomial (field theory)
Irreducible polynomial
Pseudorandom number generator
Cyclic redundancy check
Linear-feedback shift register
Polynomial basis

Papers overview

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2012
2012
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… (More)
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2008
2008
Calculation of LFSR Seed and Polynomial Pair for BIST Applications
Polynomial selection for LFSR-based BIST schemes has been typically left out of the scope of active research in the recent works… (More)
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2007
2007
LFSR Based Stream Ciphers Are Vulnerable to Power Attacks
Linear Feedback Shift Registers (LFSRs) are used as building blocks for many stream ciphers, wherein, an n-degree primitive… (More)
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2003
2003
Primitive Polynomials over Finite Fields of Characteristic Two
Let F q be a finite field of characteristic two. We prove that for any given element a F q , there exists a primitive polynomial… (More)
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2003
2003
p-ADIC FORMAL SERIES AND PRIMITIVE POLYNOMIALS OVER FINITE FIELDS
In this paper, we investigate the Hansen-Mullen conjecture with the help of some formal series similar to the Artin-Hasse… (More)
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2001
2001
Primitive Polynomials over GF(2) - A Cryptologic Approach
Linear Feedback Shift Registers (LFSR) are important building blocks in stream cipher systems. The connection polynomials of the… (More)
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1999
1999
An observation on the Key Schedule of Twofish
The byte block cipher Two sh was proposed as a candidate for the Advanced En cryption Standard AES This paper notes the following… (More)
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1996
1996
The coefficients of primitive polynomials over finite fields
For n ≥ 7, we prove that there always exists a primitive polynomial of degree n over a finite field Fq (q odd) with the first and… (More)
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1995
1995
Primitive polynomial remainder sequences in elimination theory
Primitive polynomial remainder sequences (pprs) are more than a tool for computing gcd's; the content computations in the course… (More)
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1990
1990
Design considerations for Parallel pseudoRandom Pattern Generators
The design of a Parallel (pseudo)Random Pattern Generator (PRPG) based on a Linear Feedback Shift Register (LFSR) involves the… (More)
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