翻訳と辞書
Words near each other
・ Strong Nash equilibrium
・ Strong Notrump After Passing (SNAP)
・ Strong noun
・ Strong NP-completeness
・ Strong objectivity
・ Strong on Oaks, Strong on the Causes of Oaks
・ Strong operator topology
・ Strong orientation
・ Strong partition cardinal
・ Strong pass
・ Strong Peak
・ Strong perfect graph theorem
・ Strong Persuader
・ Strong Place
・ Strong Poison
Strong prime
・ Strong prior
・ Strong product of graphs
・ Strong programme
・ Strong pseudoprime
・ Strong Reaction
・ Strong reciprocity
・ Strong reference
・ Strong Republic Transit System
・ Strong River
・ Strong Rock Christian School
・ Strong RSA assumption
・ Strong salt
・ Strong School
・ Strong secrecy


Dictionary Lists
翻訳と辞書 辞書検索 [ 開発暫定版 ]
スポンサード リンク

Strong prime : ウィキペディア英語版
Strong prime
In mathematics, a strong prime is a prime number with certain special properties. The definitions of strong primes are different in cryptography and number theory.
== Definition in cryptography ==

In cryptography, a prime number p is ''strong'' if the following conditions are satisfied.〔Ron Rivest and Robert Silverman, ''Are 'Strong' Primes Needed for RSA?'', Cryptology ePrint Archive: Report 2001/007. http://eprint.iacr.org/2001/007〕
* p is sufficiently large to be useful in cryptography; typically this requires p to be too large for plausible computational resources to enable a cryptanalyst to factorise products of p multiplied by other strong primes.
* p-1 has large prime factors. That is, p = a_1 q_1 + 1 for some integer a_1 and large prime q_1.
* q_1-1 has large prime factors. That is, q_1 = a_2 q_2 + 1 for some integer a_2 and large prime q_2.
* p+1 has large prime factors. That is, p = a_3 q_3 - 1 for some integer a_3 and large prime q_3

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Strong prime」の詳細全文を読む



スポンサード リンク
翻訳と辞書 : 翻訳のためのインターネットリソース

Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.