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    • 3. 发明申请
    • COMPOUND GALOIS FIELD ENGINE AND GALOIS FIELD DIVIDER AND SQUARE ROOT ENGINE AND METHOD
    • 化合物GALOIS现场发动机和GALOIS现场分路器和平方根发动机和方法
    • WO2004105260A2
    • 2004-12-02
    • PCT/US2004/009536
    • 2004-03-29
    • ANALOG DEVICES, INC.STEIN, YosefKABLOTSKY, Joshua, A.
    • STEIN, YosefKABLOTSKY, Joshua, A.
    • H04B
    • G06F7/726G06F7/552G06F2207/5523
    • A Galois field divider engine and method inputs a 1 and a first Galois field element to a Galois field reciprocal generator to obtain an output, multiplies in a Galois field reciprocal generator a first Galois field element by a first element of the Galois field reciprocal generator for predicting the modulo remainder of the square of the polynomial product of an irreducible polynomial m-2 times where m is the degree of the Galois field to obtain the reciprocal of the first Galois field element, and multiplying in the Galois field reciprocal engine the reciprocal of the first Galois field element by a second Galois field element for predicting the modulo remainder of the polynomial product for an irreducible polynomial to obtain the quotient of the two Galois field elements in m cycles; in a broader sense the invention includes a compound Galois field engine for performing a succession of Galois field linear transforms on a succession of polynomial inputs to obtain an ultimate output where each input except the first is the output of the previous Galois field linear transform; Galois field square root is achieved by inputting a Galois field element to a Galois field square root generator to obtain an output which is squared in the Galois field square root generator to predict the modulo remainder of the square of the polynomial product of an irreducible polynomial m-1 times where m is the degree of the Galois field to obtain the square root of the Galois field to obtain the square root of the Galois field element in (m-1) cycles.
    • 伽罗瓦域除法器引擎和方法将1和第一伽罗瓦域元素输入到伽罗瓦域互逆发生器以获得输出,在伽罗瓦域互逆发生器中乘以伽罗瓦域互逆发生器的第一元素的第一伽罗瓦域元件, 预测不可约多项式m-2倍的多项式积的平方的模余数,其中m是伽罗瓦域获得第一伽罗瓦域元的倒数的程度,并且在伽罗瓦域互逆引擎中乘以 第一伽罗瓦域元素,用于预测用于不可约多项式的多项式积的模余数,以获得以m个周期的两个伽罗瓦域元素的商; 在更广泛的意义上,本发明包括用于在一系列多项式输入上执行伽罗瓦域线性变换的连续性以获得最终输出的复合Galois场引擎,其中除第一个之外的每个输入是先前伽罗瓦域线性变换的输出; 伽罗瓦域平方根通过将伽罗瓦域元素输入到伽罗瓦域平方根生成器来获得在伽罗瓦域平方根生成器中平方的输出,以预测不可约多项式m的多项式积的平方的模余数 -1次,其中m是伽罗瓦域的程度以获得伽罗瓦域的平方根,以获得(m-1)个周期中伽罗瓦域元素的平方根。
    • 5. 发明申请
    • ITERATIVE PROCESS WITH ROTATED ARCHITECTURE FOR REDUCED PIPELINE DEPENDENCY
    • 旋转结构的迭代过程减少了管道的依赖性
    • WO2008039321A2
    • 2008-04-03
    • PCT/US2007/020145
    • 2007-09-18
    • ANALOG DEVICES, INC.WILSON, JamesKABLOTSKY, JoshuaSTEIN, YosefMAYER, Christopher, M.
    • WILSON, JamesKABLOTSKY, JoshuaSTEIN, YosefMAYER, Christopher, M.
    • G06K9/36G06K9/46
    • H04N19/436H04N19/13H04N19/61
    • In a pipeline machine where, in an iterative process, one or more subsequent functions employ one or more parameters determined by one or more antecedent functions and the one or more subsequent functions generate one or more parameters for the one or more antecedent functions, pipeline dependency is reduced by advancing or rotating the iterative process by preliminarily providing to the subsequent function the next one or more parameters on which it is dependent and thereafter: generating by the subsequent function, in response to the one or more parameters on which is it dependent, the next one or more parameters required by the one or more antecedent functions and then, generating by the one or more antecedent functions, in response to the one or more parameters required by the one or more antecedent functions, the next one or more parameters for input to the subsequent function for the next iteration.
    • 在迭代过程中,在一个流水线机器中,一个或多个后续函数使用由一个或多个先行函数确定的一个或多个参数,并且该一个或多个后续函数生成一个或多个参数用于 一个或多个先行功能,通过预先向后续功能提供其所依赖的下一个或多个参数,并通过后续功能产生,通过前进或旋转迭代过程来减少流水线依赖性:响应于 其依赖于更多的参数,一个或多个先行功能所需的下一个或多个参数,然后由一个或多个先行功能产生,以响应于一个或多个先行功能所需的一个或多个参数 ,下一个或多个参数用于输入到下一次迭代的后续函数。