GF(p)上鐘控序列
CLOCK CONTROLLED SEQUENCES OVER GF(p)
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摘要: 本文利用有限域GF(p)(p2為素數,1為正整數)上二次特征建立了GF(p)上一類互鐘控序列,即LSRg[d0,d1,d2]-互鐘控序列。討論了當用作移位時鐘控制的前饋函數g(x1,x2,,xn)為二次型時,LSRg[d0,d1,d2]-互鐘控序列的周期和線性復雜度的特點。Abstract: A class of clock-cross-controlled sequences over GF(p) (p 2 is a prime number, 1 is a positive number) using the quadratic character of GF(p), i.e., LSRg[d0,d1,d2]-clock-cross-controlled sequences is introduced. When the feedforward function g(x1,x2,,xn), which is used as the controlling shift clock, is a quadratic form of GF(p), the properties of the period and the linear complexity of this sequences are discussed.
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Beth T, Piper F C. The Stop-and-Go Generator. Advances in Cry ptology-Proceeding of EUROCRYPT84. Springer Lecture Notes in Computer Science, Vol. 209, 88-92.[2]Smeets B. A Note on Sequences Generated by Clock Controlled Shift Register. EUROCRYPT85, Spring-Verlag, 1986, 142-148.[3]李超.LSRg[d,k]-互鐘控序列.通信學報,1992,13(3): 71-73.[4]Lidl R, Niederreiter H. Finite Field. London: Addsion Wesley. Publishing Company. 1983, 282-283. -
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