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(Top)
| https://en.wikipedia.org/wiki/EdDSA |
|
1
Summary
| https://en.wikipedia.org/wiki/EdDSA#Summary |
|
2
Ed25519
| https://en.wikipedia.org/wiki/EdDSA#Ed25519 |
|
2.1
Performance
| https://en.wikipedia.org/wiki/EdDSA#Performance |
|
2.2
Secure coding
| https://en.wikipedia.org/wiki/EdDSA#Secure_coding |
|
2.3
Standardization and implementation inconsistencies
| https://en.wikipedia.org/wiki/EdDSA#Standardization_and_implementation_inconsistencies |
|
2.4
Software
| https://en.wikipedia.org/wiki/EdDSA#Software |
|
3
Ed448
| https://en.wikipedia.org/wiki/EdDSA#Ed448 |
|
4
References
| https://en.wikipedia.org/wiki/EdDSA#References |
|
5
External links
| https://en.wikipedia.org/wiki/EdDSA#External_links |
| Français | https://fr.wikipedia.org/wiki/EdDSA |
| 日本語 | https://ja.wikipedia.org/wiki/%E3%82%A8%E3%83%89%E3%83%AF%E3%83%BC%E3%82%BA%E6%9B%B2%E7%B7%9A%E3%83%87%E3%82%B8%E3%82%BF%E3%83%AB%E7%BD%B2%E5%90%8D%E3%82%A2%E3%83%AB%E3%82%B4%E3%83%AA%E3%82%BA%E3%83%A0 |
| Italiano | https://it.wikipedia.org/wiki/EdDSA |
| Русский | https://ru.wikipedia.org/wiki/EdDSA |
| Español | https://es.wikipedia.org/wiki/EdDSA |
| 中文 | https://zh.wikipedia.org/wiki/EdDSA |
| 한국어 | https://ko.wikipedia.org/wiki/%EC%97%90%EB%93%9C%EC%9B%8C%EC%A6%88_%EA%B3%A1%EC%84%A0_%EB%94%94%EC%A7%80%ED%84%B8_%EC%84%9C%EB%AA%85_%EC%95%8C%EA%B3%A0%EB%A6%AC%EC%A6%98 |
| Čeština | https://cs.wikipedia.org/wiki/EdDSA |
| Català | https://ca.wikipedia.org/wiki/EdDSA |
| Edit links | https://www.wikidata.org/wiki/Special:EntityPage/Q16966748#sitelinks-wikipedia |
| Article | https://en.wikipedia.org/wiki/EdDSA |
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| Read | https://en.wikipedia.org/wiki/EdDSA |
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| Read | https://en.wikipedia.org/wiki/EdDSA |
| Edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit |
| View history | https://en.wikipedia.org/w/index.php?title=EdDSA&action=history |
| What links here | https://en.wikipedia.org/wiki/Special:WhatLinksHere/EdDSA |
| Related changes | https://en.wikipedia.org/wiki/Special:RecentChangesLinked/EdDSA |
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| Permanent link | https://en.wikipedia.org/w/index.php?title=EdDSA&oldid=1304068429 |
| Page information | https://en.wikipedia.org/w/index.php?title=EdDSA&action=info |
| Cite this page | https://en.wikipedia.org/w/index.php?title=Special:CiteThisPage&page=EdDSA&id=1304068429&wpFormIdentifier=titleform |
| Get shortened URL | https://en.wikipedia.org/w/index.php?title=Special:UrlShortener&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FEdDSA |
| Download QR code | https://en.wikipedia.org/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FEdDSA |
| Download as PDF | https://en.wikipedia.org/w/index.php?title=Special:DownloadAsPdf&page=EdDSA&action=show-download-screen |
| Printable version | https://en.wikipedia.org/w/index.php?title=EdDSA&printable=yes |
| Wikidata item | https://www.wikidata.org/wiki/Special:EntityPage/Q16966748 |
| ECDSA | https://en.wikipedia.org/wiki/ECDSA |
| Daniel J. Bernstein | https://en.wikipedia.org/wiki/Daniel_J._Bernstein |
| Tanja Lange | https://en.wikipedia.org/wiki/Tanja_Lange |
| Bo-Yin Yang | https://en.wikipedia.org/w/index.php?title=Bo-Yin_Yang&action=edit&redlink=1 |
| Elliptic-curve cryptography | https://en.wikipedia.org/wiki/Elliptic-curve_cryptography |
| public-key cryptography | https://en.wikipedia.org/wiki/Public-key_cryptography |
| digital signature | https://en.wikipedia.org/wiki/Digital_signature |
| Schnorr signature | https://en.wikipedia.org/wiki/Schnorr_signature |
| twisted Edwards curves | https://en.wikipedia.org/wiki/Twisted_Edwards_curve |
| [1] | https://en.wikipedia.org/wiki/EdDSA#cite_note-RFC8032-1 |
| Daniel J. Bernstein | https://en.wikipedia.org/wiki/Daniel_J._Bernstein |
| Tanja Lange | https://en.wikipedia.org/wiki/Tanja_Lange |
| Bo-Yin Yang | https://en.wikipedia.org/w/index.php?title=Bo-Yin_Yang&action=edit&redlink=1 |
| [2] | https://en.wikipedia.org/wiki/EdDSA#cite_note-DJB-2 |
| reference implementation | https://en.wikipedia.org/wiki/Reference_implementation |
| public-domain software | https://en.wikipedia.org/wiki/Public-domain_software |
| [3] | https://en.wikipedia.org/wiki/EdDSA#cite_note-3 |
| edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit§ion=1 |
| [4] | https://en.wikipedia.org/wiki/EdDSA#cite_note-bjlsy2015eddsamorecurves-4 |
| [2] | https://en.wikipedia.org/wiki/EdDSA#cite_note-DJB-2 |
| [1] | https://en.wikipedia.org/wiki/EdDSA#cite_note-RFC8032-1 |
| [4] | https://en.wikipedia.org/wiki/EdDSA#cite_note-bjlsy2015eddsamorecurves-4 |
| [2] | https://en.wikipedia.org/wiki/EdDSA#cite_note-DJB-2 |
| [1] | https://en.wikipedia.org/wiki/EdDSA#cite_note-RFC8032-1 |
| finite field | https://en.wikipedia.org/wiki/Finite_field |
| elliptic curve | https://en.wikipedia.org/wiki/Elliptic-curve_cryptography |
|
F
q
{\displaystyle \mathbb {F} _{q}}
-rational points | https://en.wikipedia.org/wiki/Rational_point |
| cryptographic hash function | https://en.wikipedia.org/wiki/Cryptographic_hash_function |
| Pollard's rho algorithm for logarithms | https://en.wikipedia.org/wiki/Pollard%27s_rho_algorithm_for_logarithms |
| [5] | https://en.wikipedia.org/wiki/EdDSA#cite_note-5 |
| [6] | https://en.wikipedia.org/wiki/EdDSA#cite_note-6 |
| Hasse's theorem | https://en.wikipedia.org/wiki/Hasse%27s_theorem_on_elliptic_curves |
| random oracle | https://en.wikipedia.org/wiki/Random_oracle |
| concatenation | https://en.wikipedia.org/wiki/Concatenation |
| little-endian | https://en.wikipedia.org/wiki/Little-endian |
| edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit§ion=2 |
| SHA-512 | https://en.wikipedia.org/wiki/SHA-512 |
| Curve25519 | https://en.wikipedia.org/wiki/Curve25519 |
| [2] | https://en.wikipedia.org/wiki/EdDSA#cite_note-DJB-2 |
| twisted Edwards curve | https://en.wikipedia.org/wiki/Twisted_Edwards_curve |
| SHA-512 | https://en.wikipedia.org/wiki/SHA-512 |
| twisted Edwards curve | https://en.wikipedia.org/wiki/Twisted_Edwards_curve |
| [7] | https://en.wikipedia.org/wiki/EdDSA#cite_note-RFC7748-7 |
| [1] | https://en.wikipedia.org/wiki/EdDSA#cite_note-RFC8032-1 |
| birationally equivalent | https://en.wikipedia.org/wiki/Birationally_equivalent |
| Montgomery curve | https://en.wikipedia.org/wiki/Montgomery_curve |
| Curve25519 | https://en.wikipedia.org/wiki/Curve25519 |
| [2] | https://en.wikipedia.org/wiki/EdDSA#cite_note-DJB-2 |
| [7] | https://en.wikipedia.org/wiki/EdDSA#cite_note-RFC7748-7 |
| [8] | https://en.wikipedia.org/wiki/EdDSA#cite_note-8 |
| edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit§ion=3 |
| x86-64 | https://en.wikipedia.org/wiki/X86-64 |
| Nehalem | https://en.wikipedia.org/wiki/Nehalem_(microarchitecture) |
| Westmere | https://en.wikipedia.org/wiki/Westmere_(microarchitecture) |
| symmetric ciphers | https://en.wikipedia.org/wiki/Symmetric-key_algorithm |
| [9] | https://en.wikipedia.org/wiki/EdDSA#cite_note-9 |
| [10] | https://en.wikipedia.org/wiki/EdDSA#cite_note-10 |
| edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit§ion=4 |
| [2] | https://en.wikipedia.org/wiki/EdDSA#cite_note-DJB-2 |
| [1] | https://en.wikipedia.org/wiki/EdDSA#cite_note-RFC8032-1 |
| side-channel attacks | https://en.wikipedia.org/wiki/Side-channel_attack |
| nonce | https://en.wikipedia.org/wiki/Cryptographic_nonce |
| DSA | https://en.wikipedia.org/wiki/Digital_Signature_Algorithm |
| ECDSA | https://en.wikipedia.org/wiki/ECDSA |
| Sony PlayStation 3 | https://en.wikipedia.org/wiki/Sony_PlayStation_3 |
| [11] | https://en.wikipedia.org/wiki/EdDSA#cite_note-11 |
| [12] | https://en.wikipedia.org/wiki/EdDSA#cite_note-12 |
| [13] | https://en.wikipedia.org/wiki/EdDSA#cite_note-13 |
| [14] | https://en.wikipedia.org/wiki/EdDSA#cite_note-14 |
| [2] | https://en.wikipedia.org/wiki/EdDSA#cite_note-DJB-2 |
| edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit§ion=5 |
| RFC | https://en.wikipedia.org/wiki/RFC_(identifier) |
| 8032 | https://www.rfc-editor.org/rfc/rfc8032 |
| [15] | https://en.wikipedia.org/wiki/EdDSA#cite_note-FIPS_186-5-15 |
| [16] | https://en.wikipedia.org/wiki/EdDSA#cite_note-16 |
| [17] | https://en.wikipedia.org/wiki/EdDSA#cite_note-17 |
| [18] | https://en.wikipedia.org/wiki/EdDSA#cite_note-18 |
| edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit§ion=6 |
| OpenSSH | https://en.wikipedia.org/wiki/OpenSSH |
| [19] | https://en.wikipedia.org/wiki/EdDSA#cite_note-19 |
| GnuPG | https://en.wikipedia.org/wiki/GnuPG |
| [20] | https://en.wikipedia.org/wiki/EdDSA#cite_note-20 |
| signify | https://en.wikipedia.org/wiki/Signify_(OpenBSD) |
| OpenBSD | https://en.wikipedia.org/wiki/OpenBSD |
| [21] | https://en.wikipedia.org/wiki/EdDSA#cite_note-21 |
| [22] | https://en.wikipedia.org/wiki/EdDSA#cite_note-22 |
| FIPS | https://en.wikipedia.org/wiki/Federal_Information_Processing_Standards |
| [15] | https://en.wikipedia.org/wiki/EdDSA#cite_note-FIPS_186-5-15 |
| Apple Watch | https://en.wikipedia.org/wiki/Apple_Watch |
| iPhone | https://en.wikipedia.org/wiki/IPhone |
| IKEv2 | https://en.wikipedia.org/wiki/IKEv2 |
| [23] | https://en.wikipedia.org/wiki/EdDSA#cite_note-23 |
| Botan | https://en.wikipedia.org/wiki/Botan_(programming_library) |
| Crypto++ | https://en.wikipedia.org/wiki/Crypto%2B%2B |
| CryptoNote | https://en.wikipedia.org/wiki/CryptoNote |
| cryptocurrency | https://en.wikipedia.org/wiki/Cryptocurrency |
| protocol | https://en.wikipedia.org/wiki/Cryptographic_protocol |
| Dropbear SSH | https://en.wikipedia.org/wiki/Dropbear_(software) |
| [24] | https://en.wikipedia.org/wiki/EdDSA#cite_note-24 |
| [25] | https://en.wikipedia.org/wiki/EdDSA#cite_note-25 |
| Java Development Kit | https://en.wikipedia.org/wiki/Java_Development_Kit |
| Libgcrypt | https://en.wikipedia.org/wiki/Libgcrypt |
| [26] | https://en.wikipedia.org/wiki/EdDSA#cite_note-26 |
| [27] | https://en.wikipedia.org/wiki/EdDSA#cite_note-27 |
| macOS | https://en.wikipedia.org/wiki/MacOS |
| NaCl / libsodium | https://en.wikipedia.org/wiki/NaCl_(software) |
| [28] | https://en.wikipedia.org/wiki/EdDSA#cite_note-28 |
| OpenSSL | https://en.wikipedia.org/wiki/OpenSSL |
| [29] | https://en.wikipedia.org/wiki/EdDSA#cite_note-29 |
| Python | https://en.wikipedia.org/wiki/Python_(programming_language) |
| [30] | https://en.wikipedia.org/wiki/EdDSA#cite_note-30 |
| side-channel attack | https://en.wikipedia.org/wiki/Side-channel_attack |
| [31] | https://en.wikipedia.org/wiki/EdDSA#cite_note-31 |
| [32] | https://en.wikipedia.org/wiki/EdDSA#cite_note-32 |
| C language | https://en.wikipedia.org/wiki/C_language |
| assembler | https://en.wikipedia.org/wiki/Assembler_(computing) |
| [33] | https://en.wikipedia.org/wiki/EdDSA#cite_note-33 |
| wolfSSL | https://en.wikipedia.org/wiki/WolfSSL |
| [34] | https://en.wikipedia.org/wiki/EdDSA#cite_note-34 |
| edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit§ion=7 |
| RFC | https://en.wikipedia.org/wiki/RFC_(identifier) |
| 8032 | https://www.rfc-editor.org/rfc/rfc8032 |
| SHAKE256 | https://en.wikipedia.org/wiki/SHAKE256 |
| Edwards curve | https://en.wikipedia.org/wiki/Edwards_curve |
| Curve448 | https://en.wikipedia.org/wiki/Curve448 |
| RFC | https://en.wikipedia.org/wiki/RFC_(identifier) |
| 7748 | https://www.rfc-editor.org/rfc/rfc7748 |
| [15] | https://en.wikipedia.org/wiki/EdDSA#cite_note-FIPS_186-5-15 |
| edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit§ion=8 |
| a | https://en.wikipedia.org/wiki/EdDSA#cite_ref-RFC8032_1-0 |
| b | https://en.wikipedia.org/wiki/EdDSA#cite_ref-RFC8032_1-1 |
| c | https://en.wikipedia.org/wiki/EdDSA#cite_ref-RFC8032_1-2 |
| d | https://en.wikipedia.org/wiki/EdDSA#cite_ref-RFC8032_1-3 |
| e | https://en.wikipedia.org/wiki/EdDSA#cite_ref-RFC8032_1-4 |
| Edwards-Curve Digital Signature Algorithm (EdDSA) | https://www.rfc-editor.org/rfc/rfc8032 |
| IRTF | https://en.wikipedia.org/wiki/Internet_Research_Task_Force |
| doi | https://en.wikipedia.org/wiki/Doi_(identifier) |
| 10.17487/RFC8032 | https://doi.org/10.17487%2FRFC8032 |
| ISSN | https://en.wikipedia.org/wiki/ISSN_(identifier) |
| 2070-1721 | https://search.worldcat.org/issn/2070-1721 |
| RFC | https://en.wikipedia.org/wiki/Request_for_Comments |
| 8032 | https://datatracker.ietf.org/doc/html/rfc8032 |
| a | https://en.wikipedia.org/wiki/EdDSA#cite_ref-DJB_2-0 |
| b | https://en.wikipedia.org/wiki/EdDSA#cite_ref-DJB_2-1 |
| c | https://en.wikipedia.org/wiki/EdDSA#cite_ref-DJB_2-2 |
| d | https://en.wikipedia.org/wiki/EdDSA#cite_ref-DJB_2-3 |
| e | https://en.wikipedia.org/wiki/EdDSA#cite_ref-DJB_2-4 |
| f | https://en.wikipedia.org/wiki/EdDSA#cite_ref-DJB_2-5 |
| g | https://en.wikipedia.org/wiki/EdDSA#cite_ref-DJB_2-6 |
| Bernstein, Daniel J. | https://en.wikipedia.org/wiki/Daniel_J._Bernstein |
| Lange, Tanja | https://en.wikipedia.org/wiki/Tanja_Lange |
| Bo-Yin Yang | https://en.wikipedia.org/w/index.php?title=Bo-Yin_Yang&action=edit&redlink=1 |
| "High-speed high-security signatures" | https://ed25519.cr.yp.to/ed25519-20110926.pdf |
| doi | https://en.wikipedia.org/wiki/Doi_(identifier) |
| 10.1007/s13389-012-0027-1 | https://doi.org/10.1007%2Fs13389-012-0027-1 |
| S2CID | https://en.wikipedia.org/wiki/S2CID_(identifier) |
| 945254 | https://api.semanticscholar.org/CorpusID:945254 |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-3 |
| "Software" | https://ed25519.cr.yp.to/software.html |
| a | https://en.wikipedia.org/wiki/EdDSA#cite_ref-bjlsy2015eddsamorecurves_4-0 |
| b | https://en.wikipedia.org/wiki/EdDSA#cite_ref-bjlsy2015eddsamorecurves_4-1 |
| Daniel J. Bernstein | https://en.wikipedia.org/wiki/Daniel_J._Bernstein |
| Tanja Lange | https://en.wikipedia.org/wiki/Tanja_Lange |
| Bo-Yin Yang | https://en.wikipedia.org/w/index.php?title=Bo-Yin_Yang&action=edit&redlink=1 |
| EdDSA for more curves | https://ed25519.cr.yp.to/eddsa-20150704.pdf |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-5 |
| Daniel J. Bernstein | https://en.wikipedia.org/wiki/Daniel_J._Bernstein |
| Tanja Lange | https://en.wikipedia.org/wiki/Tanja_Lange |
| On the correct use of the negation map in the Pollard rho method | https://eprint.iacr.org/2011/003 |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-6 |
| Bernstein, Daniel J. | https://en.wikipedia.org/wiki/Daniel_J._Bernstein |
| Lange, Tanja | https://en.wikipedia.org/wiki/Tanja_Lange |
| "ECDLP Security: Rho" | https://safecurves.cr.yp.to/rho.html |
| a | https://en.wikipedia.org/wiki/EdDSA#cite_ref-RFC7748_7-0 |
| b | https://en.wikipedia.org/wiki/EdDSA#cite_ref-RFC7748_7-1 |
| Elliptic Curves for Security | https://www.rfc-editor.org/rfc/rfc7748 |
| IETF | https://en.wikipedia.org/wiki/Internet_Engineering_Task_Force |
| doi | https://en.wikipedia.org/wiki/Doi_(identifier) |
| 10.17487/RFC7748 | https://doi.org/10.17487%2FRFC7748 |
| ISSN | https://en.wikipedia.org/wiki/ISSN_(identifier) |
| 2070-1721 | https://search.worldcat.org/issn/2070-1721 |
| RFC | https://en.wikipedia.org/wiki/Request_for_Comments |
| 7748 | https://datatracker.ietf.org/doc/html/rfc7748 |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-8 |
| Bernstein, Daniel J. | https://en.wikipedia.org/wiki/Daniel_J._Bernstein |
| Lange, Tanja | https://en.wikipedia.org/wiki/Tanja_Lange |
| Faster addition and doubling on elliptic curves | https://eprint.iacr.org/2007/286 |
| doi | https://en.wikipedia.org/wiki/Doi_(identifier) |
| 10.1007/978-3-540-76900-2_3 | https://doi.org/10.1007%2F978-3-540-76900-2_3 |
| ISBN | https://en.wikipedia.org/wiki/ISBN_(identifier) |
| 978-3-540-76899-9 | https://en.wikipedia.org/wiki/Special:BookSources/978-3-540-76899-9 |
| MR | https://en.wikipedia.org/wiki/MR_(identifier) |
| 2565722 | https://mathscinet.ams.org/mathscinet-getitem?mr=2565722 |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-9 |
| Bernstein, Daniel J. | https://en.wikipedia.org/wiki/Daniel_J._Bernstein |
| "Ed25519: high-speed high-security signatures" | https://ed25519.cr.yp.to/ |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-10 |
| Bernstein, Daniel J. | https://en.wikipedia.org/wiki/Daniel_J._Bernstein |
| "Ed25519: high-speed high-security signatures" | https://ed25519.cr.yp.to/ |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-11 |
| "PS3 hacked through poor cryptography implementation" | https://arstechnica.com/gaming/2010/12/ps3-hacked-through-poor-implementation-of-cryptography/ |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-12 |
| Console Hacking 2010: PS3 Epic Fail | https://web.archive.org/web/20181026183945/https://events.ccc.de/congress/2010/Fahrplan/attachments/1780_27c3_console_hacking_2010.pdf |
| Chaos Communication Congress | https://en.wikipedia.org/wiki/Chaos_Communication_Congress |
| the original | https://events.ccc.de/congress/2010/Fahrplan/attachments/1780_27c3_console_hacking_2010.pdf |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-13 |
| "27th Chaos Communication Congress: Console Hacking 2010: PS3 Epic Fail" | https://www.cs.cmu.edu/~dst/GeoHot/1780_27c3_console_hacking_2010.pdf |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-14 |
| "Not Playing Randomly: The Sony PS3 and Bitcoin Crypto Hacks. Watch those random number generators" | https://web.archive.org/web/20181130215509/https://medium.com/asecuritysite-when-bob-met-alice/not-playing-randomly-the-sony-ps3-and-bitcoin-crypto-hacks-c1fe92bea9bc |
| Medium | https://en.wikipedia.org/wiki/Medium_(website) |
| the original | https://medium.com/asecuritysite-when-bob-met-alice/not-playing-randomly-the-sony-ps3-and-bitcoin-crypto-hacks-c1fe92bea9bc |
| a | https://en.wikipedia.org/wiki/EdDSA#cite_ref-FIPS_186-5_15-0 |
| b | https://en.wikipedia.org/wiki/EdDSA#cite_ref-FIPS_186-5_15-1 |
| c | https://en.wikipedia.org/wiki/EdDSA#cite_ref-FIPS_186-5_15-2 |
| FIPS 186-5: Digital Signature Standard (DSS) | https://csrc.nist.gov/publications/detail/fips/186/5/final |
| NIST | https://en.wikipedia.org/wiki/NIST |
| doi | https://en.wikipedia.org/wiki/Doi_(identifier) |
| 10.6028/NIST.FIPS.186-5 | https://doi.org/10.6028%2FNIST.FIPS.186-5 |
| S2CID | https://en.wikipedia.org/wiki/S2CID_(identifier) |
| 256480883 | https://api.semanticscholar.org/CorpusID:256480883 |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-16 |
| Taming the many EdDSAs | https://eprint.iacr.org/2020/1244 |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-17 |
| Cremers, Cas | https://en.wikipedia.org/wiki/Cas_Cremers |
| The provable security of ed25519: Theory and practice | https://eprint.iacr.org/2020/823 |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-18 |
| "ed25519-speccheck" | https://github.com/novifinancial/ed25519-speccheck |
| GitHub | https://en.wikipedia.org/wiki/GitHub |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-19 |
| "Changes since OpenSSH 6.4" | http://www.openssh.com/txt/release-6.5 |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-20 |
| "What's new in GnuPG 2.1" | https://gnupg.org/faq/whats-new-in-2.1.html |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-21 |
| "Things that use Ed25519" | https://ianix.com/pub/ed25519-deployment.html |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-22 |
| Ed25519 and Ed448 Public Key Algorithms for the Secure Shell (SSH) Protocol | https://www.rfc-editor.org/rfc/rfc8709 |
| IETF | https://en.wikipedia.org/wiki/Internet_Engineering_Task_Force |
| doi | https://en.wikipedia.org/wiki/Doi_(identifier) |
| 10.17487/RFC8709 | https://doi.org/10.17487%2FRFC8709 |
| ISSN | https://en.wikipedia.org/wiki/ISSN_(identifier) |
| 2070-1721 | https://search.worldcat.org/issn/2070-1721 |
| RFC | https://en.wikipedia.org/wiki/Request_for_Comments |
| 8709 | https://datatracker.ietf.org/doc/html/rfc8709 |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-23 |
| "System security for watchOS" | https://support.apple.com/guide/security/system-security-for-watchos-secc7d85209d/ |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-24 |
| "DROPBEAR_2013.61test" | https://web.archive.org/web/20190805012812/https://secure.ucc.asn.au/hg/dropbear/rev/DROPBEAR_2013.61test |
| the original | https://secure.ucc.asn.au/hg/dropbear/rev/DROPBEAR_2013.61test |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-25 |
| "Heuristic Algorithms and Distributed Computing" | https://web.archive.org/web/20161020120014/http://algorithms.samsu.ru/-tom2-nom4.pdf |
| ISSN | https://en.wikipedia.org/wiki/ISSN_(identifier) |
| 2311-8563 | https://search.worldcat.org/issn/2311-8563 |
| the original | http://algorithms.samsu.ru/-tom2-nom4.pdf |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-26 |
| "Minisign: A dead simple tool to sign files and verify signatures" | https://jedisct1.github.io/minisign |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-27 |
| minisign-misc | https://github.com/JayBrown/minisign-misc |
| GitHub | https://en.wikipedia.org/wiki/GitHub |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-28 |
| "libsodium/ChangeLog" | https://github.com/jedisct1/libsodium/blob/a162c09b69075c467dfa985cd605a80955512c48/ChangeLog |
| GitHub | https://en.wikipedia.org/wiki/GitHub |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-29 |
| "OpenSSL CHANGES" | https://web.archive.org/web/20180518200747/https://www.openssl.org/news/cl111.txt |
| the original | https://www.openssl.org/news/cl111.txt |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-30 |
| "python/ed25519.py: the main subroutines" | https://ed25519.cr.yp.to/python/ed25519.py |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-31 |
| "Software: Alternate implementations" | https://ed25519.cr.yp.to/software.html |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-32 |
| "eBACS: ECRYPT Benchmarking of Cryptographic Systems: SUPERCOP" | https://bench.cr.yp.to/supercop.html |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-33 |
| "Virgil Security Crypto Library for C: Library: Foundation" | https://github.com/VirgilSecurity/virgil-crypto-c#library-foundation |
| GitHub | https://en.wikipedia.org/wiki/GitHub |
| ^ | https://en.wikipedia.org/wiki/EdDSA#cite_ref-34 |
| "wolfSSL Embedded SSL Library (formerly CyaSSL)" | https://www.wolfssl.com/wolfSSL/Products-wolfssl.html |
| edit | https://en.wikipedia.org/w/index.php?title=EdDSA&action=edit§ion=9 |
| Ed25519 home page | https://ed25519.cr.yp.to/ |
| v | https://en.wikipedia.org/wiki/Template:Cryptography_public-key |
| t | https://en.wikipedia.org/wiki/Template_talk:Cryptography_public-key |
| e | https://en.wikipedia.org/wiki/Special:EditPage/Template:Cryptography_public-key |
| Public-key cryptography | https://en.wikipedia.org/wiki/Public-key_cryptography |
| Integer factorization | https://en.wikipedia.org/wiki/Integer_factorization |
| Benaloh | https://en.wikipedia.org/wiki/Benaloh_cryptosystem |
| Blum–Goldwasser | https://en.wikipedia.org/wiki/Blum%E2%80%93Goldwasser_cryptosystem |
| Cayley–Purser | https://en.wikipedia.org/wiki/Cayley%E2%80%93Purser_algorithm |
| Damgård–Jurik | https://en.wikipedia.org/wiki/Damg%C3%A5rd%E2%80%93Jurik_cryptosystem |
| GMR | https://en.wikipedia.org/wiki/GMR_(cryptography) |
| Goldwasser–Micali | https://en.wikipedia.org/wiki/Goldwasser%E2%80%93Micali_cryptosystem |
| Naccache–Stern | https://en.wikipedia.org/wiki/Naccache%E2%80%93Stern_cryptosystem |
| Paillier | https://en.wikipedia.org/wiki/Paillier_cryptosystem |
| Rabin | https://en.wikipedia.org/wiki/Rabin_signature |
| RSA | https://en.wikipedia.org/wiki/RSA_cryptosystem |
| Okamoto–Uchiyama | https://en.wikipedia.org/wiki/Okamoto%E2%80%93Uchiyama_cryptosystem |
| Schmidt–Samoa | https://en.wikipedia.org/wiki/Schmidt-Samoa_cryptosystem |
| Discrete logarithm | https://en.wikipedia.org/wiki/Discrete_logarithm |
| BLS | https://en.wikipedia.org/wiki/Boneh%E2%80%93Lynn%E2%80%93Shacham |
| Cramer–Shoup | https://en.wikipedia.org/wiki/Cramer%E2%80%93Shoup_cryptosystem |
| DH | https://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange |
| DSA | https://en.wikipedia.org/wiki/Digital_Signature_Algorithm |
| ECDH | https://en.wikipedia.org/wiki/Elliptic-curve_Diffie%E2%80%93Hellman |
| X25519 | https://en.wikipedia.org/wiki/Curve25519 |
| X448 | https://en.wikipedia.org/wiki/Curve448 |
| ECDSA | https://en.wikipedia.org/wiki/Elliptic_Curve_Digital_Signature_Algorithm |
| Ed25519 | https://en.wikipedia.org/wiki/EdDSA#Ed25519 |
| Ed448 | https://en.wikipedia.org/wiki/EdDSA#Ed448 |
| ECMQV | https://en.wikipedia.org/wiki/ECMQV |
| EKE | https://en.wikipedia.org/wiki/Encrypted_key_exchange |
| ElGamal | https://en.wikipedia.org/wiki/ElGamal_encryption |
| signature scheme | https://en.wikipedia.org/wiki/ElGamal_signature_scheme |
| MQV | https://en.wikipedia.org/wiki/MQV |
| Schnorr | https://en.wikipedia.org/wiki/Schnorr_signature |
| SPEKE | https://en.wikipedia.org/wiki/SPEKE |
| SRP | https://en.wikipedia.org/wiki/Secure_Remote_Password_protocol |
| STS | https://en.wikipedia.org/wiki/Station-to-Station_protocol |
| Lattice/SVP/CVP | https://en.wikipedia.org/wiki/Lattice-based_cryptography |
| LWE | https://en.wikipedia.org/wiki/Learning_with_errors |
| SIS | https://en.wikipedia.org/wiki/Short_integer_solution_problem |
| BLISS | https://en.wikipedia.org/wiki/BLISS_signature_scheme |
| Kyber | https://en.wikipedia.org/wiki/Kyber |
| NewHope | https://en.wikipedia.org/wiki/NewHope |
| NTRUEncrypt | https://en.wikipedia.org/wiki/NTRUEncrypt |
| NTRUSign | https://en.wikipedia.org/wiki/NTRUSign |
| RLWE-KEX | https://en.wikipedia.org/wiki/RLWE-KEX |
| RLWE-SIG | https://en.wikipedia.org/wiki/RLWE-SIG |
| AE | https://en.wikipedia.org/wiki/Algebraic_Eraser |
| CEILIDH | https://en.wikipedia.org/wiki/CEILIDH |
| EPOC | https://en.wikipedia.org/wiki/Efficient_Probabilistic_Public-Key_Encryption_Scheme |
| HFE | https://en.wikipedia.org/wiki/Hidden_Field_Equations |
| IES | https://en.wikipedia.org/wiki/Integrated_Encryption_Scheme |
| Lamport | https://en.wikipedia.org/wiki/Lamport_signature |
| McEliece | https://en.wikipedia.org/wiki/McEliece_cryptosystem |
| Merkle–Hellman | https://en.wikipedia.org/wiki/Merkle%E2%80%93Hellman_knapsack_cryptosystem |
| Naccache–Stern knapsack cryptosystem | https://en.wikipedia.org/wiki/Naccache%E2%80%93Stern_knapsack_cryptosystem |
| Three-pass protocol | https://en.wikipedia.org/wiki/Three-pass_protocol |
| XTR | https://en.wikipedia.org/wiki/XTR |
| SQIsign | https://en.wikipedia.org/wiki/SQIsign |
| SPHINCS+ | https://en.wikipedia.org/wiki/SPHINCS%2B |
| Discrete logarithm cryptography | https://en.wikipedia.org/wiki/Discrete_logarithm#Cryptography |
| Elliptic-curve cryptography | https://en.wikipedia.org/wiki/Elliptic-curve_cryptography |
| Hash-based cryptography | https://en.wikipedia.org/wiki/Hash-based_cryptography |
| Non-commutative cryptography | https://en.wikipedia.org/wiki/Non-commutative_cryptography |
| RSA problem | https://en.wikipedia.org/wiki/RSA_problem |
| Trapdoor function | https://en.wikipedia.org/wiki/Trapdoor_function |
| CRYPTREC | https://en.wikipedia.org/wiki/CRYPTREC |
| IEEE P1363 | https://en.wikipedia.org/wiki/IEEE_P1363 |
| NESSIE | https://en.wikipedia.org/wiki/NESSIE |
| NSA Suite B | https://en.wikipedia.org/wiki/NSA_Suite_B_Cryptography |
| CNSA | https://en.wikipedia.org/wiki/Commercial_National_Security_Algorithm_Suite |
| Post-Quantum Cryptography | https://en.wikipedia.org/wiki/NIST_Post-Quantum_Cryptography_Standardization |
| Digital signature | https://en.wikipedia.org/wiki/Digital_signature |
| OAEP | https://en.wikipedia.org/wiki/Optimal_asymmetric_encryption_padding |
| Fingerprint | https://en.wikipedia.org/wiki/Public_key_fingerprint |
| PKI | https://en.wikipedia.org/wiki/Public_key_infrastructure |
| Web of trust | https://en.wikipedia.org/wiki/Web_of_trust |
| Key size | https://en.wikipedia.org/wiki/Key_size |
| Identity-based cryptography | https://en.wikipedia.org/wiki/Identity-based_cryptography |
| Post-quantum cryptography | https://en.wikipedia.org/wiki/Post-quantum_cryptography |
| OpenPGP card | https://en.wikipedia.org/wiki/OpenPGP_card |
| https://en.wikipedia.org/w/index.php?title=EdDSA&oldid=1304068429 | https://en.wikipedia.org/w/index.php?title=EdDSA&oldid=1304068429 |
| Categories | https://en.wikipedia.org/wiki/Help:Category |
| Public-key cryptography | https://en.wikipedia.org/wiki/Category:Public-key_cryptography |
| Elliptic curve cryptography | https://en.wikipedia.org/wiki/Category:Elliptic_curve_cryptography |
| Digital signature schemes | https://en.wikipedia.org/wiki/Category:Digital_signature_schemes |
| Public-domain software with source code | https://en.wikipedia.org/wiki/Category:Public-domain_software_with_source_code |
| CS1 Russian-language sources (ru) | https://en.wikipedia.org/wiki/Category:CS1_Russian-language_sources_(ru) |
| Articles with short description | https://en.wikipedia.org/wiki/Category:Articles_with_short_description |
| Short description matches Wikidata | https://en.wikipedia.org/wiki/Category:Short_description_matches_Wikidata |
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