In an asymmetric key algorithm ( e. g., RSA ), there are two separate keys: a public key is published and enables any sender to perform encryption, while a private key is kept secret by the receiver and enables only him to perform correct decryption.

Common families include symmetric systems ( e. g. AES ) and asymmetric systems ( e. g. RSA ); they may alternatively be grouped according to the central algorithm used ( e. g. elliptic curve cryptography ).

For example, the security available with a 1024-bit key using asymmetric RSA is considered approximately equal in security to an 80-bit key in a symmetric algorithm ( Source: RSA Security ).

As of 2002, an asymmetric key length of 1024 bits was generally considered the minimum necessary for the RSA encryption algorithm.

The Finite Field Diffie-Hellman algorithm has roughly the same key strength as RSA for the same key sizes.

Derivatives of Shor's algorithm are widely conjectured to be effective against all mainstream public-key algorithms including RSA, Diffie-Hellman and elliptic curve cryptography.

It is a key element of the RSA algorithm, a public-key encryption method widely used in electronic commerce.

The ease of primality testing is a crucial part of the RSA algorithm, as it is necessary to find large prime numbers to start with.

For instance, in the original version, the RSA algorithm was used to encrypt session keys ; RSA's security depends upon the one-way function nature of mathematical integer factoring.

After a report from RSA Data Security, Inc., who were in a licensing dispute with regard to use of the RSA algorithm in PGP, the Customs Service started a criminal investigation of Zimmermann, for allegedly violating the Arms Export Control Act.

The latter authors published their work in 1978, and the algorithm appropriately came to be known as RSA.

* RSA encryption algorithm ( PKCS # 1 )

In particular, most of the popular public key ciphers are based on the difficulty of factoring integers ( or the related discrete logarithm problem, which can also be solved by Shor's algorithm ), including forms of RSA.

RSA is an algorithm for public-key cryptography that is based on the presumed difficulty of factoring large integers, the factoring problem.

The patent would have expired on September 21, 2000 ( the term of patent was 17 years at the time ), but the algorithm was released to the public domain by RSA Security on 6 September 2000, two weeks earlier.

The RSA algorithm involves three steps: key generation, encryption and decryption.

The keys for the RSA algorithm are generated the following way:

RSA Security has never officially released the algorithm ; Rivest has, however, linked to the English Wikipedia article on RC4 in his own course notes.

* Details of the RSADSI ( RSA Data Security, Inc .) cryptographic algorithm software were revealed, probably deliberately, through publication of alleged RC4 source on Usenet.

In 1995 Adam Back wrote a version of the RSA algorithm for public-key cryptography in three lines of Perl and suggested people use it as an email signature file:

However, the CSS algorithm seems to require more characters to describe in a computer programming language than the RSA algorithm ; one of the shortest implementations of DeCSS ( called " efdtt ") is 434 bytes.

The factored number was of a special form ; the special number field sieve cannot be used on RSA keys.

The method was followed shortly afterwards by RSA, an implementation of public key cryptography using asymmetric algorithms.

RSADSI was challenging the continuation of the Viacrypt RSA license to the newly merged firm.

His discovery, however, was not revealed until 1998 due to its top-secret classification, and Rivest, Shamir, and Adleman devised RSA independently of Cocks ' work.

RC4 was designed by Ron Rivest of RSA Security in 1987.

It was the need to synchronize the scramblers that suggested to James H. Ellis the idea for non-secret encryption which ultimately led to the invention of both the RSA encryption algorithm and Diffie-Hellman key exchange well before either was reinvented publicly by Rivest, Shamir, and Adleman, or by Diffie and Hellman.

The first widely marketed software package to offer digital signature was Lotus Notes 1. 0, released in 1989, which used the RSA algorithm.

In 1826, the Scottish Academy was founded by a group of artists as an offshoot of the Royal Institution, and in 1838 it became the Royal Scottish Academy ( RSA ).

A key aim of the RSA was the founding of a national collection.

The building was originally divided along the middle, with the east half housing the exhibition galleries of the RSA, and the western half containing the new National Gallery, formed from the collection of the Royal Institution.

( RC3 was broken at RSA Security during development ; similarly, RC1 was never published.

The Aprilia RSA 125 also set the record for the most points earned by a manufacturer in a single season from the 125cc class with 410 points in 2007. It was also the highest points earned by a constructor in Grand Prix motorcycle racing's history until 2011 when 420 points were won by the same bikes winning 16 out of 17 races.

The RSA was granted a Royal Charter in 1847, i. e. the right to use the term Royal in its name by King Edward VII in 1908.

The Royal Academy of Arts was formed as the RSA's spin-off organisation in 1768 by Thomas Gainsborough and Sir Joshua Reynolds, two early members of the RSA, as a result of first exhibition of contemporary art.

In 1876, a predecessor of the Royal College of Music, the National Training School for Music, was founded by the RSA, and the Society was instrumental in the preservation of West Wycombe, purchasing the entire village and handing it over to the National Trust.

As president of the RSA, Prince Philip's first choice of speaker was Ian Plimer, professor of mineral geology at Adelaide University, but this was rejected as too controversial, as Plimer argues that the theory of Anthropogenic Global Warming is unproven.

RSA stands for Ron Rivest, Adi Shamir and Leonard Adleman, who first publicly described it in 1977.

* The RSA algorithm for public-key cryptography, based on the factoring problem, is first publicly described by Ron Rivest, Adi Shamir and Leonard Adleman.

In 1874, a book by William Stanley Jevons described the relationship of one-way functions to cryptography, and went on to discuss specifically the factorization problem used to create the trapdoor function in the RSA system.

To prevent attacks, one can first apply a cryptographic hash function to the message m and then apply the RSA algorithm described above to the result.

As described in RSA operation, the bank also generates public key exponent and private key exponent.

A variant of the proprietary token was proposed by RSA in 2006 and was described as " ubiquitous authentication ", in which RSA would partner with manufacturers to add physical SecurID chips to devices such as mobile phones.

As such, the task can be neatly described as finding the e < sup > th </ sup > roots of an arbitrary number, modulo N. For large RSA key sizes ( in excess of 1024 bits ), no efficient method for solving this problem is known ; if an efficient method is ever developed, it would threaten the current or eventual security of RSA-based cryptosystems — both for public-key encryption and digital signatures.