유한 비가환군을 이용한 공개키 암호 시스템
    1.
    发明授权
    유한 비가환군을 이용한 공개키 암호 시스템 失效
    应用程序可以在任何系统上运行

    公开(公告)号:KR100395158B1

    公开(公告)日:2003-08-19

    申请号:KR1020010041839

    申请日:2001-07-12

    CPC classification number: H04L9/3013 H04L9/3247 H04L2209/08

    Abstract: The present invention relates to a method of encryption and decryption comprises the steps of: selecting a generator and a first element of a first non abelian group, respectively, computing a first inner automorphism which is used as a first public key, and generating a second public key by using a secret key being a first integer and the first public key; expressing a plain text by a product of generator of a second non abelian group, computing a second inner automorphism by using an arbitrary second integer and the first public key, computing a third inner automorphism by using the second integer and the second public key, and generating a ciphertext by using the third inner automorphism; and generating a fourth inner automorphism by using the secret key and the second inner automorphism, and decrypting the ciphertext by using the fourth inner automorphism.

    Abstract translation: 加密和解密的方法本发明涉及一种加密和解密的方法,该方法包括以下步骤:分别选择第一非阿贝尔群组的发生器和第一元件,计算用作第一公共密钥的第一内自同构,以及产生第二 通过使用作为第一整数和第一公共密钥的秘密密钥的公共密钥; 通过第二非阿贝尔群组的生成器的乘积来表达明文,通过使用任意第二整数和第一公钥来计算第二内自同构,通过使用第二整数和第二公钥来计算第三内自同构,以及 通过使用第三内自同构生成密文; 并通过使用所述秘密密钥和所述第二内自同构生成第四内自同构,并且通过使用所述第四内自同构对所述密文进行解密。

    국소 시각을 이용한 수열의 랜덤성 검정 방법
    2.
    发明公开
    국소 시각을 이용한 수열의 랜덤성 검정 방법 失效
    使用当地时间测试数字序列的随机方法

    公开(公告)号:KR1020030013558A

    公开(公告)日:2003-02-15

    申请号:KR1020010047623

    申请日:2001-08-08

    Abstract: PURPOSE: A method for testing a random of a sequence of numbers using a local time is provided to test a random of a sequence of numbers statistically and calculate statistics with respect to the total length of taken statistics sequence of numbers by constituting a random walk from a sample sequence of numbers, calculating a local time therefrom, and judging whether the local time is accorded with a limit theorem based on an invariance principle of a random theory. CONSTITUTION: A sample sequence of numbers(S) having a predetermined length(n) and a significant level is inputted(S10). A random variable sequence of numbers(Xi) is calculated from the sample sequence of numbers(S)(S20). A random walk(Wk) is calculated from the sample sequence of numbers(S)(S30). A local time(L) of the random walk(Wk) is calculated(S40). A discrimination value(D) is calculated for discriminating a statistical random characteristic of the sample sequence of numbers(S) from the calculated local time(L)(S50). The calculated discrimination value(D) is compared with the significant level for judging a random characteristic of the sample sequence of numbers(S)(S60).

    Abstract translation: 目的:提供一种使用本地时间对数字序列随机进行测试的方法,以对统计学上的序列序列进行随机测试,并通过构成随机步行从数据的统计序列的总长度计算统计数据 一个数字的样本序列,从中计算一个本地时间,并根据一个随机理论的不变性原理判断本地时间是否符合极限定理。 构成:输入具有预定长度(n)和有效电平的数字(S)的采样序列(S10)。 从数字(S)的采样序列算出数字(Xi)的随机变量序列(S20)。 从数字(S)的采样序列计算随机游走(Wk)(S30)。 计算随机游走的当地时间(L)(Wk)(S40)。 计算用于从计算出的本地时间(L)中区分数字(S)的采样序列的统计随机特性的鉴别值(D)(S50)。 将计算出的辨别值(D)与用于判断数字(S)的样本序列的随机特征的显着水平进行比较(S60)。

    국소 시각을 이용한 수열의 랜덤성 검정 방법
    3.
    发明授权
    국소 시각을 이용한 수열의 랜덤성 검정 방법 失效
    국소시각을이용한수열의랜덤성검정방법

    公开(公告)号:KR100403052B1

    公开(公告)日:2003-10-23

    申请号:KR1020010047623

    申请日:2001-08-08

    Abstract: PURPOSE: A method for testing a random of a sequence of numbers using a local time is provided to test a random of a sequence of numbers statistically and calculate statistics with respect to the total length of taken statistics sequence of numbers by constituting a random walk from a sample sequence of numbers, calculating a local time therefrom, and judging whether the local time is accorded with a limit theorem based on an invariance principle of a random theory. CONSTITUTION: A sample sequence of numbers(S) having a predetermined length(n) and a significant level is inputted(S10). A random variable sequence of numbers(Xi) is calculated from the sample sequence of numbers(S)(S20). A random walk(Wk) is calculated from the sample sequence of numbers(S)(S30). A local time(L) of the random walk(Wk) is calculated(S40). A discrimination value(D) is calculated for discriminating a statistical random characteristic of the sample sequence of numbers(S) from the calculated local time(L)(S50). The calculated discrimination value(D) is compared with the significant level for judging a random characteristic of the sample sequence of numbers(S)(S60).

    Abstract translation: 目的:提供一种使用本地时间测试数字序列的随机数的方法,以统计测试数字序列的随机数,并通过构成从数字序列的总长度计算统计数字序列 一个数字样本序列,从中计算出一个局部时间,并根据随机理论的不变原理判断局部时间是否符合极限定理。 构成:输入具有预定长度(n)和有效水平的数字(S)的样本序列(S10)。 从数字(S)的样本序列计算随机可变数字序列(Xi)(S20)。 从样本序列号(S)计算随机游走(Wk)(S30)。 计算随机游走(Wk)的本地时间(L)(S40)。 计算鉴别值(D),用于从计算的本地时间(L)中辨别样本数字序列(S)的统计随机特征(S50)。 将计算出的鉴别值(D)与用于判定数字样本序列(S)的随机特征的显着水平进行比较(S60)。

    유한 비가환군을 이용한 공개키 암호 시스템
    4.
    发明公开
    유한 비가환군을 이용한 공개키 암호 시스템 失效
    使用有限的非ABELIAN组生成公共关键的方法

    公开(公告)号:KR1020030008037A

    公开(公告)日:2003-01-24

    申请号:KR1020010041839

    申请日:2001-07-12

    CPC classification number: H04L9/3013 H04L9/3247 H04L2209/08

    Abstract: PURPOSE: A public key generating method is provided to be capable of stably maintaining groups and keys by utilizing discrete logarithm problem(DLP) using automorphism of finite non abelian groups. CONSTITUTION: A public key generating method comprises selecting a prime-number value(p)(S11), selecting finite non abelian groups(G)(S12), selecting a generator of the finite non abelian groups(G), selecting a group(g) being large prime number(p) when a selected generator is a center group(S13), calculating inner automorphism(Inn(g)) for a given group(S14), and establishing the first integer(a) less than the prime-number value(p) as a secret number(S15, S16), wherein a public key is established by the second public key(Inn(g)) using the inner automorphism and the secret key(a).

    Abstract translation: 目的:提供一种公钥生成方法,通过利用有限非阿贝尔组的自相似性,利用离散对数问题(DLP),能够稳定地维护组和密钥。 构成:公开密钥生成方法包括选择素数值(p)(S11),选择有限非阿贝尔组(G)(S12),选择有限非阿贝尔组(G)的生成器,选择组( g)当所选择的发生器是中心组时(S13)为大质数(p),计算给定组的内部自同(Inn(g))(S14),并建立小于初始值的第一整数(a) - 数值(p)作为秘密号码(S15,S16),其中使用内部自相位和秘密密钥(a)通过第二公钥(Inn(g))建立公开密钥。

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