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Mathematics of cyclic redundancy checks

Known as: Mathematics of CRCs, Mathematics of crc, Mathmatics of CRCs 
The cyclic redundancy check (CRC) is based on division in the ring of polynomials over the finite field GF(2) (the integers modulo 2), that is, the… 
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Related topics

Related topics

14 relations
CRC-based framingChecksumCoefficientCyclic redundancy check

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Identification of steady-state inductances of PMSM using polynomial representations of the flux surfaces
Sophisticated model based control strategies for permanent magnet synchronous machines (PMSM) require precise modeling and… 
2012
2012
Reciprocal polynomials with all but two zeros on the unit circle
We derive sufficient conditions under which all but two zeros of reciprocal polynomials lie on the unit circle, and specify the… 
2010
2010
Reciprocal Polynomials Having Small Measure
The measure of a monic polynomial is the product of the absolute value of the roots which lie outside and on the unit circle. We… 
2007
2007
THE ZEROS OF CERTAIN FAMILY OF SELF-RECIPROCAL POLYNOMIALS
For integral self-reciprocal polynomials P(z) and Q(z) with all zeros lying on the unit circle, does there exist integral self… 
2003
2003
On zeros of reciprocal polynomials of odd degree
  • 2003
  • Corpus ID: 14335777
The first author [1] proved that all zeros of the reciprocal polynomial Pm(z) = m ∑ k=0 Akz k (z ∈ C), of degreem ≥ 2 with real… 
Highly Cited
2002
Highly Cited
2002
On zeros of reciprocal polynomials
The purpose of this paper is to show that all zeros of the reciprocal polynomial Pm(z) = m ∑ k=0 Akz k (z ∈ C) of degree m ≥ 2… 
Highly Cited
1996
Highly Cited
1996
Impulsive-smooth behavior in multimode systems part I: State-space and polynomial representations
1991
1991
Constant-time parallel integer sorting
We investigate a nonstandard output convention for sorting. Specifically, the input elements are to be returned not in an array… 
Highly Cited
1990
Highly Cited
1990
On the construction of irreducible self-reciprocal polynomials over finite fields
AbstractThe transformationf(x)↦fQx≔deg(f)f(x + 1/x) for f(x)∈ $$\mathbb{F}_q [x]$$ is studied. Simple criteria are given for the… 
Highly Cited
1980
Highly Cited
1980
Reciprocal polynomials having small measure. II
The measure of a monic polynomial is the product of the absolute value of the roots which lie outside and on the unit circle. We… 
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