40-bit encryption

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40-bit encryption refers to a (now broken) key size of forty bits, or five bytes, for symmetric encryption; this represents a relatively low level of security. A forty bit length corresponds to a total of 240 possible keys. Although this is a large number in human terms (about a trillion), it is possible to break this degree of encryption using a moderate amount of computing power in a brute-force attack, i.e., trying out each possible key in turn.


A typical home computer in 2004 could brute-force a 40-bit key in a little under two weeks, testing a million keys per second; modern computers are able to achieve this much faster. Using free time on a large corporate network or a botnet would reduce the time in proportion to the number of computers available.[1] With dedicated hardware, a 40-bit key can be broken in seconds. The Electronic Frontier Foundation's Deep Crack, built by a group of enthusiasts for US$250,000 in 1998, could break a 56-bit Data Encryption Standard (DES) key in days,[2] and would be able to break 40-bit DES encryption in about two seconds.[3]

40-bit encryption was common in software released before 1999, especially those based on the RC2 and RC4 algorithms which had special "7-day" export review policies,[citation needed] when algorithms with larger key lengths could not legally be exported from the United States without a case-by-case license. "In the early 1990s ... As a general policy, the State Department allowed exports of commercial encryption with 40-bit keys, although some software with DES could be exported to U.S.-controlled subsidiaries and financial institutions."[4][5] As a result, the "international" versions of web browsers were designed to have an effective key size of 40 bits when using Secure Sockets Layer to protect e-commerce. Similar limitations were imposed on other software packages, including early versions of Wired Equivalent Privacy. In 1992, IBM designed the CDMF algorithm to reduce the strength of 56-bit DES against brute force attack to 40 bits, in order to create exportable DES implementations.


All 40-bit and 56-bit encryption algorithms are obsolete, because they are vulnerable to brute force attacks, and therefore cannot be regarded as secure.[6][7] As a result, virtually all Web browsers now use 128-bit keys, which are considered strong. Most Web servers will not communicate with a client unless it has 128-bit encryption capability installed on it.

Public/private key pairs used in asymmetric encryption (public key cryptography), at least those based on prime factorization, must be much longer in order to be secure; see key size for more details.

As a general rule, modern symmetric encryption algorithms such as AES use key lengths of 128, 192 and 256 bits.

See also[edit]


  1. ^ Schneier 1996, p. 154.
  2. ^ EFF-1998.
  3. ^ Schneier 1996, p. 153.
  4. ^ Grimmett 2001.
  5. ^ Schneier 1996, p. 615.
  6. ^ University of California at Berkeley Public Information Office (January 29, 1997). "The only legally exportable cryptography level is totally insecure; UC Berkeley grad student breaks challenge cipher in hours". The Regents of the University of California. Retrieved December 14, 2015. This is the final proof of what we've known for years: 40-bit encryption technology is obsolete.
  7. ^ Fitzmaurice, Ellen; Tamaki, Kevin (June 1, 1997). "Decoding the Encryption Debate: U.S. export restrictions and 'key recovery' policies are ineffectual as well as burdensome to business". Los Angeles Times. Retrieved December 14, 2015. But recent advances in computing technology have rendered 40-bit encryption dangerously weak and export limits commercially obsolete.