32-Bit Cyclic Redundancy Code Polynomial.pdf

32-Bit Cyclic Redundancy Code Polynomial PDF

Fanuel Olege

A 32-bit cyclic redundancy code is a type of algebraic polynomial in x with coefficients from a set A of binary numbers. It is used to detect accidental alterations of data during coding and decoding. Castagnolis results on the algorithmic selection of CRC provide codes which can detect up to 5 errors. In this study we use polynomial algebra over the field and the geometry of the code space to model a class of 32-bit CRC polynomials which can detect up to 7 errors.

32-Bit Cyclic Redundancy Codes for Internet Applications binary data word as a polynomial over GF(2) (i.e., with each polynomial coefficient being zero or one) and per-forming polynomial division by a generator polynomial G(x). The generator polynomial will be called a CRC poly-nomial for short. (CRC polynomials are also known as feedback polynomials, in reference to the feedback taps of

3659424153 ISBN
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32-Bit Cyclic Redundancy Code Polynomial.pdf


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