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md5sum is a computer program that calculates and verifies 128-bit MD5 hashes, as described in RFC 1321. The MD5 hash functions as a compact digital fingerprint of a file. As with all such hashing algorithms, there is theoretically an unlimited number of files that will have any given MD5 hash.
denotes addition modulo 2 32. MD5 processes a variable-length message into a fixed-length output of 128 bits. The input message is broken up into chunks of 512-bit blocks (sixteen 32-bit words); the message is padded so that its length is divisible by 512. The padding works as follows: first, a single bit, 1, is appended to the end of the message.
The ".md5" file extension, or a file named "MD5SUMS", indicates a checksum file containing 128-bit MD5 hashes in md5sum format. The ".sfv" file extension indicates a checksum file containing 32-bit CRC32 checksums in simple file verification format. The "crc.list" file indicates a checksum file containing 32-bit CRC checksums in brik format.
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Windows 95, 98, ME have a 4 GB limit for all file sizes. Windows XP has a 16 TB limit for all file sizes. Windows 7 has a 16 TB limit for all file sizes. Windows 8, 10, and Server 2012 have a 256 TB limit for all file sizes. Linux. 32-bit kernel 2.4.x systems have a 2 TB limit for all file systems.
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The effect of a checksum algorithm that yields an n-bit checksum is to map each m-bit message to a corner of a larger hypercube, with dimension m + n. The 2 m + n corners of this hypercube represent all possible received messages. The valid received messages (those that have the correct checksum) comprise a smaller set, with only 2 m corners.