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Most cited papers in Cryptography and Residue Arithmetic

Cryptography and Residue Arithmetic

What are the most cited papers in Cryptography and Residue Arithmetic?

The most cited paper in Cryptography and Residue Arithmetic is "How to share a secret" (Adi Shamir, 1979), with 13,673 citations. Next come "A public key cryptosystem and a signature scheme based on discrete logarithms" (8,095) and "Identity-Based Encryption from the Weil Pairing" (7,095).

Showing 50 of 97 papers. Every paper with more than 438 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 How to share a secret Adi Shamir · Communications of the ACM Open access Nov 1979 13,673
2 A public key cryptosystem and a signature scheme based on discrete logarithms Taher ElGamal · IEEE Transactions on Information Theory Jul 1985 8,095
3 Identity-Based Encryption from the Weil Pairing Dan Boneh, Matthew K. Franklin · Lecture notes in computer science Conference paper 2001 7,095
4 Timing Attacks on Implementations of Diffie-Hellman, RSA, DSS, and Other Systems Paul C. Kocher · Lecture notes in computer science Conference paper 1996 4,361
5 Use of Elliptic Curves in Cryptography Victor S. Miller · Lecture notes in computer science Conference paperOpen access 28 Feb 2007 3,968
6 How To Prove Yourself: Practical Solutions to Identification and Signature Problems Amos Fiat, Adi Shamir · Lecture notes in computer science Conference paper 5 Apr 2007 3,943
7 Short Signatures from the Weil Pairing Dan Boneh, Ben Lynn, Hovav Shacham · Lecture notes in computer science Conference paperOpen access 2001 3,006
8 Homomorphic Encryption for Arithmetic of Approximate Numbers Jung Hee Cheon, Andrey Kim, Miran Kim et al. · Lecture notes in computer science Conference paper 2017 2,376
9 The Elliptic Curve Digital Signature Algorithm (ECDSA) Don B. Johnson, Alfred Menezes, Scott A. Vanstone · International Journal of Information Security Aug 2001 2,252
10 Certificateless Public Key Cryptography Sattam S. Al-Riyami, Kenneth G. Paterson · Lecture notes in computer science Conference paper 2003 2,226
11 Short Group Signatures Dan Boneh, Xavier Boyen, Hovav Shacham · Lecture notes in computer science Conference paper 2004 2,109
12 Efficient Identity-Based Encryption Without Random Oracles Brent R. Waters · Lecture notes in computer science Conference paper 2005 2,036
13 Aggregate and Verifiably Encrypted Signatures from Bilinear Maps Dan Boneh, Craig Gentry, Ben Lynn et al. · Lecture notes in computer science Conference paper 2003 1,827
14 Efficient Selective-ID Secure Identity-Based Encryption Without Random Oracles Dan Boneh, Xavier Boyen · Lecture notes in computer science Conference paper 2004 1,784
15 A Certified Digital Signature Ralph C. Merkle · Lecture notes in computer science Conference paper 8 Nov 2007 1,708
16 Short Signatures Without Random Oracles Dan Boneh, Xavier Boyen · Lecture notes in computer science Conference paper 2004 1,464
17 (Leveled) Fully Homomorphic Encryption without Bootstrapping Zvika Brakerski, Craig Gentry, Vinod Vaikuntanathan · ACM Transactions on Computation Theory Jul 2014 1,456
18 Multiparty Computation from Somewhat Homomorphic Encryption Ivan Damgård, Valerio Pastro, Nigel Paul Smart et al. · Lecture notes in computer science Conference paperOpen access 2012 1,334
19 Lower Bounds for Discrete Logarithms and Related Problems Victor Shoup · Lecture notes in computer science Conference paperOpen access 1997 1,231
20 An improved algorithm for computing logarithms overGF(p)and its cryptographic significance (Corresp.) S.C. Pohlig, Martin E. Hellman · IEEE Transactions on Information Theory 1978 1,193
21 A new efficient algorithm for computing Gröbner bases (F4) Jean‐Charles Faugère · Journal of Pure and Applied Algebra Open access Jun 1999 1,143
22 An Identity Based Encryption Scheme Based on Quadratic Residues Clifford Cocks · Lecture notes in computer science Conference paper 2001 1,110
23 Hierarchical ID-Based Cryptography Craig Gentry, Alice Silverberg · Lecture notes in computer science Conference paperOpen access 2002 1,107
24 Public-key cryptosystems provably secure against chosen ciphertext attacks Moni Naor, Moti M. Yung Conference paperOpen access 1990 1,100
25 CRYSTALS - Kyber: A CCA-Secure Module-Lattice-Based KEM Joppe W. Bos, Léo Ducas, Eike Kiltz et al. Conference paperOpen access Apr 2018 1,096
26 Efficient Algorithms for Pairing-Based Cryptosystems Paulo S. L. M. Barreto, Hae Yong Kim, Ben Lynn et al. · Lecture notes in computer science Conference paperOpen access 2002 1,077
27 Cryptographic Cloud Storage Seny Kamara, Kristin Lauter · Lecture notes in computer science Conference paper 2010 1,075
28 Reducing elliptic curve logarithms to logarithms in a finite field Alfred Menezes, Takuya Okamoto, Scott A. Vanstone · IEEE Transactions on Information Theory 1993 1,033
29 Improved decoding of Reed-Solomon and algebraic-geometry codes Venkatesan Guruswami, Madhu Sudan · IEEE Transactions on Information Theory 1999 1,021
30 Threshold Signatures, Multisignatures and Blind Signatures Based on the Gap-Diffie-Hellman-Group Signature Scheme Alexandra Boldyreva · Lecture notes in computer science Conference paper 18 Dec 2002 1,005
31 Efficient Lattice (H)IBE in the Standard Model Shweta Agrawal, Dan Boneh, Xavier Boyen · Lecture notes in computer science Conference paperOpen access 2010 983
32 Cuba—a library for multidimensional numerical integration Thomas H. Hahn · Computer Physics Communications Open access 19 Apr 2005 981
33 Resistance Against Differential Power Analysis For Elliptic Curve Cryptosystems Jean-Sébastien Coron · Lecture notes in computer science Conference paper 1999 965
34 The Exact Security of Digital Signatures-How to Sign with RSA and Rabin Mihir Bellare, Phillip Rogaway · Lecture notes in computer science Conference paperOpen access 1996 951
35 Vector Bundles Over an Elliptic Curve Michael Francis Atiyah · Proceedings of the London Mathematical Society 1957 948
36 An Identity-Based Signature from Gap Diffie-Hellman Groups Jae Choon Cha, Jung Hee Cheon · Lecture notes in computer science Conference paper 18 Dec 2002 925
37 Non-interactive zero-knowledge and its applications Manuel Blum, Paul Feldman, Silvio Micali Conference paperOpen access 1988 890
38 Pairing-Friendly Elliptic Curves of Prime Order Paulo S. L. M. Barreto, Michael Naehrig · Lecture notes in computer science Conference paper 2006 885
39 Practical Threshold Signatures Victor Shoup · Lecture notes in computer science Conference paper 2000 879
40 Efficient Identity Based Signature Schemes Based on Pairings Florian Heß · Lecture notes in computer science Conference paper 2003 848
41 Public-key cryptosystems from the worst-case shortest vector problem Chris Peikert Conference paper 31 May 2009 817
42 Pairings for cryptographers Steven D. Galbraith⋆, Kenneth G. Paterson, Nigel Paul Smart · Discrete Applied Mathematics Open access 6 Mar 2008 801
43 Selecting Cryptographic Key Sizes Arjen K. Lenstra, Eric R. Verheul · Journal of Cryptology Open access 14 Aug 2001 789
44 A new efficient algorithm for computing Gröbner bases without reduction to zero ( F 5 ) Jean Charles Faugère Conference paper 10 Jul 2002 781
45 Small Solutions to Polynomial Equations, and Low Exponent RSA Vulnerabilities Don Coppersmith · Journal of Cryptology Open access Sep 1997 775
46 THE ADVANCED ENCRYPTION STANDARD William Stallings · Cryptologia Jul 2002 775
47 A public-key infrastructure for key distribution in TinyOS based on elliptic curve cryptography David J. Malan, Matt Welsh, Matthew Smith Conference paperOpen access 6 Apr 2005 713
48 How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits Craig Gidney, Martin Ekerå · Quantum Open access 15 Apr 2021 709
49 jPBC: Java pairing based cryptography Angelo De, Vincenzo Iovino Conference paper Jun 2011 708
50 CRYSTALS-Dilithium: A Lattice-Based Digital Signature Scheme Léo Ducas, Eike Kiltz, Tancrède Lepoint et al. · IACR Transactions on Cryptographic Hardware and Embedded Systems Open access 14 Feb 2018 693

Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.