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AbstractHash signatures are increasingly used for data integrity in an array of disciplines Two of the standard methods of hashing are subject to collision that negates some of the benefits received With computing power increasing markedly old approaches need to be reexamined to determine how to restore the safety of the data upon which commerce rests Those new to cryptography would benefit from learning how hashes are constructed and reverse engineered While the outline of the techniques will be provided for a detailed discussion please consult the referencesHashes are mathematical functions that are designed so the original input is not able to be obtained from the output Cryptographically this should allow a fingerprint to be generated based on unique characteristics of the input that is used to verify the item in question via a function When two or more inputs cause the same output to be generated a collision results that cause ambiguity regarding the content of the original message Undecipherability renders the communication meaningless and not germane Secrecy is not the aim but a byproduct of this process given no one but you and an adversary know the hashing methods Requirements for the fastness of a secret vary considerably but this process lends itself to representing vast quantities of information in a compact form that may be a good choice Usage of hashes in this manner allows a reproducible function to be speedily applied on a password that is input at the terminal to verify the correct user login This speed comes at a disadvantage of being able easily to decrypt the passwords of all users including root when the file is decrypted by a malicious user While it is a marked improvement over clear text more work needs to be done in order to find a robust hashing function12 Moores Law5 remains a pertinacious encumbrance and a provenance of much vicissitude Provably secure functions exist but they are not computationally
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