Mathematics of cyclic redundancy checks

Known as: Mathematics of CRC, Mathematics of CRCs, 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… (More)
Wikipedia

Topic mentions per year

Topic mentions per year

1974-2016
02419742016

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2015
2015
Wireless technology has become a main player in communication through its desirable mobility characteristic. However, like many… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • table III
Is this relevant?
2013
2013
This letter proposes an alternative expression of polar codes using polynomial representations. Polynomial representations may… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
  • figure 5
Is this relevant?
2013
2013
Numerous results on self-reciprocal polynomials over finite fields have been studied. In this paper we generalize some of these… (More)
Is this relevant?
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… (More)
  • table 1
Is this relevant?
2006
2006
We study the geometry, topology and Lebesgue measure of the set of monic conjugate reciprocal polynomials of fixed degree with… (More)
Is this relevant?
2004
2004
We study the distribution of Mahler’s measures of reciprocal polynomials with complex coefficients and bounded even degree. We… (More)
Is this relevant?
2003
2003
The first author [1] proved that all zeros of the reciprocal polynomial Pm(z) = m ∑ k=0 Akz k (z ∈ C), of degree m ≥ 2 with real… (More)
  • figure 3.1
Is this relevant?
2003
2003
We classify certain automorphisms of an even unimodular lattice L with fixed irreducible and unramified characteristic polynomial… (More)
Is this relevant?
1994
1994
In this paper, we investigate the robustness properties of univariate and multivariate reciprocal polynomials that are nonzero on… (More)
  • figure 1
Is this relevant?
1992
1992
For a finite field GF(q) of odd prime power order q, and n > 1, we construct explicitly a sequence of monic irreducible… (More)
Is this relevant?