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The data output manner in the linear feedback shift operation device, the communication device, the microprocessor, and the linear feedback shift operation device
The data output manner in the linear feedback shift operation device, the communication device, the microprocessor, and the linear feedback shift operation device
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机译:线性反馈移位运算装置,通信装置,微处理器和线性反馈移位运算装置中的数据输出方式
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摘要
A linear feedback shift calculation apparatus, into which input data is input, and which outputs output data, including: an L generation unit which generates q values of q0 to qN-2 represented by: q k = { p 0 ( k = 0 ) p k + ∑ i = 0 k - 1 ⁢ q k - 1 - i × p i ( 1 = k = N - 2 ) Equation ⁢ ⁢ 1 (where, p0, p1, . . . , pN-1, q0, q1, . . . , qN-2 belong to Galois field GF(2)) from coefficients p0 to pN-2 among inputted coefficients p-1 to pN-1 (wherein, N is a natural number of 2 or more); and a matrix calculation unit which outputs the output data calculated from the output data b0 to bN-1 represented by: ( b N - 1 b N - 2 ⋮ b o ) = L × ( U × ( a N - 1 a N - 2 ⋮ a 0 ) + p - 1 × ( a - 1 a - 2 ⋮ a - N ) ) Equation ⁢ ⁢ 2 and L = ( 1 0 ... 0 0 0 q 0 1 0 ... 0 0 q 1 q 0 1 0 ... 0 ⋮ ⋱ ⋱ ⋱ ⋮ q N - 3 q N - 4 ... q 0 1 0 q N - 2 q N - 3 ... q 1 q 0 1 ) Equation ⁢ ⁢ 3 U = ( p N - 1 p N - 2 ... p 2 p 1 p 0 0 p N - 1 p N - 2 ... p 2 p 1 0 0 p N - 1 p N - 2 ... p 2 ⋮ ⋱ ⋱ ⋱ ⋮ 0 0 ... 0 p N - 1 p N - 2 0 0 ... 0 0 p N - 1 ) ⁢ from the q values q0 to qN-2, the coefficients p-1 to pN-1 and the input data a-N to a-1, a0 to aN-1.
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机译:线性反馈偏移计算装置,其被输入输入数据并且输出输出数据,包括:L生成单元,其生成由qk = {p 0(k = 0)pk表示的q0到qN-2的q个值+&sum; i = 0 k-1&#x2062; q k-1-i×p i(1 <= k <= N-2)方程&#x2062; &#x2062;从输入的系数p-1至pN-2中的系数p0至pN-2中的1(其中,p0,p1,...,pN-1,q0,q1,...,qN-2属于伽罗瓦域GF(2))。 pN-1(其中,N为2以上的自然数);矩阵计算单元,其输出由输出数据b0至bN-1计算出的输出数据,其表示为:(b N-1 b N-2&vellip; bo)= L×(U×(a N-1 a N- 2&ltlip; a 0)+ p-1×(a-1 a-2&vellip; a-N))方程&#x2062; &#x2062; 2和L =(1 0 ... 0 0 0 q 0 1 0 ... 0 0 q 1 q 0 1 0 ... 0&vellip;&#x22F1;&#x22F1;&#x22F1;&vellip; q N -3 q N-4 ... q 0 1 0 q N-2 q N-3 ... q 1 q 0 1)方程&#x2062; &#x2062; 3 U =(p N-1 p N-2 ... p 2 p 1 p 0 0 p N-1 p N-2 ... p 2 p 1 0 0 p N-1 p N-2 ... p 2&vellip;&#x22F1;&#x22F1;&#x22F1;&vellip; 0 0 ... 0 p N-1 p N-2 0 0 ... 0 0 p N-1)&#x2062;从q值q0至qN-2,系数p-1至pN-1和输入数据a-N至a-1,a0至aN-1。
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