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Cryptology (1990)  (Make Corrections)  
Ronald L. Rivest



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Abstract: Cryptology has advanced tremendously since 1976; this chapter provides a brief overview of the current state-of-the-art in the field. Several major themes predominate in the development. One such theme is the careful elaboration of the definition of security for a cryptosystem. A second theme has been the search for provably secure cryptosystems, based on plausible assumptions about the difficulty of specific number-theoretic problems or on the existence of certain kinds of functions (such as... (Update)

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BibTeX entry:   (Update)

@misc{ rivest-cryptology,
  author = "Ronald L. Rivest",
  title = "Cryptology",
  url = "citeseer.ist.psu.edu/article/rivest90cryptology.html" }
Citations (may not include all citations):
4212   Computers and Intractability: A Guide to the Theory of NPCom.. (context) - Garey, Johnson - 1979
1529   A method for obtaining digital signatures and public-key cry.. - Rivest, Shamir et al. - 1978  ACM   DBLP
645   How to share a secret (context) - Shamir - 1979  ACM   DBLP
635   New directions in cryptography - Diffie, Hellman - 1976  ACM
531   The knowledge complexity of interactive proofsystems (context) - Goldwasser, Micali et al. - 1989
501   A digital signature scheme secure against adaptive chosen-me.. - Goldwasser, Micali et al. - 1988  ACM   DBLP
450   Using encryption for authentication in large networks of com.. (context) - Needham, Schroeder - 1978  ACM   DBLP
419   How to construct random functions (context) - Goldreich, Goldwasser et al. - 1984  ACM   DBLP
411   How to prove yourself: practical solutions to identification.. - Fiat, Shamir - 1987  ACM   DBLP
339   Theory and application of trapdoor functions (context) - Yao - 1982
334   How to generate cryptographically strong sequences of pseudo.. (context) - Blum, Micali - 1984  ACM   DBLP
329   Untraceable electronic mail (context) - Chaum - 1981
287   Multi-party unconditionally secure protocols (context) - Chaum, Crepeau et al. - 1988
278   Probabilistic encryption (context) - Goldwasser, Micali - 1984  ACM   DBLP
244   Cryptography and Data Security (context) - Denning - 1982  ACM   DBLP
241   Communication theory of secrecy systems (context) - Shannon - 1949
239   Blind signatures for untraceable payments (context) - Chaum - 1983  DBLP
227   Factoring polynomials with rational coefficients (context) - Lenstra, Lenstra et al. - 1982
208   Universal one-way hash functions and their cryptographic app.. - Naor, Yung - 1989  ACM   DBLP
197   A randomized protocol for signing contracts (context) - Even, Goldreich et al. - 1983  ACM   DBLP
185   How to generate and exchange secrets (context) - Yao - 1986
174   How to exchange secrets by oblivious transfer (context) - Rabin - 1981
170   Shift Register Sequences (context) - Golomb - 1982  ACM
168   An improved algorithm for computing logarithms over GF (context) - Pohlig, Hellman - 1978
167   Protocols for secure computations (context) - Yao - 1982
149   A hard-core predicate for all one-way functions (context) - Goldreich, Levin - 1989  ACM   DBLP
145   Computational complexity of probabilistic Turing machines (context) - Gill - 1977  ACM   DBLP
133   A practical scheme for non-interactive verifiable secret sha.. (context) - Feldman - 1985  DBLP
128   A subexponential algorithm for the discrete logarithm proble.. (context) - Adleman - 1977
124   The Art of Computer Programming: Vol (context) - Knuth - 1969
120   Unbiased bits from sources of weak randomness and probabilis.. - Chor, Goldreich - 1988  ACM   DBLP
110   Proofs that yield nothing but their validity and a methodolo.. (context) - Goldreich, Micali et al. - 1986
109   Verifiable secret sharing and achieving simultaneity in the .. (context) - Chor, Goldwasser et al. - 1985
103   A simple unpredictable pseudo-random number generator (context) - Blum, Blum et al. - 1986  DBLP
100   Founding cryptography on oblivious transfer (context) - Kilian - 1988  DBLP
98   Private coins versus public coins in interactive proof syste.. (context) - Goldwasser, Sipser - 1986  ACM   DBLP
98   An Introduction to the Theory of Numbers (context) - Niven, Zuckerman - 1972
97   the security of public key protocols (context) - Dolev, Yao - 1981
94   Complexity measures for public-key cryptosystems (context) - Grollman, Selman - 1988  ACM   DBLP
78   Probabilistic algorithms for testing primality (context) - Rabin - 1980
78   New York (context) - Kahn, Macmillian - 1967
72   Constructing Digital Signatures from a One-Way Function (context) - Lamport - 1979
70   Hiding information and signatures in trapdoor knapsacks (context) - Merkle, Hellman - 1978
69   Factoring polynomials over large finite fields (context) - Berlekamp - 1970
68   Prime Numbers and Computer Methods for Factorization (context) - Riesel - 1985  ACM
68   One-way functions and pseudorandom generators (context) - Levin - 1985  ACM   DBLP
66   A fast Monte-Carlo test for primality (context) - Solovay, Strassen - 1977  DBLP
64   Secret sharing homomorphisms: keeping shares of a secret sha.. (context) - Benaloh - 1987  DBLP
63   An efficient probabilistic public-key encryption scheme whic.. (context) - Blum, Goldwasser - 1985  DBLP
62   RSA and Rabin functions: certain parts are as hard as the wh.. (context) - Alexi, Chor et al. - 1988  ACM   DBLP
60   Solving low-density subset sum problems (context) - Lagarias, Odlyzko - 1983  ACM   DBLP
55   The notion of security for probabilistic cryptosystems (context) - Micali, Rackoff et al. - 1988  ACM   DBLP
54   A robust and verifiable cryptographically secure election sc.. (context) - Cohen, Fischer - 1985
52   The wire-tap channel (context) - Wyner - 1975
51   On distinguishing prime numbers from composite numbers (context) - Adleman, Pomerance et al. - 1983
51   Exhaustive cryptanalysis of the NBS data encryption standard (context) - Diffie, Hellman - 1977
47   Discrete logarithms in finite fields and their cryptographic.. - Odlyzko - 1985  ACM   DBLP
45   Secure communications over insecure channels (context) - Merkle - 1978  ACM   DBLP
45   the generation of cryptographically strong pseudo-random seq.. (context) - Shamir - 1981  DBLP
43   Cryptography: A New Dimension in Computer Data Security (context) - Meyer, Matyas - 1982
41   Nontransitive transfer of confidence: a perfect zero-knowled.. - Brassard, Crepeau - 1986
41   Generating quasi-random sequences from slightly-random sourc.. (context) - Santha, Vazirani - 1984
40   Probabilistic algorithms in finite fields - Rabin - 1980  DBLP
40   Codes which detect deception (context) - Gilbert, MacWilliams et al. - 1974
39   Algorithms in number theory (context) - Lenstra, Lenstra - 1989  ACM   DBLP
38   A knapsack type public-key cryptosystem based on arithmetic .. - Chor, Rivest - 1988
38   Solving simultaneous modular equations of low degree (context) - Hastad - 1988  ACM   DBLP
38   Cryptography: A Primer (context) - Konheim - 1981
38   Almost all primes can be quickly certified (context) - Goldwasser, Kilian - 1986  ACM   DBLP
37   Analysis and comparison of some integer factoring algorithms (context) - Pomerance - 1982
37   the security of multi-party ping-pong protocols - Even, Goldreich - 1983
36   Recognizing primes in random polynomial time (context) - Adleman, Huang - 1987  ACM   DBLP
36   Cryptographic protocols - DeMillo, Lynch et al. - 1982  ACM   DBLP
34   the security of ping-pong protocols (context) - Dolev, Even et al. - 1983
34   Privacy and authentication: an introduction to cryptography (context) - Diffie, Hellman - 1979
33   A polynomial-time algorithm for breaking the basic Merkle-He.. (context) - Shamir - 1982
33   Quantum cryptography (context) - Bennett, Brassard et al. - 1983  ACM
32   Coin flipping by telephone (context) - Blum - 1982  DBLP
31   Digitalized signatures (context) - Rabin - 1978
31   How to sign given any trapdoor function (context) - Bellare, Micali - 1988  ACM   DBLP
29   Independent unbiased coin flips from a correlated biased sou.. (context) - Blum - 1984  DBLP
29   How to generate factored random numbers (context) - Bach - 1988  ACM   DBLP
26   Two remarks concerning the Goldwasser-Micali-Rivest signatur.. - Goldreich - 1986  ACM   DBLP
25   Probabilistic encryption and how to play mental poker keepin.. (context) - Goldwasser, Micali - 1982  DBLP
24   A cryptanalytic time-memory trade off (context) - Hellman - 1980
23   How to construct pseudorandom permutations and pseudorandom .. (context) - Luby, Rackoff - 1988
23   Efficient and secure pseudo-random number generation (context) - Vazirani, Vazirani - 1984  ACM   DBLP
22   Digitalized Signatures as Intractable as Factorization (context) - Rabin - 1979
22   Mental poker (context) - Shamir, Rivest et al. - 1981
22   Towards a strong communication complexity theory (context) - Vazirani - 1985
22   Demonstrating that a public predicate can be satisfied witho.. (context) - Chaum - 1987  ACM   DBLP
21   Reconstructing truncated integer variables satisfying linear.. (context) - Frieze, Hastad et al. - 1988  ACM   DBLP
21   A private interactive test of a boolean predicate and minimu.. (context) - Galil, Haber et al. - 1985
21   How to expose an eavesdropper (context) - Rivest, Shamir - 1984  ACM   DBLP
21   Why and how to establish a private code on a public network (context) - Goldwasser, Micali et al. - 1982
19   Provable Security of Cryptosystems: A Survey (context) - Angluin, Lichtenstein - 1983
19   A pipeline architecture for factoring large integers with th.. (context) - Pomerance, Smith et al. - 1988  ACM   DBLP
19   How to simultaneously exchange a secret bit by flipping a sy.. (context) - Luby, Micali et al. - 1983
19   On taking roots in finite fields (context) - Adleman, Manders et al. - 1977  DBLP
18   Limits on the security of coin flips when half the processor.. (context) - Cleve - 1986  ACM
17   Cipher Systems: The Protection of Communications (context) - Beker, Piper - 1982
16   Multiuser cryptographic techniques (context) - Diffie, Hellman - 1976
16   Breaking iterated knapsacks (context) - Brickell - 1985  ACM   DBLP
15   Polynomial factorization and non-randomness of bits of algeb.. (context) - Kannan, Lenstra et al. - 1984
14   Cryptanalytic attacks on the multiplicative knapsack scheme .. - Odlyzko - 1984
14   Strong signature schemes (context) - Goldwasser, Micali et al. - 1983  ACM   DBLP
14   A pseudo-random bit generator based on elliptic logarithms (context) - Kaliski - 1987  ACM   DBLP
14   Inferring a sequence generated by a linear congruence (context) - Plumstead - 1982  DBLP
14   A provably secure oblivious transfer protocol (context) - Berger, Peralta et al. - 1985  ACM   DBLP
13   How to exchange (context) - Blum - 1983
13   How to swindle Rabin (context) - Yuval - 1979
13   A user authentication scheme not requiring secrecy in the co.. (context) - Evans, Kantrowitz et al. - 1974  ACM   DBLP
12   Elliptic Curves and Cryptography: A Pseudorandom Bit Generat.. (context) - Kaliski - 1988
12   On breaking generalized knapsack public key cryptosystems (context) - Adleman - 1983  ACM
12   How to cheat at mental poker (context) - Lipton - 1981
12   Pseudo-random permutation generators and cryptographic compo.. (context) - Luby, Rackoff - 1986  ACM   DBLP
12   A Public-Key System Based on Algebraic Coding Theory (context) - McEliece - 1978
11   Foundations of Secure Computation (context) - DeMillo, Dobkin et al. - 1978  ACM
11   Fundamentals of Number Theory (context) - LeVeque - 1977
10   A fair protocol for signing contracts (context) - Ben-Or, Goldreich et al. - 1985
10   Completeness theorems for fault-tolerant distributed computi.. (context) - Ben-Or, Goldwasser et al. - 1988
9   Lecture notes on the complexity of some problems in number t.. (context) - Angluin - 1982
9   The efficient construction of an unbiased random sequence (context) - Elias - 1972
8   An extension of the Shannon theory approach to cryptography (context) - Hellman - 1977
8   Evaluating logarithms in GF (context) - Coppersmith - 1984
8   the power of cascade ciphers (context) - Even, Goldreich - 1985
7   The mathematics of public key cryptography (context) - Hellman - 1979
7   Relativized cryptography (context) - Brassard - 1979  ACM   DBLP
6   keyless cryptography (context) - Alpern, Schneider et al. - 1983
6   Cheating at mental poker (context) - Coppersmith - 1987  ACM   DBLP
5   the cryptographic security of single RSA bits (context) - Ben-Or, Chor et al. - 1983
5   An analog scrambling scheme which does not expand bandwidth (context) - Wyner - 1979
5   An analog scrambling scheme which does not expand bandwidth (context) - Wyner - 1979
4   space tradeoff for certain NP-complete problems (context) - Schroeppel, Shamir et al. - 1979
4   Announcing the Data Encryption Standard (context) - of - 1977
4   and Public Key Systems (context) - Merkle, Authentication - 1979
4   Trapdoor pseudo-random number generators (context) - Vazirani, Vazirani - 1983
3   results of more cycling experiments on DES (context) - Kaliski, Rivest et al. - 1986
3   The discrete logarithm problem hides O (context) - Long, Wigderson - 1988
3   Cryptanalysis: A Study of Ciphers and Their Solutions (context) - Gaines - 1956
3   The American Mathematical Monthly (context) - Dixon, primality - 1984
2   Spread Spectrum Communications (context) - Gerhardt, Dixon - 1977
2   Intercept: The Enigma War (context) - Garli'nski - 1979
2   Tutorial: The Security of Data in Networks (context) - Davies - 1981
2   Various techniques for use in connection with random digits (context) - von Neumann - 1963
2   Dicrete logarithms in GF (context) - Coppersmith, Odlyzko et al. - 1986
2   The Ultra Secret (context) - Winterbotham - 1975
2   America's Most Secret Agency (context) - Bamford, Palace et al. - 1982
2   Published as National Physical Laboratories technical report.. (context) - Price, of - 1978
2   An Annotated Bibliography of Cryptography (context) - Bell, Olding - 1978
2   Data privacy: what Washington doesn't want you to know (context) - Sanders - 1981
2   An efficient algorithm for constructing a cryptosystem which.. (context) - Asmuth, Blakley - 1981
2   An introduction to cryptography (context) - Diffie, Hellman - 1984  ACM
2   Cryptography: Proceedings of the Workshop on Cryptography (context) - Goos, Hartmanis - 1983
2   average' instance (context) - Levin, complete - 1984
2   Cryptology in transition: a survey (context) - Lempel - 1979
1   Symmetric and asymmetric encryption (context) - Simmons - 1979  ACM   DBLP
1   Published as MIT Laboratory for Computer Science Technical R.. (context) - Sherman, VLSI et al. - 1986
1   D'epartment d'informatique et de recherche op'erationelle (context) - Brassard, Modern et al. - 1987
1   the cryptocomplexity of knapsack schemes (context) - Shamir - 1979
1   Error-correcting codes and cryptography (context) - Sloane - 1981
1   Volume 69 of Selected Symposia (context) - Simmons, Communications et al. - 1982

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