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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… Expand
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Papers overview

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2012
2012
We derive sufficient conditions under which all but two zeros of reciprocal polynomials lie on the unit circle, and specify the… Expand
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2010
2010
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… Expand
  • table 1
  • table 2
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2007
2007
For integral self-reciprocal polynomials P(z) and Q(z) with all zeros lying on the unit circle, does there exist integral self… Expand
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2005
2005
  • Helmut Meyn
  • Applicable Algebra in Engineering, Communication…
  • 2005
  • Corpus ID: 7965318
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… Expand
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2003
2003
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… Expand
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2002
2002
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… Expand
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1996
1996
Abstract A ‘switched’ or ‘multimode’ system is one that can switch between various modes of operation. We consider here switched… Expand
  • figure 1
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1991
1991
We investigate a nonstandard output convention for sorting. Specifically, the input elements are to be returned not in an array… Expand
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1989
1989
The reciprocal f (x) of a polynomial f(x) of degree n is defined by f (x) = xf(1/x). A polynomial is called self-reciprocal if it… Expand
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1980
1980
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… Expand
  • table 1
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