[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/14298#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/14298","headline":"\u30a8\u30eb\u30ac\u30de\u30eb &#8211; \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","name":"\u30a8\u30eb\u30ac\u30de\u30eb &#8211; \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178","description":"before-content-x4 \u3053\u306e\u8a18\u4e8b\u3067\u306f\u30012012 &#8211; 12\u5e74\u304b\u3089\u63d0\u4f9b\u3055\u308c\u305f\u60c5\u5831\u306e\u691c\u8a3c\u304c\u5fc5\u8981\u3067\u3059\u3002 \u4fe1\u983c\u3067\u304d\u308b\u60c5\u5831\u6e90\u306f\u3001\u597d\u307e\u3057\u304f\u306f\u66f8\u8a8c\u7684\u306a\u811a\u6ce8\u306e\u5f62\u3067\u4e0e\u3048\u3089\u308c\u308b\u3079\u304d\u3067\u3059\u3002 \u8a18\u4e8b\u306e\u4e00\u90e8\u307e\u305f\u306f\u3059\u3079\u3066\u306e\u60c5\u5831\u3067\u3055\u3048\u3001\u771f\u5b9f\u3067\u306f\u306a\u3044\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u30bd\u30fc\u30b9\u3092\u6b20\u3044\u3066\u3044\u308b\u3088\u3046\u306b\u3001\u305d\u308c\u3089\u306f\u6311\u6226\u3057\u3066\u524a\u9664\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002 \u3053\u306e\u8a18\u4e8b\u306e\u8b70\u8ad6\u306b\u306f\u3001\u4f55\u3092\u4fee\u6b63\u3059\u3079\u304d\u304b\u306b\u3064\u3044\u3066\u306e\u3088\u308a\u8a73\u7d30\u306a\u60c5\u5831\u304c\u3042\u308a\u307e\u3059\u3002 \u6b20\u9665\u3092\u6392\u9664\u3057\u305f\u5f8c\u3001\u3053\u306e\u8a18\u4e8b\u304b\u3089\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8{{refine}}\u3092\u524a\u9664\u3057\u307e\u3059\u3002 \u30a8\u30eb\u30ac\u30de\u30eb \u3053\u308c\u306f\u3001\u6700\u3082\u91cd\u8981\u306a\u975e\u5bfe\u79f0\u6697\u53f7\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e2\u3064\u306e1\u3064\u3067\u3059\uff08RSA\u306e\u96a3\uff09\u3002\u3053\u306e\u30b7\u30b9\u30c6\u30e0\u306f\u3001Modulo\u306e\u6574\u6570\u306e\u672c\u6587\u306b\u304a\u3051\u308b\u96e2\u6563\u5bfe\u6570\u554f\u984c\u306e\u96e3\u3057\u3055\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002 1980\u5e74\u4ee3\u534a\u3070\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u30a8\u30b8\u30d7\u30c8\u306e\u30bf\u30fc\u30cf\u30fc\u30fb\u30a8\u30eb\u30ac\u30de\u30eb\u306b\u3088\u3063\u3066\u63d0\u793a\u3055\u308c\u307e\u3057\u305f [\u521d\u3081] \u3002 after-content-x4 Elgamala\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308a\u3001\u30c7\u30b8\u30bf\u30eb\u7f72\u540d\u306e\u6697\u53f7\u5316\u3068\u52d5\u4f5c\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002 Elgamal\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6570\u767e\u306e\u5909\u66f4\uff08RSA\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u5909\u66f4\u3068\u540c\u69d8\uff09\u306b\u306f\u3001\u4ed6\u306e\u3055\u307e\u3056\u307e\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308a\u307e\u3059\u3002 \u30a8\u30eb\u30ac\u30de\u30eb\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6982\u5ff5\u306f\u3001\u6955\u5186\u66f2\u7dda\u306e\u6697\u53f7\u5316\u306b\u3082\u57fa\u3065\u3044\u3066\u3044\u307e\u3059 &#8211; \u3053\u306e\u5834\u5408\u3001\u4e57\u6cd5\u30b0\u30eb\u30fc\u30d7\u306e\u4ee3\u308f\u308a\u306b after-content-x4","datePublished":"2020-11-22","dateModified":"2020-11-22","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/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:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/6\/64\/Question_book-4.svg\/50px-Question_book-4.svg.png","url":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/6\/64\/Question_book-4.svg\/50px-Question_book-4.svg.png","height":"39","width":"50"},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/14298","wordCount":6287,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4\u3053\u306e\u8a18\u4e8b\u3067\u306f\u30012012  &#8211;  12\u5e74\u304b\u3089\u63d0\u4f9b\u3055\u308c\u305f\u60c5\u5831\u306e\u691c\u8a3c\u304c\u5fc5\u8981\u3067\u3059\u3002 \u4fe1\u983c\u3067\u304d\u308b\u60c5\u5831\u6e90\u306f\u3001\u597d\u307e\u3057\u304f\u306f\u66f8\u8a8c\u7684\u306a\u811a\u6ce8\u306e\u5f62\u3067\u4e0e\u3048\u3089\u308c\u308b\u3079\u304d\u3067\u3059\u3002 \u8a18\u4e8b\u306e\u4e00\u90e8\u307e\u305f\u306f\u3059\u3079\u3066\u306e\u60c5\u5831\u3067\u3055\u3048\u3001\u771f\u5b9f\u3067\u306f\u306a\u3044\u5834\u5408\u304c\u3042\u308a\u307e\u3059\u3002\u30bd\u30fc\u30b9\u3092\u6b20\u3044\u3066\u3044\u308b\u3088\u3046\u306b\u3001\u305d\u308c\u3089\u306f\u6311\u6226\u3057\u3066\u524a\u9664\u3055\u308c\u308b\u53ef\u80fd\u6027\u304c\u3042\u308a\u307e\u3059\u3002 \u3053\u306e\u8a18\u4e8b\u306e\u8b70\u8ad6\u306b\u306f\u3001\u4f55\u3092\u4fee\u6b63\u3059\u3079\u304d\u304b\u306b\u3064\u3044\u3066\u306e\u3088\u308a\u8a73\u7d30\u306a\u60c5\u5831\u304c\u3042\u308a\u307e\u3059\u3002 \u6b20\u9665\u3092\u6392\u9664\u3057\u305f\u5f8c\u3001\u3053\u306e\u8a18\u4e8b\u304b\u3089\u30c6\u30f3\u30d7\u30ec\u30fc\u30c8{{refine}}\u3092\u524a\u9664\u3057\u307e\u3059\u3002 \u30a8\u30eb\u30ac\u30de\u30eb \u3053\u308c\u306f\u3001\u6700\u3082\u91cd\u8981\u306a\u975e\u5bfe\u79f0\u6697\u53f7\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e2\u3064\u306e1\u3064\u3067\u3059\uff08RSA\u306e\u96a3\uff09\u3002\u3053\u306e\u30b7\u30b9\u30c6\u30e0\u306f\u3001Modulo\u306e\u6574\u6570\u306e\u672c\u6587\u306b\u304a\u3051\u308b\u96e2\u6563\u5bfe\u6570\u554f\u984c\u306e\u96e3\u3057\u3055\u306b\u57fa\u3065\u3044\u3066\u3044\u307e\u3059\u3002 1980\u5e74\u4ee3\u534a\u3070\u306e\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u30a8\u30b8\u30d7\u30c8\u306e\u30bf\u30fc\u30cf\u30fc\u30fb\u30a8\u30eb\u30ac\u30de\u30eb\u306b\u3088\u3063\u3066\u63d0\u793a\u3055\u308c\u307e\u3057\u305f [\u521d\u3081] \u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4Elgamala\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306b\u3088\u308a\u3001\u30c7\u30b8\u30bf\u30eb\u7f72\u540d\u306e\u6697\u53f7\u5316\u3068\u52d5\u4f5c\u304c\u53ef\u80fd\u306b\u306a\u308a\u307e\u3059\u3002 Elgamal\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6570\u767e\u306e\u5909\u66f4\uff08RSA\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u5909\u66f4\u3068\u540c\u69d8\uff09\u306b\u306f\u3001\u4ed6\u306e\u3055\u307e\u3056\u307e\u306a\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u304c\u3042\u308a\u307e\u3059\u3002 \u30a8\u30eb\u30ac\u30de\u30eb\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u6982\u5ff5\u306f\u3001\u6955\u5186\u66f2\u7dda\u306e\u6697\u53f7\u5316\u306b\u3082\u57fa\u3065\u3044\u3066\u3044\u307e\u3059 &#8211; \u3053\u306e\u5834\u5408\u3001\u4e57\u6cd5\u30b0\u30eb\u30fc\u30d7\u306e\u4ee3\u308f\u308a\u306b        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u3068 p {displaystyle z_ {p}} \u6955\u5186\u66f2\u7dda\u3067\u30dd\u30a4\u30f3\u30c8\u306e\u30b0\u30eb\u30fc\u30d7\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002 \u30ad\u30fc\u751f\u6210 \uff1a\u6700\u521d\u306e\u756a\u53f7\u3092\u9078\u629e\u3057\u307e\u3059 p \u3001 {displaystyle p\u3001} \u4efb\u610f\u306e\u30b8\u30a7\u30cd\u30ec\u30fc\u30bf\u30fc a {displaystyle alpha} \u4e57\u7b97\u30b5\u30d6\u30b0\u30eb\u30fc\u30d7\u3001\u3064\u307e\u308a\u3001\u653f\u5e9c\u304c\u5e73\u7b49\u306a\u305d\u306e\u3088\u3046\u306a\u8981\u7d20        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4p  &#8211;  \u521d\u3081 \u3001 {displaystyle p-1\u3001} \u305d\u3057\u3066\u4efb\u610f k {displaystyle k} \u305d\u306e\u3088\u3046\u306a\uff1a \u521d\u3081 < k < p \u3002 {displaystyle 1 =\u03b1kmodp,{displaystyle beta = alpha ^{k} mod p\u3001} \u6b63\u65b9\u5f62\u306b\u6301\u3061\u4e0a\u3052\u308b\u3053\u3068\u3067\u5897\u52a0\u3059\u308b\u3053\u3068\u3067\u8fc5\u901f\u306b\u3067\u304d\u308b\u3053\u3068\u3002 \u3082\u3057\u3082 a {displaystyle alpha} \u305f\u3068\u3048\u3070\u3001\u4ee5\u4e0b\u306e\u305f\u3081\u306b\u7121\u6599\u3067\u3057\u305f\u3002 p=41,\u00a0\u03b1=14,\u00a0k=16{displaystyle p = 41\u3001alpha = 14\u3001k = 16} \u79c1\u305f\u3061\u306f\u53d7\u3051\u53d6\u308a\u307e\u3059\uff1a \u03b2=1416mod\u00a041=1,{displaystyle beta = 14^{16} mod 41 = 1\u3001} \u6697\u53f7\u30b7\u30b9\u30c6\u30e0\u306f\u5f79\u306b\u7acb\u305f\u306a\u304f\u306a\u308a\u307e\u3059\uff08\u6697\u53f7\u5316\u6642\u306b\u5e38\u306b1\u3092\u53d7\u3051\u53d6\u308b\u305f\u3081\uff09\u3002 \u6b21\u306b\u3001\u516c\u958b\u3057\u307e\u3059 \uff08 p \u3001 a \u3001 b \uff09\uff09 {displaystyle\uff08p\u3001alpha\u3001beta\uff09} \u516c\u958b\u9375\u3068\u3057\u3066\u3001\u305d\u3057\u3066\u79c1\u305f\u3061\u306f\u7dad\u6301\u3057\u307e\u3059 \uff08 p \u3001 a \u3001 b \u3001 k \uff09\uff09 {displayStyle\uff08P\u3001Alpha\u3001Beta\u3001K\uff09} \u79d8\u5bc6\u9375\u3068\u3057\u3066\u3002 \u6697\u53f7\u5316 \uff1a\u6697\u53f7\u5316\u3059\u308b\u30e1\u30c3\u30bb\u30fc\u30b8\u304c\u3042\u308a\u307e\u3059 m \u3001 {displaystyle m\u3001} \u30b0\u30eb\u30fc\u30d7\u306e\u4e00\u90e8\u3068\u3057\u3066\u63d0\u793a\u3057\u307e\u3059[ \u521d\u3081 < m < p  &#8211;  \u521d\u3081 {displaystyle 1 \u03b2x).{displaystyle\uff08alpha ^{x}\u3001mtimes beta ^{x}\uff09\u3002} \u5fa9\u53f7\u5316 \uff1a\u53d7\u3051\u53d6\u3063\u305f\u3082\u306e\u3092\u4e0a\u3052\u307e\u3059 a \u30d0\u30c4 {displaystyle alpha ^{x}} \u306e\u529b\u306b k \uff1a {displaystyle k {\uff1a}}  (\u03b1x)k=\u03b1kx=(\u03b1k)x=\u03b2x.{displaystyle left\uff08alpha ^{x}\u53f3\uff09 ^{k} = alpha ^{kx} =\u5de6\uff08alpha ^{k}\u53f3\uff09 ^{x} = beta ^{x}\u3002} \u305d\u306e\u5f8c\u3001\u53cd\u5bfe\u3092\u898b\u3064\u3051\u307e\u3059 b \u30d0\u30c4 {displaystyle beta ^{x}} \uff08Nadal\u30e2\u30b8\u30e5\u30fc\u30eb p {displaystyle p} \uff09\uff09\u62e1\u5f35\u30e6\u30fc\u30af\u30ea\u30c9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\uff1a \u03b3\u03b2x+\u03b4p=1,{displaystyle\u30ac\u30f3\u30de\u30d9\u30fc\u30bf ^{x}+delta p = 1\u3001} \u03b3\u03b2x\u22611modp,{displaystyle\u30ac\u30f3\u30de\u30d9\u30fc\u30bf ^{x} equiv 1mod p\u3001} \u03b3\u2261(\u03b2x)\u22121modp.{displaystyle\u30ac\u30f3\u30deequiv\uff08beta ^{x}\uff09 ^{-1} mod p\u3002} \u3064\u3044\u306b\u5206\u5272\u3057\u307e\u3059 m \u00d7 b \u30d0\u30c4 {displaystyle mtimes beta ^{x}} \u306b b \u30d0\u30c4 \u3001 {displaystyle beta ^{x}\u3001} \u3064\u307e\u308a\u3001\u79c1\u305f\u3061\u306f\u5f7c\u5973\u306e\u9006\u304b\u3089\u639b\u3051\u307e\u3059 &#8211;  c \uff1a {displaystyle\u30ac\u30f3\u30de{\uff1a}}  (m\u00d7\u03b2x)\u00d7\u03b3\u2261m\u00d7(\u03b2x\u00d7\u03b3)\u2261m\u00d71\u2261mmodp.{displayStyle\uff08mtimes beta ^{x}\uff09\u30bf\u30a4\u30e0\u30ac\u30f3\u30deequiv mtimes\uff08beta ^{x} times gamma\uff09equiv mtimes 1 equiv mmod p\u3002} \u30ad\u30fc\u306f\u540c\u3058\u65b9\u6cd5\u3067\u751f\u6210\u3055\u308c\u307e\u3059\u3002 \u30e1\u30c3\u30bb\u30fc\u30b8\u306e\u7f72\u540d\u3092\u751f\u6210\u3057\u307e\u3059 m \u3001 {displaystyle m\u3001} \u756a\u53f7\u3092\u63cf\u304d\u307e\u3059 r {displaystyle r} \u305d\u3057\u3066\u3001\u79c1\u305f\u3061\u306f\u6570\u3048\u307e\u3059\uff1a y=\u03b1r{displaystyle y = alpha ^{r}} \uff08P\u306b\u5411\u304b\u3063\u3066\uff09 \u3001 s=(H(m)\u2212ky)r\u22121{displaystyle s =\uff08h\uff08m\uff09-ky\uff09r^{ &#8211;  1}} \uff08 \uff08P-1\uff09\u306b\u5bfe\u3057\u3066\uff09 \u3001 \u3069\u3053 H{displaystyle h} \u30cf\u30c3\u30b7\u30e5\u95a2\u6570\u3067\u3059\u3002 \u7f72\u540d\u306f\u30ab\u30c3\u30d7\u30eb\u3067\u3059 \uff08 \u3068 \u3001 s \uff09\uff09 {displaystyle\uff08y\u3001s\uff09}  \u7f72\u540d\u3092\u78ba\u8a8d\u3059\u308b\u306b\u306f\u3001\u65b9\u7a0b\u5f0f\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002 \u03b2yys=\u03b1H(m).{displaystyle beta ^{y} y ^{s} = alpha ^{h\uff08m\uff09}\u3002} \u6b63\u3057\u3044\u7f72\u540d\u306e\u5834\u5408\u3001\u305d\u308c\u306f\u4e00\u81f4\u3057\u307e\u3059\uff1a \u03b1ky\u03b1rs=\u03b1H(m),{displaystyle alpha ^{ky} alpha ^{rs} = alpha ^{h\uff08m\uff09}\u3001} \u03b1ky+r((H(m)\u2212ky)r\u22121)=\u03b1H(m),{displaystyle alpha ^{ky+rleft\uff08\uff08h\uff08m\uff09-ky\uff09r ^{ &#8211;  1} right\uff09} = alpha ^{h\uff08m\uff09}\u3001} \u03b1ky+H(m)\u2212ky=\u03b1H(m),{displaystyle alpha ^{ky+h\uff08m\uff09-ky} = alpha ^{h\uff08m\uff09}\u3001} \u03b1H(m)=\u03b1H(m).{displaystyle alpha ^{h\uff08m\uff09} = alpha ^{h\uff08m\uff09}\u3002} \u8981\u6c42\u3055\u308c\u305f\u4eba\u306e\u79d8\u5bc6\u3092\u7dad\u6301\u3059\u308b\u3053\u3068\u304c\u91cd\u8981\u3067\u3059 r \u3002 {displaystyle r\u3002} \u3082\u3057\u3082 r {displaystyle r} \u305d\u308c\u306f\u77e5\u3089\u308c\u3066\u3044\u308b\u3067\u3057\u3087\u3046\u3001\u3042\u306a\u305f\u306f\u7f72\u540d\u304b\u3089\u79d8\u5bc6\u9375\u3092\u56de\u5fa9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\uff1a y\u22121(H(m)\u2212sr)=y\u22121(H(m)\u2212(H(m)\u2212ky)r\u22121r)=y\u22121ky=k.{displaystyle y^{ &#8211;  1}\u5de6\uff08h\uff08m\uff09-sright\uff09= y^{-1}\u5de6\uff08h\uff08m\uff09 &#8211; \uff08h\uff08m\uff09 &#8211;  ky\uff09r^{-1} right\uff09= y^{ &#8211;  1} ky = k\u3002} \u4e57\u6cd5\u30b0\u30eb\u30fc\u30d7\u306e\u653f\u5e9c\u304c\u6700\u521d\u306e\u6570\u5b57\u306e\u7523\u7269\u3067\u3042\u308a\u3001\u305d\u306e\u4e2d\u3067\u3082\u5341\u5206\u306b\u5927\u304d\u304f\u306a\u3044\u5834\u5408\u3001\u6307\u6570\u3092\u8a08\u7b97\u3059\u308b\u52b9\u679c\u7684\u306a\u65b9\u6cd5\u304c\u3042\u308a\u307e\u3059\u3002\u96e2\u6563\u5bfe\u6570\u3092\u8fc5\u901f\u306b\u30ab\u30a6\u30f3\u30c8\u3059\u308b\u4e00\u822c\u7684\u306a\u65b9\u6cd5\u306f\u4e0d\u660e\u3067\u3042\u308b\u305f\u3081\u3001\u4f7f\u7528\u65b9\u6cd5\u304c\u308f\u304b\u308a\u307e\u305b\u3093 a \u30d0\u30c4 {displaystyle alpha ^{x}} \u79c1 a {displaystyle alpha} \u5165\u624b \u30d0\u30c4 \u3001 {displaystyle x\u3001} \u30e1\u30c3\u30bb\u30fc\u30b8\u3092\u5fa9\u53f7\u5316\u3059\u308b\u306e\u306b\u5341\u5206\u3067\u3059\u3002\u305f\u3060\u3057\u3001\u305d\u306e\u3088\u3046\u306a\u3082\u306e\u304c\u5b58\u5728\u3057\u306a\u3044\u3068\u3044\u3046\u8a3c\u62e0\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u5f8c\u8005\u306f\u9a5a\u304f\u3053\u3068\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u306a\u305c\u306a\u3089\u3001\u65e2\u77e5\u306e\u975e\u5bfe\u79f0\u30b3\u30fc\u30c9\u306b\u306f\u305d\u306e\u3088\u3046\u306a\u8a3c\u62e0\u304c\u306a\u3044\u304b\u3089\u3067\u3059\u3002 \u305f\u3060\u3057\u3001\u96e2\u6563\u5bfe\u6570\u306e\u554f\u984c\u3092\u7834\u308b\u3053\u3068\u304c\u3053\u306e\u30b3\u30fc\u30c9\u3092\u7834\u308b\u552f\u4e00\u306e\u65b9\u6cd5\u3067\u3042\u308b\u3068\u3044\u3046\u8a3c\u62e0\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u304a\u305d\u3089\u304f\u3001\u77e5\u3063\u3066\u3044\u308b\u7c21\u5358\u306a\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u3042\u308a\u307e\u3059 a \u3001 {displaystyle alpha\u3001}  b \u3001 {displaystyle\u30d9\u30fc\u30bf\u3001}  p {displaystyle p} \u79c1 a \u30d0\u30c4 \u3001 {displaystyle alpha ^{x}\u3001}  m \u00d7 b \u30d0\u30c4 {displaystyle mtimes beta ^{x}} \uff08\u3059\u306a\u308f\u3061\u3001\u516c\u958b\u9375\u3068\u30e1\u30c3\u30bb\u30fc\u30b8\u306e\u30b7\u30d1\u30ed\u30b0\u30e9\u30e0\uff09\u3001\u56de\u5fa9\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059 m \u3001 {displaystyle m\u3001} \u4f55\u3089\u304b\u306e\u5f62\u3067\u3053\u306e\u554f\u984c\u3092\u795d\u3044\u307e\u3059\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\/wiki47\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki47\/archives\/14298#breadcrumbitem","name":"\u30a8\u30eb\u30ac\u30de\u30eb &#8211; \u30a6\u30a3\u30ad\u30da\u30c7\u30a3\u30a2\u3001\u7121\u6599\u200b\u200b\u767e\u79d1\u4e8b\u5178"}}]}]