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How to calculate CRC in C#?

, 13 Apr 2009
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How to calculate CRC in C#?

First of all, I want to beg your pardon about the frequency of posts last time. I'm completely understaffed and have a ton of things to do for my job. This is why, today I'll just write a quick post about checksum calculation in C#. It might be very useful for any of you working with devices or external systems.

BIOS CRC Error for old thinkpad

CRC – Cyclic Redundancy Check is an algorithm which is widely used in different communication protocols, packing and packaging algorithms for assuring robustness of data. The idea behind it is simple – calculate a unique checksum (frame check sequence) for each data frame, based on its content and stick it at the end of each meaningful message. Once data is received, it’s possible to perform the same calculation and compare results – if results are similar, message is ok.

There are two kinds of CRC – 16 and 32 bit. There are also less used checksums for 8 and 64 bits. All this is about appending a string of zeros to the frame equal in number of frames and modulo two device by using generator polynomial containing one or more bits, then checksum to be generated. This is very similar to performing a bit-wise XOR operation in the frame, while the remainder is actually our CRC.

In many industries, the first polynomial is in use to create CRC tables and then apply it for performance purposes. The default polynomial, defined by IEEE 802.3 is 0xA001 for 16 bit and 0×04C11DB7 for 32 bit. We're in C#, thus we should use its inversed version which is 0×8408 for 16 bit and 0xEDB88320 for 32 bit. We're going to use those polynomials also in our sample.

So let’s start. Because CRC is HashAlgorithm after all, we can derive our classes from System.Security.Cryptography.HashAlgorithm class.

public class CRC16 : HashAlgorithm {
public class CRC32 : HashAlgorithm {

Then, upon first creation we'll generate hashtables with CRC values to enhance future performance. It’s all about values table for bytes from 0 to 255 , so we should calculate it only once and then we can use it statically.

[CLSCompliant(false)]
public CRC16(ushort polynomial) {
HashSizeValue = 16;
_crc16Table = (ushort[])_crc16TablesCache[polynomial];
if (_crc16Table == null) {
_crc16Table = CRC16._buildCRC16Table(polynomial);
_crc16TablesCache.Add(polynomial, _crc16Table);
}
Initialize();
}

[CLSCompliant(false)]
public CRC32(uint polynomial) {
HashSizeValue = 32;
_crc32Table = (uint[])_crc32TablesCache[polynomial];
if (_crc32Table == null) {
_crc32Table = CRC32._buildCRC32Table(polynomial);
_crc32TablesCache.Add(polynomial, _crc32Table);
}
Initialize();
}

Then let’s calculate it:

private static ushort[] _buildCRC16Table(ushort polynomial) {
// 256 values representing ASCII character codes.
ushort[] table = new ushort[256];
for (ushort i = 0; i < table.Length; i++) {
ushort value = 0;
ushort temp = i;
for (byte j = 0; j < 8; j++) {
if (((value ^ temp) & 0×0001) != 0) {
value = (ushort)((value >> 1) ^ polynomial);
} else {
value >>= 1;
}
temp >>= 1;
}
table[i] = value;
}
return table;
}
private static uint[] _buildCRC32Table(uint polynomial) {
uint crc;
uint[] table = new uint[256];
// 256 values representing ASCII character codes.
for (int i = 0; i < 256; i++) {
crc = (uint)i;
for (int j = 8; j > 0; j–) {
if ((crc & 1) == 1)
crc = (crc >> 1) ^ polynomial;
else
crc >>= 1;
}
table[i] = crc;
}
return table;
}

The result will look like this for 32 bits:

0x00, 0x31, 0x62, 0x53, 0xC4, 0xF5, 0xA6, 0x97,
0xB9, 0x88, 0xDB, 0xEA, 0x7D, 0x4C, 0x1F, 0x2E,
0x43, 0x72, 0x21, 0x10, 0x87, 0xB6, 0xE5, 0xD4,
0xFA, 0xCB, 0x98, 0xA9, 0x3E, 0x0F, 0x5C, 0x6D,
0x86, 0xB7, 0xE4, 0xD5, 0x42, 0x73, 0x20, 0x11,
0x3F, 0x0E, 0x5D, 0x6C, 0xFB, 0xCA, 0x99, 0xA8,
0xC5, 0xF4, 0xA7, 0x96, 0x01, 0x30, 0x63, 0x52,
0x7C, 0x4D, 0x1E, 0x2F, 0xB8, 0x89, 0xDA, 0xEB,
0x3D, 0x0C, 0x5F, 0x6E, 0xF9, 0xC8, 0x9B, 0xAA,
0x84, 0xB5, 0xE6, 0xD7, 0x40, 0x71, 0x22, 0x13,
0x7E, 0x4F, 0x1C, 0x2D, 0xBA, 0x8B, 0xD8, 0xE9,
0xC7, 0xF6, 0xA5, 0x94, 0x03, 0x32, 0x61, 0x50,
0xBB, 0x8A, 0xD9, 0xE8, 0x7F, 0x4E, 0x1D, 0x2C,
0x02, 0x33, 0x60, 0x51, 0xC6, 0xF7, 0xA4, 0x95,
0xF8, 0xC9, 0x9A, 0xAB, 0x3C, 0x0D, 0x5E, 0x6F,
0x41, 0x70, 0x23, 0x12, 0x85, 0xB4, 0xE7, 0xD6,
0x7A, 0x4B, 0x18, 0x29, 0xBE, 0x8F, 0xDC, 0xED,
0xC3, 0xF2, 0xA1, 0x90, 0x07, 0x36, 0x65, 0x54,
0x39, 0x08, 0x5B, 0x6A, 0xFD, 0xCC, 0x9F, 0xAE,
0x80, 0xB1, 0xE2, 0xD3, 0x44, 0x75, 0x26, 0x17,
0xFC, 0xCD, 0x9E, 0xAF, 0x38, 0x09, 0x5A, 0x6B,
0x45, 0x74, 0x27, 0x16, 0x81, 0xB0, 0xE3, 0xD2,
0xBF, 0x8E, 0xDD, 0xEC, 0x7B, 0x4A, 0x19, 0x28,
0x06, 0x37, 0x64, 0x55, 0xC2, 0xF3, 0xA0, 0x91,
0x47, 0x76, 0x25, 0x14, 0x83, 0xB2, 0xE1, 0xD0,
0xFE, 0xCF, 0x9C, 0xAD, 0x3A, 0x0B, 0x58, 0x69,
0x04, 0x35, 0x66, 0x57, 0xC0, 0xF1, 0xA2, 0x93,
0xBD, 0x8C, 0xDF, 0xEE, 0x79, 0x48, 0x1B, 0x2A,
0xC1, 0xF0, 0xA3, 0x92, 0x05, 0x34, 0x67, 0x56,
0x78, 0x49, 0x1A, 0x2B, 0xBC, 0x8D, 0xDE, 0xEF,
0x82, 0xB3, 0xE0, 0xD1, 0x46, 0x77, 0x24, 0x15,
0x3B, 0x0A, 0x59, 0x68, 0xFF, 0xCE, 0x9D, 0xAC

Now, all we have to do upon request is to lookup into this hash table for related value and XOR it:

protected override void HashCore(byte[] buffer, int offset, int count) {
for (int i = offset; i < count; i++) {
ulong ptr = (_crc & 0xFF) ^ buffer[i];
_crc >>= 8;
_crc ^= _crc32Table[ptr];
}
}
new public byte[] ComputeHash(Stream inputStream) {
byte[] buffer = new byte[4096];
int bytesRead;
while ((bytesRead = inputStream.Read(buffer, 0, 4096)) > 0) {
HashCore(buffer, 0, bytesRead);
}
return HashFinal();
}
protected override byte[] HashFinal() {
byte[] finalHash = new byte[4];
ulong finalCRC = _crc ^ _allOnes;
finalHash[0] = (byte)((finalCRC >> 0) & 0xFF);
finalHash[1] = (byte)((finalCRC >> <img class="wp-smiley" alt="8)" src="http://khason.net/wp-includes/images/smilies/icon_cool.gif" /> & 0xFF);
finalHash[2] = (byte)((finalCRC >> 16) & 0xFF);
finalHash[3] = (byte)((finalCRC >> 24) & 0xFF);
return finalHash;
}

We're done. Have a good time and be good people. Also, I want to thank Boris for helping me with this article. He promised to write here some day…

License

This article, along with any associated source code and files, is licensed under The Microsoft Public License (Ms-PL)

About the Author

Tamir Khason
Architect Better Place
Israel Israel
Hello! My name is Tamir Khason, and I am software architect, project manager, system analyst and [of course] programmer. In addition to writing big amount of documentation, I also write code, a lot of code. I used to work as a freelance architect, project manager, trainer, and consultant here, in Israel, but recently join the company with extremely persuasive idea - to make a world better place. I have very pretty wife and 3 charming kids, but unfortunately almost no time for them.
 
To be updated within articles, I publishing, visit my blog or subscribe RSS feed. Also you can follow me on Twitter to be up to date about my everyday life.

Comments and Discussions

 
Questioncrc16 bug? PinmemberAlberto Molero17-Sep-13 22:24 
AnswerRe: crc16 bug? PinmemberAlberto Molero17-Sep-13 22:26 
GeneralMy vote of 1 PinmemberMember 92037495-Sep-13 3:50 
QuestionSmall bug when calculating crc over part of byte array PinmemberAndrew Pearson29-Jul-13 14:31 
Questioncode is functional but is trash Pinmemberjack asshole12-Dec-12 17:01 
AnswerRe: code is functional but is trash PinmemberAndrew Pearson29-Jul-13 14:28 
QuestionI dont get it to work for a message with crc16..... is the message coded by another algorithm? [modified] PinmemberConnyWesth17-Jun-12 21:01 
GeneralMy vote of 5 PinmemberShaneMcDonald27-Jan-11 11:55 
GeneralMy vote of 3 PinmemberReuben200529-Aug-10 0:03 
Questionhow you inveresed 0xA001 Pinmemberlaithadhary25-May-10 22:57 
GeneralMy vote of 1 PinmemberSoft_banuma5-Feb-10 22:17 
GeneralFormat/Indentation PinmemberDust Signs24-Jun-09 21:26 

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