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In this example, we shall encode 14 bits of message with a 3-bit CRC, with a polynomial x 3 + x + 1. The polynomial is written in binary as the coefficients; a 3rd-degree polynomial has 4 coefficients (1x 3 + 0x 2 + 1x + 1). In this case, the coefficients are 1, 0, 1 and 1. The result of the calculation is 3 bits long, which is why it is called ...
Printable version; In other projects ... CRC Press. Section 11. ISBN 978-0-8493-0487-3. Template documentation. Usage This page was last edited ...
The msbit-first form is often referred to in the literature as the normal representation, while the lsbit-first is called the reversed representation. It is essential to use the correct form when implementing a CRC.
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Print/export Download as PDF; ... CRC with length appended CRC-8: 8 bits CRC: CRC-16: ... based on Keccak MD6: 512 bits Merkle tree NLFSR:
One of the most commonly encountered CRC polynomials is known as CRC-32, used by (among others) Ethernet, FDDI, ZIP and other archive formats, and PNG image format. Its polynomial can be written msbit-first as 0x04C11DB7, or lsbit-first as 0xEDB88320. This is a practical example for the CRC-32 variant of CRC. [5]
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The remainder becomes the result. A CRC has properties that make it well suited for detecting burst errors. CRCs are particularly easy to implement in hardware and are therefore commonly used in computer networks and storage devices such as hard disk drives. The parity bit can be seen as a special-case 1-bit CRC.
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