Cryptanalysis is the study of methods for obtaining the meaning of encrypted information, without knowledge of the secret key. It involves analyzing information systems to uncover hidden aspects and bypass security. The primary goal is to breach cryptographic security and access encrypted messages, even without the key. This is achieved through various techniques that exploit vulnerabilities in cryptographic algorithms or their implementation.
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In 1920, the word "cryptanalysis" was coined by William Friedman.
In 1980, a difficult 50-digit number could be factored at an expense of 10 elementary computer operations.
In 1983, Don Coppersmith discovered a faster algorithm for finding discrete logarithms in certain groups, which impacted the Diffie-Hellman key exchange scheme, requiring cryptographers to use larger or different types of groups.
By 1984, advances in factoring algorithms had reached a point where a 75-digit number could be factored in 10 operations.
In 1998, cryptographer Lars Knudsen classified various types of attacks on block ciphers according to the amount and quality of secret information that was discovered.
In 2005, numbers with several hundred digits were still considered too hard to factor, though methods would probably continue to improve, requiring key sizes to keep pace, or other methods such as elliptic curve cryptography to be used.
In 2010, former NSA technical director Brian Snow stated that both academic and government cryptographers are "moving very slowly forward in a mature field."
Cryptography is the science of secure communication in the presence...
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