DIGITAL SIGNATURE GENERATION APPARATUS, DIGITAL SIGNATURE VERIFICATION APPARATUS, AND KEY GENERATION APPARATUS
    2.
    发明申请
    DIGITAL SIGNATURE GENERATION APPARATUS, DIGITAL SIGNATURE VERIFICATION APPARATUS, AND KEY GENERATION APPARATUS 失效
    数字签名生成装置,数字签名验证装置和主要生成装置

    公开(公告)号:US20120011369A1

    公开(公告)日:2012-01-12

    申请号:US13241374

    申请日:2011-09-23

    IPC分类号: H04L9/00

    摘要: A digital signature generation apparatus includes memory to store finite field Fq and section D(ux(s, t), uy(s, t), s, t) as secret key, section being one of surfaces of three-dimensional manifold A(x, y, s, t) which is expressed by x-coordinate, y-coordinate, parameter s, and parameter t and is defined on finite field Fq, x-coordinate and y-coordinate of section being expressed by functions of parameter s and parameter t, calculates hash value of message m, generates hash value polynomial by embedding hash value in 1-variable polynomial h(t) defined on finite field Fq, and generates digital signature Ds(Ux(t), Uy(t), t) which is curve on section, the x-coordinate and y-coordinate of curve being expressed by functions of parameter t, by substituting hash value polynomial in parameter s of section.

    摘要翻译: 数字签名生成装置包括存储器,用于存储有限域Fq和区段D(ux(s,t),uy(s,t),s,t)作为秘密密钥,区段是三维歧管A的表面之一 x,y,s,t),由x坐标,y坐标,参数s和参数t表示,并定义在有限域Fq,x坐标和y坐标的区间由参数s的函数表示 和参数t计算消息m的哈希值,通过在有限域Fq上定义的1变量多项式h(t)中嵌入哈希值来生成哈希值多项式,生成数字签名Ds(Ux(t),Uy(t) t),曲线的x坐标和y坐标由参数t的函数表示,通过在段的参数s中代入散列值多项式。

    ENCRYPTION APPARATUS, DECRYPTION APPARATUS, KEY GENERATION APPARATUS, AND PROGRAM
    5.
    发明申请
    ENCRYPTION APPARATUS, DECRYPTION APPARATUS, KEY GENERATION APPARATUS, AND PROGRAM 审中-公开
    加密设备,分解设备,主要生成设备和程序

    公开(公告)号:US20100329447A1

    公开(公告)日:2010-12-30

    申请号:US12266027

    申请日:2008-11-06

    IPC分类号: H04L9/28

    摘要: An encryption apparatus includes a plaintext embedding unit that embeds a message m as a coefficient of a three-variable plaintext polynomial m(x,y,t), an identification polynomial generating unit that generates a three-variable identification polynomial f(x,y,t), a polynomial generating unit that randomly generates three-variable polynomials r1(x,y,t), r2(x,y,t), s1(x,y,t), and s2(x,y,t), and an encrypting unit that generates encrypted texts F1 and F2 by performing an arithmetic operation with respect to these three-variable polynomials.

    摘要翻译: 一种加密装置包括:将消息m嵌入作为三变量明文多项式m(x,y,t)的系数的明文嵌入单元,生成三变量识别多项式f(x,y,t)的识别多项式生成单元 (x,y,t),s1(x,y,t)和s2(x,y,t)的多项式生成单元,其随机生成三变多项式r1(x,y,t),r2 )以及通过对这三个可变多项式执行算术运算来生成加密文本F1和F2的加密单元。

    ENCRYPTION APPARATUS, DECRYPTION APPARATUS, KEY GENERATION APPARATUS, AND STORAGE MEDIUM
    6.
    发明申请
    ENCRYPTION APPARATUS, DECRYPTION APPARATUS, KEY GENERATION APPARATUS, AND STORAGE MEDIUM 失效
    加密设备,分解设备,主要生成设备和存储介质

    公开(公告)号:US20100226496A1

    公开(公告)日:2010-09-09

    申请号:US12560895

    申请日:2009-09-16

    IPC分类号: H04L9/14 H04L9/00

    摘要: A decryption apparatus includes a section assignment unit which assigns a section D to a plurality of encrypted texts Fi(x,y,t) (i=1, . . . , k), a one-variable polynomial arithmetic unit which subtracts L pairs of polynomials he(t) and hw(t) after the assignment, and a greatest common divisor arithmetic unit which obtains the greatest common divisor φ(t) of L polynomials gj(t)(=he(t)−hw(t)) (j=1, . . . , L) as a result of the subtraction.

    摘要翻译: 解密装置包括:区段分配单元,其向多个加密文本Fi(x,y,t)(i = 1,...,k)分配区间D,减去L对的单变量多项式运算单元 分配后的多项式he(t)和hw(t)和最大公因数运算单元,其获得L个多项式gj(t)(= he(t)-hw(t))的最大公约数& ))(j = 1,...,L)作为减法的结果。

    Fuel cell, electrode for fuel cell and a method of manufacturing the same
    8.
    发明授权
    Fuel cell, electrode for fuel cell and a method of manufacturing the same 有权
    燃料电池,燃料电池用电极及其制造方法

    公开(公告)号:US07189472B2

    公开(公告)日:2007-03-13

    申请号:US10107412

    申请日:2002-03-28

    IPC分类号: H01M4/86 H01M4/88 H01M4/96

    摘要: An electrode for a fuel cell, including a porous catalytic carrier including conductive fibers having two particle diameter distribution peaks of a first particle diameter distribution peak existing at a small particle diameter side and a second particle diameter distribution peak existing at a large particle diameter side, wherein said conducting fibers are carbon nano-fibers formed from a catalyst for formation prepared by preparing a mixed powder including one or more of a reducible metallic oxide powder and a non-reducible metallic oxide powder, mixing and pulverizing the mixed powder, and heating the mixed powder under reducing atmosphere; catalyst to be carried on said conductive fibers belonging to the first particle diameter distribution peak; and a proton conductive material adhered on surface of at least the conducive fibers belonging to the first particle diameter distribution peak, so as to come into contact with the catalyst.

    摘要翻译: 一种燃料电池用电极,其包括多孔催化剂载体,所述多孔催化剂载体包含具有存在于小粒径侧的第一粒径分布峰的两个粒径分布峰和存在于大粒径侧的第二粒径分布峰的导电性纤维, 其中所述导电纤维是由用于形成的催化剂形成的碳纳米纤维,其通过制备包含一种或多种可还原的金属氧化物粉末和不可还原的金属氧化物粉末的混合粉末,将混合粉末混合并粉碎, 在还原气氛下混合粉末; 催化剂承载在属于第一粒径分布峰的所述导电纤维上; 以及附着在属于第一粒径分布峰的至少导电纤维的表面上的质子传导材料,以与催化剂接触。