MESSAGE
| DATE | 2016-04-12 |
| FROM | Ruben Safir
|
| SUBJECT | Subject: [Hangout-NYLXS] the EASY and PAINLESS guil to CRC checksums
|
http://www.ross.net/crc/download/crc_v3.txt
A PAINLESS GUIDE TO CRC ERROR DETECTION ALGORITHMS
==================================================
"Everything you wanted to know about CRC algorithms, but were afraid
to ask for fear that errors in your understanding might be detected."
Version : 3.
Date : 19 August 1993.
Author : Ross N. Williams.
Net : ross-at-guest.adelaide.edu.au.
FTP : ftp.adelaide.edu.au/pub/rocksoft/crc_v3.txt
Company : Rocksoft^tm Pty Ltd.
Snail : 16 Lerwick Avenue, Hazelwood Park 5066, Australia.
Fax : +61 8 373-4911 (c/- Internode Systems Pty Ltd).
Phone : +61 8 379-9217 (10am to 10pm Adelaide Australia time).
Note : "Rocksoft" is a trademark of Rocksoft Pty Ltd, Australia.
Status : Copyright (C) Ross Williams, 1993. However, permission is
granted to make and distribute verbatim copies of this
document provided that this information block and copyright
notice is included. Also, the C code modules included
in this document are fully public domain.
Thanks : Thanks to Jean-loup Gailly (jloup-at-chorus.fr) and Mark Adler
(me-at-quest.jpl.nasa.gov) who both proof read this document
and picked out lots of nits as well as some big fat bugs.
Table of Contents
-----------------
Abstract
1. Introduction: Error Detection
2. The Need For Complexity
3. The Basic Idea Behind CRC Algorithms
4. Polynomical Arithmetic
5. Binary Arithmetic with No Carries
6. A Fully Worked Example
7. Choosing A Poly
8. A Straightforward CRC Implementation
9. A Table-Driven Implementation
10. A Slightly Mangled Table-Driven Implementation
11. "Reflected" Table-Driven Implementations
12. "Reversed" Polys
13. Initial and Final Values
14. Defining Algorithms Absolutely
15. A Parameterized Model For CRC Algorithms
16. A Catalog of Parameter Sets for Standards
17. An Implementation of the Model Algorithm
18. Roll Your Own Table-Driven Implementation
19. Generating A Lookup Table
20. Summary
21. Corrections
A. Glossary
B. References
C. References I Have Detected But Haven't Yet Sighted
Abstract
--------
This document explains CRCs (Cyclic Redundancy Codes) and their
table-driven implementations in full, precise detail. Much of the
literature on CRCs, and in particular on their table-driven
implementations, is a little obscure (or at least seems so to me).
This document is an attempt to provide a clear and simple no-nonsense
explanation of CRCs and to absolutely nail down every detail of the
operation of their high-speed implementations. In addition to this,
this document presents a parameterized model CRC algorithm called the
"Rocksoft^tm Model CRC Algorithm". The model algorithm can be
parameterized to behave like most of the CRC implementations around,
and so acts as a good reference for describing particular algorithms.
A low-speed implementation of the model CRC algorithm is provided in
the C programming language. Lastly there is a section giving two forms
of high-speed table driven implementations, and providing a program
that generates CRC lookup tables.
it is like 1000 pages long
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