Elliptic-curve cryptography (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Elliptic-curve cryptography" in English language version.

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15web.archive.org

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12doi.org

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6yp.to

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4nist.gov

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3semanticscholar.org

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3nsa.gov

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2hp.com

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2psu.edu

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2nytimes.com

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1jstor.org

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1ghostarchive.org

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1wired.com

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1slashdot.org

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1cryptome.org

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1harvard.edu

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1certicom.com

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1schneier.com

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1arxiv.org

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arxiv.org (Global: 69^th place; English: 59^th place)

Roetteler, Martin; Naehrig, Michael; Svore, Krysta M.; Lauter, Kristin (2017). "Quantum resource estimates for computing elliptic curve discrete logarithms". arXiv:1706.06752 [quant-ph].

austms.org.au (Global: low place; English: low place)

anziamj.austms.org.au

Hitchcock, Y.; Dawson, E.; Clark, A.; Montague, P. (2002). "Implementing an efficient elliptic curve cryptosystem over GF(p) on a smart card" (PDF). ANZIAM Journal. 44. Archived from the original (PDF) on 2006-03-27.

certicom.com (Global: low place; English: low place)

"Certicom Announces Elliptic Curve Cryptography Challenge Winner". Certicom. April 27, 2004. Archived from the original on 2011-07-19.

cryptome.org (Global: low place; English: low place)

Commercial National Security Algorithm Suite and Quantum Computing FAQ U.S. National Security Agency, January 2016.

doi.org (Global: 2^nd place; English: 2^nd place)

Koblitz, N. (1987). "Elliptic curve cryptosystems". Mathematics of Computation. 48 (177): 203–209. doi:10.2307/2007884. JSTOR 2007884.
Miller, V. (1986). "Use of Elliptic Curves in Cryptography". Advances in Cryptology — CRYPTO '85 Proceedings. Lecture Notes in Computer Science. Vol. 85. pp. 417–426. doi:10.1007/3-540-39799-X_31. ISBN 978-3-540-16463-0. S2CID 206617984.
"Digital Signature Standard (DSS)". National Institute of Standards and Technology. 2013-07-19. doi:10.6028/NIST.FIPS.186-4.
Lay, Georg-Johann; Zimmer, Horst G. (1994). "Constructing elliptic curves with given group order over large finite fields". Algorithmic Number Theory. Lecture Notes in Computer Science. Vol. 877. pp. 250–263. doi:10.1007/3-540-58691-1_64. ISBN 978-3-540-58691-3.
Galbraith, S. D.; Smart, N. P. (1999). "A Cryptographic Application of Weil Descent". A cryptographic application of the Weil descent. Lecture Notes in Computer Science. Vol. 1746. p. 799. doi:10.1007/3-540-46665-7_23. ISBN 978-3-540-66887-9. S2CID 15134380.
Menezes, A.; Okamoto, T.; Vanstone, S. A. (1993). "Reducing elliptic curve logarithms to logarithms in a finite field". IEEE Transactions on Information Theory. 39 (5): 1639–1646. doi:10.1109/18.259647.
Semaev, I. (1998). "Evaluation of discrete logarithm in a group of p-torsion points of an elliptic curve in characteristic p". Mathematics of Computation. 67 (221): 353–356. Bibcode:1998MaCom..67..353S. doi:10.1090/S0025-5718-98-00887-4.
Smart, N. (1999). "The discrete logarithm problem on elliptic curves of trace one". Journal of Cryptology. 12 (3): 193–196. CiteSeerX 10.1.1.17.1880. doi:10.1007/s001459900052. S2CID 24368962. Archived from the original on 2017-09-21. Retrieved 2017-10-28.
Cohen, H.; Miyaji, A.; Ono, T. (1998). "Efficient Elliptic Curve Exponentiation Using Mixed Coordinates". Advances in Cryptology — ASIACRYPT'98. Lecture Notes in Computer Science. Vol. 1514. pp. 51–65. doi:10.1007/3-540-49649-1_6. ISBN 978-3-540-65109-3.
Brown, M.; Hankerson, D.; Lopez, J.; Menezes, A. (2001). "Software Implementation of the NIST Elliptic Curves over Prime Fields". Topics in Cryptology — CT-RSA 2001. Lecture Notes in Computer Science. Vol. 2020. pp. 250–265. CiteSeerX 10.1.1.25.8619. doi:10.1007/3-540-45353-9_19. ISBN 978-3-540-41898-6.
See, for example, Biehl, Ingrid; Meyer, Bernd; Müller, Volker (2000). "Differential Fault Attacks on Elliptic Curve Cryptosystems". Advances in Cryptology — CRYPTO 2000 (PDF). Lecture Notes in Computer Science. Vol. 1880. pp. 131–146. doi:10.1007/3-540-44598-6_8. ISBN 978-3-540-67907-3.
Banegas, Gustavo; Bernstein, Daniel J.; van Hoof, Iggy; Lange, Tanja (2021). "Concrete quantum cryptanalysis of binary elliptic curves". IACR Transactions on Cryptographic Hardware and Embedded Systems. 2021 (1): 451–472. doi:10.46586/TCHES.V2021.I1.451-472.

ecc-brainpool.org (Global: low place; English: low place)

"Archived copy" (PDF). Archived from the original (PDF) on 2018-04-17. Retrieved 2012-04-12.{{cite web}}: CS1 maint: archived copy as title (link)

ecc-challenge.info (Global: low place; English: low place)

"Breaking ECC2K-130". www.ecc-challenge.info.

emc.com (Global: low place; English: low place)

RSA Laboratories. "6.3.4 Are elliptic curve cryptosystems patented?". Archived from the original on 2016-11-01.

epfl.ch (Global: 4,521^st place; English: 4,877^th place)

lacal.epfl.ch

"112-bit prime ECDLP solved – LACAL". lacal.epfl.ch. Archived from the original on 2009-07-15. Retrieved 2009-07-11.

f5.com (Global: low place; English: low place)

Holmes, David (September 7, 2021). "RSA in a "Pre-Post-Quantum" Computing World". f5. Archived from the original on 2020-08-08. Retrieved March 16, 2021.

ghostarchive.org (Global: 32^nd place; English: 21^st place)

Perlroth, Nicole; Larson, Jeff; Shane, Scott (2013-09-05). "N.S.A. Able to Foil Basic Safeguards of Privacy on Web". New York Times. Archived from the original on 2022-01-01. Retrieved 28 October 2018.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Semaev, I. (1998). "Evaluation of discrete logarithm in a group of p-torsion points of an elliptic curve in characteristic p". Mathematics of Computation. 67 (221): 353–356. Bibcode:1998MaCom..67..353S. doi:10.1090/S0025-5718-98-00887-4.

hp.com (Global: 3,975^th place; English: 2,687^th place)

hpl.hp.com

Gaudry, P.; Hess, F.; Smart, N. P. (2000). "Constructive and destructive facets of Weil descent on elliptic curves" (PDF). Hewlett Packard Laboratories Technical Report. Archived from the original (PDF) on 2006-12-06. Retrieved 2006-01-02.
Smart, N. (1999). "The discrete logarithm problem on elliptic curves of trace one". Journal of Cryptology. 12 (3): 193–196. CiteSeerX 10.1.1.17.1880. doi:10.1007/s001459900052. S2CID 24368962. Archived from the original on 2017-09-21. Retrieved 2017-10-28.

iacr.org (Global: 5,032^nd place; English: 3,357^th place)

eprint.iacr.org

Hitt, L. (2006). "On an Improved Definition of Embedding Degree". IACR ePrint Report. 415.
Hedabou, M.; Pinel, P.; Beneteau, L. (2004). A comb method to render ECC resistant against Side Channel Attacks (PDF) (Report). IACR Cryptology ePrint Archive.
De Feo, Luca; Jao, Plut (2011). "Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies". Cryptology ePrint Archive, Report 2011/506. IACR. Archived from the original on 2014-05-03. Retrieved 3 May 2014.
Robert, Damien (2022). "Breaking SIDH in polynomial time". Cryptology ePrint Archive.

iacr.org

See, for example, Biehl, Ingrid; Meyer, Bernd; Müller, Volker (2000). "Differential Fault Attacks on Elliptic Curve Cryptosystems". Advances in Cryptology — CRYPTO 2000 (PDF). Lecture Notes in Computer Science. Vol. 1880. pp. 131–146. doi:10.1007/3-540-44598-6_8. ISBN 978-3-540-67907-3.

ieee.org (Global: 652^nd place; English: 515^th place)

grouper.ieee.org

IEEE P1363 Archived 2007-02-13 at the Wayback Machine, section A.12.1

jstor.org (Global: 26^th place; English: 20^th place)

Koblitz, N. (1987). "Elliptic curve cryptosystems". Mathematics of Computation. 48 (177): 203–209. doi:10.2307/2007884. JSTOR 2007884.

nist.gov (Global: 355^th place; English: 454^th place)

csrc.nist.gov

"Digital Signature Standard (DSS)". National Institute of Standards and Technology. 2013-07-19. doi:10.6028/NIST.FIPS.186-4.
FIPS PUB 186-3, Digital Signature Standard (DSS).
"Search – CSRC". csrc.nist.gov.
NIST, Recommendation for Key Management—Part 1: general, Special Publication 800-57, August 2005.

nsa.gov (Global: 7,043^rd place; English: 4,687^th place)

nsa.gov

"The Case for Elliptic Curve Cryptography". NSA. Archived from the original on 2009-01-17.
"Fact Sheet NSA Suite B Cryptography". U.S. National Security Agency. Archived from the original on 2009-02-07.

apps.nsa.gov

"Commercial National Security Algorithm Suite". www.nsa.gov. 19 August 2015. Archived from the original on 2019-06-04. Retrieved 2020-01-08.

nytimes.com (Global: 7^th place; English: 7^th place)

nytimes.com

Perlroth, Nicole; Larson, Jeff; Shane, Scott (2013-09-05). "N.S.A. Able to Foil Basic Safeguards of Privacy on Web". New York Times. Archived from the original on 2022-01-01. Retrieved 28 October 2018.

bits.blogs.nytimes.com

"Government Announces Steps to Restore Confidence on Encryption Standards". NY Times – Bits Blog. 2013-09-10. Retrieved 2015-11-06.

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Smart, N. (1999). "The discrete logarithm problem on elliptic curves of trace one". Journal of Cryptology. 12 (3): 193–196. CiteSeerX 10.1.1.17.1880. doi:10.1007/s001459900052. S2CID 24368962. Archived from the original on 2017-09-21. Retrieved 2017-10-28.
Brown, M.; Hankerson, D.; Lopez, J.; Menezes, A. (2001). "Software Implementation of the NIST Elliptic Curves over Prime Fields". Topics in Cryptology — CT-RSA 2001. Lecture Notes in Computer Science. Vol. 2020. pp. 250–265. CiteSeerX 10.1.1.25.8619. doi:10.1007/3-540-45353-9_19. ISBN 978-3-540-41898-6.

schneier.com (Global: 8,888^th place; English: 6,276^th place)

"Did NSA Put a Secret Backdoor in New Encryption Standard?". www.schneier.com.

secg.org (Global: low place; English: low place)

"GEC 2: Test Vectors for SEC 1" (PDF). www.secg.org. Archived from the original (PDF download) on 2013-06-06.

seclists.org (Global: low place; English: low place)

Cohen, Cfir (25 June 2019). "AMD-SEV: Platform DH key recovery via invalid curve attack (CVE-2019-9836)". Seclist Org. Archived from the original on 2 July 2019. Retrieved 4 July 2019. The SEV elliptic-curve (ECC) implementation was found to be vulnerable to an invalid curve attack. At launch-start command, an attacker can send small order ECC points not on the official NIST curves, and force the SEV firmware to multiply a small order point by the firmware's private DH scalar.

secunet.com (Global: low place; English: low place)

"Elliptic Curve Cryptography "Made in Germany"" (Press release). 2014-06-25.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Miller, V. (1986). "Use of Elliptic Curves in Cryptography". Advances in Cryptology — CRYPTO '85 Proceedings. Lecture Notes in Computer Science. Vol. 85. pp. 417–426. doi:10.1007/3-540-39799-X_31. ISBN 978-3-540-16463-0. S2CID 206617984.
Galbraith, S. D.; Smart, N. P. (1999). "A Cryptographic Application of Weil Descent". A cryptographic application of the Weil descent. Lecture Notes in Computer Science. Vol. 1746. p. 799. doi:10.1007/3-540-46665-7_23. ISBN 978-3-540-66887-9. S2CID 15134380.
Smart, N. (1999). "The discrete logarithm problem on elliptic curves of trace one". Journal of Cryptology. 12 (3): 193–196. CiteSeerX 10.1.1.17.1880. doi:10.1007/s001459900052. S2CID 24368962. Archived from the original on 2017-09-21. Retrieved 2017-10-28.

slashdot.org (Global: 5,701^st place; English: 4,384^th place)

it.slashdot.org

Bruce Schneier (5 September) "I no longer trust the constants. I believe the NSA has manipulated them through their relationships with industry." See Are the NIST Standard Elliptic Curves Back-doored?, Slashdot, 11 September 2013.

web.archive.org (Global: 1^st place; English: 1^st place)

"The Case for Elliptic Curve Cryptography". NSA. Archived from the original on 2009-01-17.
"Fact Sheet NSA Suite B Cryptography". U.S. National Security Agency. Archived from the original on 2009-02-07.
"Commercial National Security Algorithm Suite". www.nsa.gov. 19 August 2015. Archived from the original on 2019-06-04. Retrieved 2020-01-08.
RSA Laboratories. "6.3.4 Are elliptic curve cryptosystems patented?". Archived from the original on 2016-11-01.
"Archived copy" (PDF). Archived from the original (PDF) on 2018-04-17. Retrieved 2012-04-12.{{cite web}}: CS1 maint: archived copy as title (link)
"GEC 2: Test Vectors for SEC 1" (PDF). www.secg.org. Archived from the original (PDF download) on 2013-06-06.
Gaudry, P.; Hess, F.; Smart, N. P. (2000). "Constructive and destructive facets of Weil descent on elliptic curves" (PDF). Hewlett Packard Laboratories Technical Report. Archived from the original (PDF) on 2006-12-06. Retrieved 2006-01-02.
IEEE P1363 Archived 2007-02-13 at the Wayback Machine, section A.12.1
Smart, N. (1999). "The discrete logarithm problem on elliptic curves of trace one". Journal of Cryptology. 12 (3): 193–196. CiteSeerX 10.1.1.17.1880. doi:10.1007/s001459900052. S2CID 24368962. Archived from the original on 2017-09-21. Retrieved 2017-10-28.
"112-bit prime ECDLP solved – LACAL". lacal.epfl.ch. Archived from the original on 2009-07-15. Retrieved 2009-07-11.
"Certicom Announces Elliptic Curve Cryptography Challenge Winner". Certicom. April 27, 2004. Archived from the original on 2011-07-19.
Hitchcock, Y.; Dawson, E.; Clark, A.; Montague, P. (2002). "Implementing an efficient elliptic curve cryptosystem over GF(p) on a smart card" (PDF). ANZIAM Journal. 44. Archived from the original (PDF) on 2006-03-27.
Holmes, David (September 7, 2021). "RSA in a "Pre-Post-Quantum" Computing World". f5. Archived from the original on 2020-08-08. Retrieved March 16, 2021.
De Feo, Luca; Jao, Plut (2011). "Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies". Cryptology ePrint Archive, Report 2011/506. IACR. Archived from the original on 2014-05-03. Retrieved 3 May 2014.
Cohen, Cfir (25 June 2019). "AMD-SEV: Platform DH key recovery via invalid curve attack (CVE-2019-9836)". Seclist Org. Archived from the original on 2 July 2019. Retrieved 4 July 2019. The SEV elliptic-curve (ECC) implementation was found to be vulnerable to an invalid curve attack. At launch-start command, an attacker can send small order ECC points not on the official NIST curves, and force the SEV firmware to multiply a small order point by the firmware's private DH scalar.

wired.com (Global: 193^rd place; English: 152^nd place)

Kim Zetter, RSA Tells Its Developer Customers: Stop Using NSA-Linked Algorithm Wired, 19 September 2013. "Recommending against the use of SP 800-90A Dual Elliptic Curve Deterministic Random Bit Generation: NIST strongly recommends that, pending the resolution of the security concerns and the re-issuance of SP 800-90A, the Dual_EC_DRBG, as specified in the January 2012 version of SP 800-90A, no longer be used."

yp.to (Global: low place; English: 8,415^th place)

cr.yp.to

Bernstein, D. J. "Irrelevant patents on elliptic-curve cryptography".
Brown, M.; Hankerson, D.; Lopez, J.; Menezes, A. (2001). "Software Implementation of the NIST Elliptic Curves over Prime Fields". Topics in Cryptology — CT-RSA 2001. Lecture Notes in Computer Science. Vol. 2020. pp. 250–265. CiteSeerX 10.1.1.25.8619. doi:10.1007/3-540-45353-9_19. ISBN 978-3-540-41898-6.

Elliptic-curve cryptography (English Wikipedia)

arxiv.org (Global: 69th place; English: 59th place)

austms.org.au (Global: low place; English: low place)

anziamj.austms.org.au

certicom.com (Global: low place; English: low place)

cryptome.org (Global: low place; English: low place)

doi.org (Global: 2nd place; English: 2nd place)

ecc-brainpool.org (Global: low place; English: low place)

ecc-challenge.info (Global: low place; English: low place)

emc.com (Global: low place; English: low place)

epfl.ch (Global: 4,521st place; English: 4,877th place)

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f5.com (Global: low place; English: low place)

ghostarchive.org (Global: 32nd place; English: 21st place)

harvard.edu (Global: 18th place; English: 17th place)

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hp.com (Global: 3,975th place; English: 2,687th place)

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iacr.org (Global: 5,032nd place; English: 3,357th place)

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iacr.org

ieee.org (Global: 652nd place; English: 515th place)

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jstor.org (Global: 26th place; English: 20th place)

nist.gov (Global: 355th place; English: 454th place)

csrc.nist.gov

nsa.gov (Global: 7,043rd place; English: 4,687th place)

nsa.gov

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nytimes.com (Global: 7th place; English: 7th place)

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bits.blogs.nytimes.com

psu.edu (Global: 207th place; English: 136th place)

citeseerx.ist.psu.edu

schneier.com (Global: 8,888th place; English: 6,276th place)

secg.org (Global: low place; English: low place)

seclists.org (Global: low place; English: low place)

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semanticscholar.org (Global: 11th place; English: 8th place)

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slashdot.org (Global: 5,701st place; English: 4,384th place)

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web.archive.org (Global: 1st place; English: 1st place)

wired.com (Global: 193rd place; English: 152nd place)

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arxiv.org (Global: 69^th place; English: 59^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

epfl.ch (Global: 4,521^st place; English: 4,877^th place)

ghostarchive.org (Global: 32^nd place; English: 21^st place)

harvard.edu (Global: 18^th place; English: 17^th place)

hp.com (Global: 3,975^th place; English: 2,687^th place)

iacr.org (Global: 5,032^nd place; English: 3,357^th place)

ieee.org (Global: 652^nd place; English: 515^th place)

jstor.org (Global: 26^th place; English: 20^th place)

nist.gov (Global: 355^th place; English: 454^th place)

nsa.gov (Global: 7,043^rd place; English: 4,687^th place)

nytimes.com (Global: 7^th place; English: 7^th place)

psu.edu (Global: 207^th place; English: 136^th place)

schneier.com (Global: 8,888^th place; English: 6,276^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

slashdot.org (Global: 5,701^st place; English: 4,384^th place)

web.archive.org (Global: 1^st place; English: 1^st place)

wired.com (Global: 193^rd place; English: 152^nd place)

yp.to (Global: low place; English: 8,415^th place)