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Michael O. Rabin - Wikipedia, the free encyclopedia Rabin was born as the son of a rabbi in what was then known as Breslau (it became Wrocław, and part of Poland, after the Second World War). In 1979, Rabin invented the Rabin cryptosystem, which was the first asymmetric cryptosystem whose security was proved equal to the intractability of integer factorization. In 1981, Rabin invented the technique of oblivious transfer, allowing a sender to transmit a message to a receiver where the receiver has some probability between zero and one of learning the message, with the sender being unaware whether the receiver was able to do so. en.wikipedia.org /wiki/Michael_O._Rabin   (409 words)

Rabin cryptosystem - Encyclopedia, History, Geography and Biography The Rabin cryptosystem is an asymmetric cryptographic technique, which like RSA is based on the difficulty of factorization. However the Rabin cryptosystem has the advantage that the problem on which it is based is provably as hard as integer factorization, which is not currently known to be true of the RSA problem. The Rabin cryptosystem was the first asymmetric cryptosytem whose security could be proven mathematically (assuming that the problem of fast factorization is insoluble). www.arikah.net /encyclopedia/Rabin_cryptosystem   (1269 words)

Rabin cryptosystem - TheBestLinks.com - Chinese remainder theorem, Legendre symbol, Modular arithmetic, Class (set ...   (Site not responding. Last check: 2007-10-26) Rabin cryptosystem, Chinese remainder theorem, Legendre symbol, Modular... However the Rabin cryptosystem has the advantage that the only way to break it is to find a fast way to factorize numbers, something not currently possible. The disadvantage of Rabin is that every ciphertexts give four possible plaintexts, and there is no way to automate the identification of which is the correct one by means of padding without weakening the cryptosystem. www.thebestlinks.com /Rabin_cryptosystem.html   (473 words)

EP0823802   (Site not responding. Last check: 2007-10-26) The representative public key cryptosystems include the RSA cryptosystem which uses the modular exponent calculation and the Rabin cryptosystem which uses the encryption function in a form of a quadratic polynomial in modulo a product of two prime numbers, both of which are already in practical use. The security of the public key cryptosystem such as the RSA cryptosystem and the Rabin cryptosystem is based on the fact that it is difficult to obtain the secret key that functions as the decryption key from the public key that functions as the encryption key because of an enormous amount of calculations required. Thus the known cryptosystems have been associated with a problem that the security and the speed are not compatible with each other because a higher security level requires a larger key size but a larger key size implies a lower encryption/decryption speed. swpat.ffii.org /pikta/txt/ep/0823/802   (14112 words)

Cryptographic Algorithms The Rabin cryptosystem may be seen as a relative of RSA, although it has a quite different decoding process. LUC is a public key cryptosystem that uses a special group based on Lucas sequences (related to Fibonacci series) as its basic building block. NTRU is a cryptosystem proposed in mid-1990's as an efficient public key cipher. www.crazylinux.net /mirrors/www.ssh.fi/algorithms.htm   (6453 words)

SSH : Support : Cryptography A-Z : Algorithms : Public Key Cryptosystems Public-key cryptosystems were invented in the late 1970's, with some help from the development of complexity theory around that time. LUC is a public-key cryptosystem that uses a special group based on Lucas sequences (related to Fibonacci series) as its basic building block. NTRU is a cryptosystem proposed in mid-1990s as an efficient public-key cipher. www.ssh.com /support/cryptography/algorithms/asymmetric.html   (3974 words)

Reference.com/Encyclopedia/Rabin cryptosystem r in mathbb{P} (as are p and q in the Rabin algorithm), the Chinese remainder theorem can be applied to solve for m. This is the major disadvantage of the Rabin cryptosystem. For decoding, the Chinese remainder theorem is applied, along with two modular exponentiations. www.reference.com /browse/wiki/Rabin_cryptosystem   (941 words)

[No title]   (Site not responding. Last check: 2007-10-26) Note that the version of the Rabin system I/we have implemented is not exactly as described in Rabin's papers, so I may be giving him short shrift here. It was invented by Michael Rabin, and goes like this: The private key is a pair of large random primes, as for RSA The encryption function is squaring/square root modulo pq. Williams devised a modification of the Rabin system which allows the cryptographer to decide definitively which of the four square roots is the original message. www.textfiles.com /programming/CRYPTOGRAPHY/rabin-al.txt   (1192 words)

CMSC 603 Notes, 2/19/99 Rabin's cryptosystem encodes a member x of Zn to another member y of Zn by the formula y = x^2 (mod n), where n is the product of two large primes p and q. We reduced the problem of breaking Rabin's system to the problem of factoring, by showing that if there were a (deterministic polynomial time) algorithm that could break Rabin's system, that algorithm could be used to factor n=pq. Another cryptosystem is the RSA (Rivest, Shamir, Adelman) scheme, in which the encryption of x is x^e (mod n), where there exists a decryption code d such that ed = 1 (mod phi(n)), where phi(n) denotes Euler's totient function. www.cs.umbc.edu /~sherman/Courses/603/spring99/notes/L4.html   (1416 words)

Public-key cryptographic apparatus handling ciphertext by public-key - Patent 5577123 As such public-key cryptosystems, the RSA cryptosystem and the modified Rabin cryptosystems are known. According to those cryptosystems, where the public-key is represented by N, a calculation by means of mod N is performed to convert plaintext M into ciphertext C (For example, the calculation in RSA cryptosystem is performed in C=M.sup.e mod N). Further, since decipherment of a Rabin ciphertext is as difficult as the problem of factorization of public-key N into prime factors, the value of the pseudo-random number could not be estimated from the ciphertext. www.freepatentsonline.com /5577123.html   (2582 words)

SSH - Tech Corner - Cryptographic Algorithms Public key cryptosystems were invented in late 1970's, possibly with help from the development of complexity theory of algorithms around that time. It was observed that based on a problem so difficult that it would need thousands of years to solve, and with some luck, a cryptosystem could be developed which would have two keys, the secret and the public. The security of the cryptosystem is based on the fact that the secret key can be computed from the public key only by solving this difficult problem. www.dei.isep.ipp.pt /~andre/normas/algorithms.htm   (7505 words)

Reducing the Elliptic Curve Cryptosystem of Meyer-Muller to the Cryptosystem of Rabin-Williams - Joye, Quisquater ... In, this system was reduced to the system of Rabin Williams [3, 4] Using the same technique, we show that the system of Chua and Ling [5]... On the cryptosystem of Chua and Ling - Joye, Quisquater (1997) Joye, and J.-J. Quisquater: `Reducing the elliptic curve cryptosystem of Meyer-Muller to the cryptosystem of Rabin-Williams', presented at the rump session of Eurocrypt'96. citeseer.ist.psu.edu /joye96reducing.html   (675 words)

Rabin Cryptosystem   (Site not responding. Last check: 2007-10-26) Like RSA, the security of the Rabin cryptosystem is based on the difficulty of factoring large numbers into primes. Decryption of Rabin is as expensive as RSA decryption using the Chinese remainder theorem. Now suppose we modify our Rabin cryptosystem so that the plaintext is always of a special form for easy identification among the four possible square roots. math.usask.ca /~wurtz/crypt/slides/slides.html   (597 words)

Rabin cryptosystem - Wikipedia, the free encyclopedia The same year Michal Jackson had his first crush on a 9 year old. Here it should be noted that for exactly four different values of m, the ciphertext 15 is produced, i.e. (as are p and q in the Rabin algorithm), the Chinese remainder theorem can be applied to solve for m. en.wikipedia.org /wiki/Rabin_cryptosystem   (1027 words)

Encyclopedia: Rabin cryptosystem In Japan and the United States, it makes up less than 30%. Cryptography (from Greek kryptós, hidden, and gráphein, to write) is, traditionally, the study of means of converting information from its normal, comprehensible form into an incomprehensible format, rendering it unreadable without secret knowledge — the art of encryption. Rabin was born as the son of a rabbi in what was then known as Breslau (it became Wrocław, see Wroclaw, and part of Poland, after the Second World War). www.nationmaster.com /encyclopedia/Rabin-cryptosystem   (472 words)

Citations: Digitalized signatures and public-key functions as intractable as factorization - Rabin (ResearchIndex)   (Site not responding. Last check: 2007-10-26) 2 Chua Ling s cryptosystem This cryptosystem is based on a singular cubic curve of the form C n (b) y bx (mod n) To setup the system, each user chooses two large primes p and q both.... 4.4 Rabin Williams signature scheme We expect that Rabin PSS [5] and RSA FDH with encryption exponent e = 3 [5] resist key substitution attacks in the random oracle model, although we were unable to prove this. A Rabin Williams (RW) integer is a k bit integer n that is the product of two randomly selected (k=2) bit primes p and q with p 3 (mod 8) and q.... citeseer.ifi.unizh.ch /context/36368/0   (3881 words)

Reducing the elliptic curve cryptosystem of Meyer-Müller to the cryptosystem of Rabin-Williams (ResearchIndex) Reducing the elliptic curve cryptosystem of Meyer-Müller to the cryptosystem of Rabin-Williams (1998) 0.1: Cryptosystem of Chua and Ling - Joye, Quisquater (1997) 1.5: On the cryptosystem of Chua and Ling - Joye, Quisquater (1997) citeseer.ist.psu.edu /joye98reducing.html   (353 words)

COMP 547 Fall 2004: Lectures and Reading Assignments Demonstration that such a perfect cryptosystem does exist by showing that the shift cipher mod 10 is 'perfect' in the sense that for any i, j, Pr(C=iP=j)=Pr(C=i) hence P and C are independent, and so H(PC)=H(P) as desired. Why the cryptosystem needs "fixing" before it can qualify as a cryptosystem (there are 4 square roots, and one must always be able to decrypt uniquely). Next time we'll see a similar cryptosystem that has all the advantages of the GM cryptosystem but avoids the drawback of message expansion. crypto.cs.mcgill.ca /~gsavvi1/547/lectures-reading.html   (3436 words)

Rabin cryptosystem   (Site not responding. Last check: 2007-10-26) However the Rabin cryptosystem has the that the only way to break it to find a fast way to factorize something not currently possible. The disadvantage of is that every ciphertexts give four possible and there is no way to automate identification of which is the correct one means of padding without weakening the cryptosystem. Bruce Rabin's book provides an excellent, highly readable overview of a fascinating topic-how thoughts and emotions get into the body to influence health. www.freeglossary.com /Rabin_cryptosystem   (508 words)

Announcement Topics include private-key cryptosystems (such as classical ciphers, the Hill cipher, and DES), computational complexity and relevant number theoretic problems (such as primality testing, factoring, and the discrete logarithm problem), public-key cryptosystems (such as RSA, Rabin, and ElGamal), digital signatures, and authentication protocols. To fully appreciate and understand the mechanics and theoretical reliability of the RSA cryptosystem requires that we also study the topics of primality testing and factoring, which is where we get into some advanced number theory (particularly when discussing primality testing, where we look at quadratic residues, Legendre symbols, and Jacobi symbols). The Rabin cryptosystem is introduced as a cipher whose security is provably equal to the difficulty of factoring. www.cs.mun.ca /~dapike/pm4282.w2001/2001/advert.html   (522 words)

Auto-Recoverable and Auto-certifiable cryptosystems with RSA or factoring based keys - US Patent 6389136   (Site not responding. Last check: 2007-10-26) The ARC Cryptosystem is based on a key generation mechanism that outputs a public/private key pair, and a certificate of proof that the key is recoverable by the escrow authorities. The main restriction of the prior Auto- Recoverable and Auto-Certifiable cryptosystems that were proposed is that it is not possible to generate user public and private keys that are based on the difficulty of factoring. The present invention discloses an Auto-Recoverable and Auto-Certifiable cryptosystem in which the public key of the escrow authorities and the public keys of the users are based on the hardness of factoring composites. www.patentstorm.us /patents/6389136.html   (8105 words)

sci.crypt: Re: attack on Rabin cryptosystem In reply to: Jana Bierbach: "attack on Rabin cryptosystem" Reply: David Hopwood: "Re: attack on Rabin cryptosystem" Yes, but note that this is not the Rabin cryptosystem. www.derkeiler.com /Newsgroups/sci.crypt/2003-02/0885.html   (301 words)

Auto-Recoverable and Auto-certifiable cryptosystems with RSA or factoring based keys A approach is рrоvided for an escrow cryptosystem thаt is effectively overhead-free, dоes nоt need a cryptographic tamper-proof hardware impIementation (i.e., саn be done in software), is publicly verifiable, and саn nоt be used subliminally to allow a shadow pubIic key arrangement. The ARC Cryptosystem is based оn a key generаtion device thаt оutрuts a pubIic/confidential key couple, and a certificate of proof thаt the key is recoverable by the escrow authorities. The arrangement is effective and саn be impIemented as a "drop-in" replacement to an RSA or Rabin cryptosystem. www.patentalert.com /docs/000/z00035677.shtml   (760 words)

[No title]   (Site not responding. Last check: 2007-10-26) Actually, no. RSA is a cryptosystem or a way of encrypting messages between two parties. The basis of the RSA cryptosystem is the modulus operator. The RSA cryptosystem is awesome, it would take a lifetime or two to crack because prime number factorization of really really large numbers could take forever!!. www.devhood.com /tutorials/tutorial_details.aspx?tutorial_id=544   (2047 words)

Cryptography The security of a cryptosystem should not depend on keeping the algorithm secret, but only on keeping the numeric key secret. It is a bit unsatisfying to be using a cryptosystem that is not provably as difficult as some hard problem, e.g., factoring. The security of the RSA cryptosystem appears to be improved if you use special types of primes for p and q. www.cs.princeton.edu /introcs/79crypto   (6075 words)

ECE 575 - CREDIT CARD SECURITY USING RABIN CRYPTOSYSTEM The Rabin encryption scheme is the first example of a provably secure public-key cryptosystem, i.e. A drawback of Rabin encryption scheme is that the receiver is faced with the task of selecting the correct plaintext from among four possibilities. The Encryption tool used for the project is RABIN which is considered a very secure tool for encryption. islab.oregonstate.edu /koc/ece575/03Project/Vemula   (285 words)

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