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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.
2019
2019
CSPs with global modular constraints: algorithms and hardness via polynomial representations
We study the complexity of Boolean constraint satisfaction problems (CSPs) when the assignment must have Hamming weight in some… 
2018
2018
Reversible Codes and Its Application to Reversible DNA Codes over F4k
Coterm polynomials are introduced by Oztas et al. [a novel approach for constructing reversible codes and applications to DNA… 
2017
2017
MAHLER MEASURE OF ‘ALMOST’ RECIPROCAL POLYNOMIALS
We give a lower bound of the Mahler measure on a set of polynomials that are ‘almost’ reciprocal. Here ‘almost’ reciprocal means… 
2013
2013
Polynomial Representations of Polar Codes and Decoding under Overcomplete Representations
This letter proposes an alternative expression of polar codes using polynomial representations. Polynomial representations may… 
2013
2013
Some Properties of Generalized Self-reciprocal Polynomials over Finite Fields
Numerous results on self-reciprocal polynomials over finite fields have been studied. In this paper we generalize some of these… 
2011
2011
On the Zeros of a Family of Self-Reciprocal Polynomials
2011
2011
A Kind of Chebyshev Transform of Nonzero Reciprocal Polynomials with Integral Coefficients
According to the properties of the first kind and the second kind Chebyshev polynomials,Chebyshev transform of some nonzero… 
2010
2010
Structure of polynomial representations for orthosymplectic Lie superalgebras
Orthosymplectic Lie superalgebras are fundamental symmetries in modern physics, such as massive supergravity. However, their… 
2009
2009
Distribution of the zeros of certain self-reciprocal polynomials (Analytic Number Theory and Related Areas)
2006
2006
Distributed embedded system with internet GSM connectivity for intelligent e-monitoring of machine tools
Machining is one of the most important operations in many industrial environments. To prosper in today's competitive industrial… 
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