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What (who) is RSA-based signature - definition

SET OF LARGE SEMIPRIMES

RSA number; RSA-130; RSA-140; RSA-155; RSA-160; RSA-576; RSA-129; RSA-150; RSA-100; RSA-110; RSA-120; RSA-640; RSA-704; RSA-768; RSA-896; RSA-1024; RSA-1536; RSA-2048; RSA-170; RSA-180; RSA-190; RSA-200; RSA-210; RSA-220; RSA-230; RSA-232; RSA-240; RSA-250; RSA-260; RSA-270; RSA-280; RSA-290; RSA-300; RSA-309; RSA-310; RSA-320; RSA-330; RSA-340; RSA-350; RSA-360; RSA-370; RSA-380; RSA-390; RSA-400; RSA-410; RSA-420; RSA-430; RSA-440; RSA-450; RSA-460; RSA-470; RSA-480; RSA-490; RSA-500; RSA-617; FAFNER; Rivest-Shamir-Adleman Number; Kazumaro Aoki

Metric signature

MATHEMATICAL CONCEPT

Signature change; Signature (physics); Euclidean signature; +---; -+++; Lorentz signature; Mostly Plus; Mostly Minus; Signature of the metric

In mathematics, the signature of a metric tensor g (or equivalently, a real quadratic form thought of as a real symmetric bilinear form on a finite-dimensional vector space) is the number (counted with multiplicity) of positive, negative and zero eigenvalues of the real symmetric matrix of the metric tensor with respect to a basis. In relativistic physics, the v represents the time or virtual dimension, and the p for the space and physical dimension.

https://en.wikipedia.org/wiki/Metric_signature

RSA Data Security, Inc.

AMERICAN COMPUTER AND NETWORK SECURITY COMPANY

RSA Data Security; RSA Laboratories; Rsa labs; RSA labs; PassMark Security; Rsa security; RSA Data Security, Inc.; RSADSI; RSA Data Security, Inc; RSA Data Security Inc; RSA Data Security Inc.; Rsadsi; RSA, The Security Division of EMC; Rsa Data Security Inc; Aveksa; Rsa Labs; RSA Labs; RSA (security firm); Cyota

<cryptography, company> (After Rivest, Shamir, Adleman - see RSA) A recognised world leader in cryptography, with millions of copies of its software encryption and authentication installed and in use worldwide. RSA's technologies are the global de facto standard for {public key cryptography} and digital signatures, and are part of existing and proposed standards for the Internet, ITU-T, ISO, ANSI, PKCS, IEEE and business and financial networks around the world. http://rsa.com/. (1994-12-08)

RSA encryption

ALGORITHM FOR PUBLIC-KEY CRYPTOGRAPHY

RSA cryptosystem; RSA encryption; Rivest-Shamir-Adleman; RSA algorithm; RSA Cryptosystem; Rsa encryption; RSA cipher; Branch prediction analysis attacks; Branch prediction analysis; Rivest Shamir Adleman; Rivest, Shamir, Adleman; Rsa Algorithm; Rivest-Shamir-Adleman Algorithm; Rsa algorithm; Rivest-Shamir-Adleman algorithm; RSA (algorithm); RSA public key cryptography; RSA (crypto); Rivest-Shamir-Adelson; Rivest-Shamir-Adelman; Rivest–Shamir–Adleman cryptosystem; Rivest–Shamir–Adleman; Rivest-Shamir-Adleman cryptosystem

<cryptography, algorithm> A public-key cryptosystem for both encryption and authentication, invented in 1977 by Ron Rivest, Adi Shamir, and Leonard Adleman. Its name comes from their initials. The RSA algorithm works as follows. Take two large {prime numbers}, p and q, and find their product n = pq; n is called the modulus. Choose a number, e, less than n and {relatively prime} to (p-1)(q-1), and find its reciprocal mod (p-1)(q-1), and call this d. Thus ed = 1 mod (p-1)(q-1); e and d are called the public and private exponents, respectively. The public key is the pair (n, e); the private key is d. The factors p and q must be kept secret, or destroyed. It is difficult (presumably) to obtain the private key d from the public key (n, e). If one could factor n into p and q, however, then one could obtain the private key d. Thus the entire security of RSA depends on the difficulty of factoring; an easy method for factoring products of large prime numbers would break RSA. RSA FAQ (http://rsa.com/rsalabs/faq/faq_home.html). (2004-07-14)

Wikipedia

RSA numbers

In mathematics, the RSA numbers are a set of large semiprimes (numbers with exactly two prime factors) that were part of the RSA Factoring Challenge. The challenge was to find the prime factors of each number. It was created by RSA Laboratories in March 1991 to encourage research into computational number theory and the practical difficulty of factoring large integers. The challenge was ended in 2007.

RSA Laboratories (which is an acronym of the creators of the technique; Rivest, Shamir and Adleman) published a number of semiprimes with 100 to 617 decimal digits. Cash prizes of varying size, up to US$200,000 (and prizes up to $20,000 awarded), were offered for factorization of some of them. The smallest RSA number was factored in a few days. Most of the numbers have still not been factored and many of them are expected to remain unfactored for many years to come. As of February 2020, the smallest 23 of the 54 listed numbers have been factored.

While the RSA challenge officially ended in 2007, people are still attempting to find the factorizations. According to RSA Laboratories, "Now that the industry has a considerably more advanced understanding of the cryptanalytic strength of common symmetric-key and public-key algorithms, these challenges are no longer active." Some of the smaller prizes had been awarded at the time. The remaining prizes were retracted.

The first RSA numbers generated, from RSA-100 to RSA-500, were labeled according to their number of decimal digits. Later, beginning with RSA-576, binary digits are counted instead. An exception to this is RSA-617, which was created before the change in the numbering scheme. The numbers are listed in increasing order below.

https://en.wikipedia.org/wiki/RSA numbers