[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/6889#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/6889","headline":"RSA\u30d5\u30a1\u30af\u30bf\u30ea\u30f3\u30b0\u30c1\u30e3\u30ec\u30f3\u30b8 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","name":"RSA\u30d5\u30a1\u30af\u30bf\u30ea\u30f3\u30b0\u30c1\u30e3\u30ec\u30f3\u30b8 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2","description":"before-content-x4 RSA\u30d5\u30a1\u30af\u30bf\u30ea\u30f3\u30b0\u30c1\u30e3\u30ec\u30f3\u30b8 1991\u5e743\u670818\u65e5\u306bRSA\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u30ab\u30f3\u30d1\u30cb\u30fc\u306b\u3088\u3063\u3066\u547c\u3073\u51fa\u3055\u308c\u305f\u7af6\u4e89\u3067\u3057\u305f\u3002\u3053\u308c\u306f\u3001RSA\u6697\u53f7\u30b7\u30b9\u30c6\u30e0\u306e\u5b89\u5168\u6027\u3092\u793a\u3059\u3053\u3068\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002 after-content-x4 \u7279\u306b\u6570\u5b66\u8005\u3068\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u79d1\u5b66\u8005\u306f\u3001\u7570\u306a\u308b\u9577\u3055\uff08330\u301c2048\u30d3\u30c3\u30c8\uff09\u3067\u6307\u5b9a\u3055\u308c\u305f\u4e3b\u8981\u306a\u8981\u56e0\u5f0f\u5178\u3092\u898b\u3064\u3051\u308b\u3088\u3046\u306b\u6c42\u3081\u3089\u308c\u307e\u3057\u305f\u3002\u3053\u308c\u3089\u306e\u6570\u5024\u306e\u751f\u6210\u3068\u306f\u5bfe\u7167\u7684\u306b\u3001\u4e3b\u8981\u306a\u8981\u56e0\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u56f0\u96e3\u3067\u3059\u3002 Rabin\u304a\u3088\u3073RSA Cryptosystems\u306e\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u306f\u3001\u3053\u306e\u56f0\u96e3\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002\u8ab0\u304b\u304c\u30d7\u30e9\u30a4\u30e0\u30d5\u30a1\u30af\u30bf\u30fc\u3092\u7c21\u5358\u306b\u8a08\u7b97\u3067\u304d\u308b\u5834\u5408\u3001RSA\u3092\u4f7f\u7528\u3057\u3066\u751f\u6210\u3055\u308c\u305f\u79d8\u5bc6\u306e\u30c6\u30ad\u30b9\u30c8\u3092\u5fa9\u53f7\u5316\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 RSA\u306b\u306f\u4ed6\u306e\u653b\u6483\u65b9\u6cd5\uff08\u30bf\u30a4\u30df\u30f3\u30b0\u653b\u6483\u306a\u3069\uff09\u304c\u3042\u308b\u305f\u3081\u3001Factionization\u306e\u305f\u3081\u306e\u52b9\u7387\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6b20\u5982\u3092\u4f34\u3046RSA\u6697\u53f7\u30b7\u30b9\u30c6\u30e0\u306e\u5b89\u5168\u6027\u306f\u8a3c\u660e\u3067\u304d\u307e\u305b\u3093\u3002\u305f\u3060\u3057\u3001RSA\u30e2\u30b8\u30e5\u30fc\u30eb\u306f\u534a\u30d7\u30e9\u30a4\u30e0\u6570\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u304c\u56f0\u96e3\u3067\u3042\u308b\u305f\u3081\uff08\u3064\u307e\u308a\u3001\u6b63\u78ba\u306b2\u3064\u306e\u7d20\u6570\u306e\u7a4d\u3092\u652f\u6255\u3046\uff09\u3001\u3053\u308c\u3089\u306e\u6570\u5b57\u306f\u3001\u56e0\u6570\u5206\u89e3\u624b\u9806\u306e\u6709\u52b9\u6027\u3092\u793a\u3059\u826f\u3044\u5019\u88dc\u3067\u3059\u3002 \u96e3\u6613\u5ea6\u306b\u5fdc\u3058\u3066\u3001\u7570\u306a\u308b\u6570\u5b57\u306b\u306f\u7570\u306a\u308b\u9ad8\u3055\u306e\u4fa1\u683c\u304c\u6075\u307e\u308c\u3066\u3044\u307e\u3057\u305f\u3002 RSA-2048\u3068\u547c\u3070\u308c\u308b\u6700\u9577\u6570\u306f200,000\u30c9\u30eb\u3067\u3059\u3002\u4fa1\u683c\u306e\u7dcf\u984d\u306f635,100\u30c9\u30eb\u3067\u3057\u305f\u3002 \u7af6\u4e89\u304c\u767a\u8868\u3055\u308c\u3066\u304b\u3089\u6700\u521d\u306e\u6570\u5e74\u3067\u3001\u3053\u308c\u3089\u306e\u6570\u5b57\u306e\u3044\u304f\u3064\u304b\u306f\u3001\u7279\u306bArjen Lenstra\u306b\u3088\u3063\u3066\u8003\u616e\u3055\u308c\u307e\u3057\u305f\u3002 [\u521d\u3081] \u305f\u3060\u3057\u3001530\u30d3\u30c3\u30c8\u306e\u5883\u754c\u7dda\u306f2003\u5e74\u307e\u3067\u306b\u306f\u8d85\u3048\u3089\u308c\u3066\u3044\u307e\u305b\u3093\u3002 after-content-x4 RSA-576 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059","datePublished":"2021-09-23","dateModified":"2021-09-23","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/de.wikipedia.org\/wiki\/Special:CentralAutoLogin\/start?type=1x1","url":"https:\/\/de.wikipedia.org\/wiki\/Special:CentralAutoLogin\/start?type=1x1","height":"1","width":"1"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/6889","wordCount":467,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 RSA\u30d5\u30a1\u30af\u30bf\u30ea\u30f3\u30b0\u30c1\u30e3\u30ec\u30f3\u30b8 1991\u5e743\u670818\u65e5\u306bRSA\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u30ab\u30f3\u30d1\u30cb\u30fc\u306b\u3088\u3063\u3066\u547c\u3073\u51fa\u3055\u308c\u305f\u7af6\u4e89\u3067\u3057\u305f\u3002\u3053\u308c\u306f\u3001RSA\u6697\u53f7\u30b7\u30b9\u30c6\u30e0\u306e\u5b89\u5168\u6027\u3092\u793a\u3059\u3053\u3068\u306b\u306a\u3063\u3066\u3044\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u7279\u306b\u6570\u5b66\u8005\u3068\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u79d1\u5b66\u8005\u306f\u3001\u7570\u306a\u308b\u9577\u3055\uff08330\u301c2048\u30d3\u30c3\u30c8\uff09\u3067\u6307\u5b9a\u3055\u308c\u305f\u4e3b\u8981\u306a\u8981\u56e0\u5f0f\u5178\u3092\u898b\u3064\u3051\u308b\u3088\u3046\u306b\u6c42\u3081\u3089\u308c\u307e\u3057\u305f\u3002\u3053\u308c\u3089\u306e\u6570\u5024\u306e\u751f\u6210\u3068\u306f\u5bfe\u7167\u7684\u306b\u3001\u4e3b\u8981\u306a\u8981\u56e0\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u306f\u975e\u5e38\u306b\u56f0\u96e3\u3067\u3059\u3002 Rabin\u304a\u3088\u3073RSA Cryptosystems\u306e\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u306f\u3001\u3053\u306e\u56f0\u96e3\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002\u8ab0\u304b\u304c\u30d7\u30e9\u30a4\u30e0\u30d5\u30a1\u30af\u30bf\u30fc\u3092\u7c21\u5358\u306b\u8a08\u7b97\u3067\u304d\u308b\u5834\u5408\u3001RSA\u3092\u4f7f\u7528\u3057\u3066\u751f\u6210\u3055\u308c\u305f\u79d8\u5bc6\u306e\u30c6\u30ad\u30b9\u30c8\u3092\u5fa9\u53f7\u5316\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u307e\u3059\u3002 RSA\u306b\u306f\u4ed6\u306e\u653b\u6483\u65b9\u6cd5\uff08\u30bf\u30a4\u30df\u30f3\u30b0\u653b\u6483\u306a\u3069\uff09\u304c\u3042\u308b\u305f\u3081\u3001Factionization\u306e\u305f\u3081\u306e\u52b9\u7387\u7684\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6b20\u5982\u3092\u4f34\u3046RSA\u6697\u53f7\u30b7\u30b9\u30c6\u30e0\u306e\u5b89\u5168\u6027\u306f\u8a3c\u660e\u3067\u304d\u307e\u305b\u3093\u3002\u305f\u3060\u3057\u3001RSA\u30e2\u30b8\u30e5\u30fc\u30eb\u306f\u534a\u30d7\u30e9\u30a4\u30e0\u6570\u3092\u8003\u616e\u3059\u308b\u3053\u3068\u304c\u56f0\u96e3\u3067\u3042\u308b\u305f\u3081\uff08\u3064\u307e\u308a\u3001\u6b63\u78ba\u306b2\u3064\u306e\u7d20\u6570\u306e\u7a4d\u3092\u652f\u6255\u3046\uff09\u3001\u3053\u308c\u3089\u306e\u6570\u5b57\u306f\u3001\u56e0\u6570\u5206\u89e3\u624b\u9806\u306e\u6709\u52b9\u6027\u3092\u793a\u3059\u826f\u3044\u5019\u88dc\u3067\u3059\u3002 \u96e3\u6613\u5ea6\u306b\u5fdc\u3058\u3066\u3001\u7570\u306a\u308b\u6570\u5b57\u306b\u306f\u7570\u306a\u308b\u9ad8\u3055\u306e\u4fa1\u683c\u304c\u6075\u307e\u308c\u3066\u3044\u307e\u3057\u305f\u3002 RSA-2048\u3068\u547c\u3070\u308c\u308b\u6700\u9577\u6570\u306f200,000\u30c9\u30eb\u3067\u3059\u3002\u4fa1\u683c\u306e\u7dcf\u984d\u306f635,100\u30c9\u30eb\u3067\u3057\u305f\u3002 \u7af6\u4e89\u304c\u767a\u8868\u3055\u308c\u3066\u304b\u3089\u6700\u521d\u306e\u6570\u5e74\u3067\u3001\u3053\u308c\u3089\u306e\u6570\u5b57\u306e\u3044\u304f\u3064\u304b\u306f\u3001\u7279\u306bArjen Lenstra\u306b\u3088\u3063\u3066\u8003\u616e\u3055\u308c\u307e\u3057\u305f\u3002 [\u521d\u3081] \u305f\u3060\u3057\u3001530\u30d3\u30c3\u30c8\u306e\u5883\u754c\u7dda\u306f2003\u5e74\u307e\u3067\u306b\u306f\u8d85\u3048\u3089\u308c\u3066\u3044\u307e\u305b\u3093\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4RSA-576 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3053\u306e174\u6841\u306e\u6570\u306e\u4e3b\u8981\u306a\u8981\u56e0\u306f\u30012003\u5e7412\u6708\u306b\u30dc\u30f3\u306e\u6570\u5b66\u7814\u7a76\u6240\u3068\u30a8\u30c3\u30bb\u30f3\u306e\u5b9f\u9a13\u6570\u5b66\u7814\u7a76\u6240\u306eJens Franke\u3068Thorsten Kleinjung\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u307e\u3057\u305f\u3002\u8cde\u91d1\u306f10,000\u30c9\u30eb\u3067\u3057\u305f\u3002 RSA-576 = 1881988129206079638383869723946165043980716635633794173827007635642229888888888888888888888888888888880606047430          45317388011303396716199692321205734031879550656996221305168759307650257059 RSA-576 = 3980750864240649337397125500555038649119906436234252670840638518957594638895726176858317\u00d7          4727721461074353025362233071973048224632914695302097116459852171130520711256363590397527 RSA-640 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3053\u306e193\u6841\u306e\u6570\u306e\u8981\u56e0\u306f\u30012005\u5e7411\u6708\u306bF. Bahr\u3001M\u3002Boehm\u3001J\u3002Franke\u3001T\u3002Kleinjung\u306b\u3088\u3063\u3066\u767a\u898b\u3055\u308c\u307e\u3057\u305f\u3002\u8cde\u91d1\u306f20,000\u30c9\u30eb\u3067\u3057\u305f\u3002 RSA-640 = 310741824049004372135075003588856793003734602284272754572016194882320644440518081505563482829671723286          782437916272838033415471073108501919548529007337724822783525742386454014691736602476523466099 RSA-640 = 163473645809253848443133883865090859841783670033092312181110852389333310010450815121211817511579x          19008712816648221312685157393541397547189678996851549366666385390888027103802104989571912614571571 RSA-768 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3053\u306e232\u6841\u306e\u6570\u306e\u8981\u56e0\u306f\u30012009\u5e7412\u670812\u65e5\u306bThorsten Kleinjung U\u306b\u3088\u3063\u3066\u884c\u308f\u308c\u307e\u3057\u305f\u3002\u5b8c\u4e86\u3057\u307e\u3057\u305f\u3002 [2] RSA\u30d5\u30a1\u30af\u30bf\u30ea\u30f3\u30b0\u30c1\u30e3\u30ec\u30f3\u30b8\u306f\u305d\u306e\u6642\u70b9\u3067\u3059\u3067\u306b\u7d42\u4e86\u3057\u3066\u3044\u305f\u305f\u3081\u3001\u8cde\u91d1\u306f\u652f\u6255\u308f\u308c\u307e\u305b\u3093\u3067\u3057\u305f\u3002 RSA-768 = 123018668453011775513049495838496272077285356959534792197322245215172640050726          36575187452021997864693899564749427406384592519255732630345373154826850791702          612214291346167042921431160222124047927473794080665351419597459856902143413 RSA-768 = 33478071698956898786044169848212690817704794983713768568912431388982883793878002287614711652531743087737814467999489 \u00d7          36746043666799590428244633337996279526322791581643430876426760322838157396666651127923333334171433968270092700927998363636363 2007\u5e745\u6708\u3001\u30dc\u30f3\u306eJens Franke\u3068Thorsten Kleinjung\u304c\u7387\u3044\u308b\u30c1\u30fc\u30e0\u306f\u30011039\u5e74\u306e\u56e0\u6570\u5206\u89e3\u3092\u8ff0\u3079\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u305d\u306e\u76f4\u5f8c\u3001RSA\u30d5\u30a1\u30af\u30bf\u30ea\u30f3\u30b0\u30c1\u30e3\u30ec\u30f3\u30b8\u304c\u5ba3\u8a00\u3055\u308c\u307e\u3057\u305f\u3002\u7406\u7531\u3068\u3057\u3066\u3001\u7af6\u4e89\u306e\u5f53\u521d\u306e\u610f\u56f3 –  RSA\u306e\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u306e\u63d0\u793a – \u304c\u4eca\u3067\u306f\u5341\u5206\u306b\u660e\u3089\u304b\u306b\u3055\u308c\u3066\u3044\u308b\u3068\u8a00\u308f\u308c\u3066\u3044\u307e\u3059\u3002 \u5168\u4f53\u3068\u3057\u3066\u3001RSA\u30bb\u30ad\u30e5\u30ea\u30c6\u30a3\u306f\u3001\u3053\u306e\u7af6\u4e89\u306e\u4e00\u74b0\u3068\u3057\u306630,100\u30c9\u30eb\u76f8\u5f53\u306e\u4fa1\u683c\u3092\u652f\u6255\u3044\u307e\u3057\u305f\u3002 \u2191  Challenge-administrator@majordomo.rsasecurity.com\u304b\u3089\u3002 \u306e\uff1a ontko.com\u3002 Ray Online\uff06Company\u300130\u3002Januar2002\u3001 2022\u5e744\u670829\u65e5\u306b\u30a2\u30af\u30bb\u30b9 \uff08\u82f1\u8a9e\uff09\u3002   \u2191  RSA-768\u306e\u56e0\u6570\u5206\u89e3\u306e\u767a\u8868\u3002 \u306e\uff1a documents.epfl\u3002 \u30ed\u30fc\u30b6\u30f3\u30cc\u306e\u9023\u90a6\u5de5\u79d1\u5927\u5b66\u3001 2022\u5e744\u670829\u65e5\u306b\u30a2\u30af\u30bb\u30b9 \uff08\u82f1\u8a9e\uff09\u3002         (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/6889#breadcrumbitem","name":"RSA\u30d5\u30a1\u30af\u30bf\u30ea\u30f3\u30b0\u30c1\u30e3\u30ec\u30f3\u30b8 – \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2"}}]}]