反馈移位寄存器非奇异性判定
CRITERION FOR THE NONSINGULARITY OF FEEDBACK SHIFT REGISTERS
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摘要: 本文给出一般有限域GF(q)上次数不超过3的反馈移位寄存器非奇异的充分和必要条件。
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关键词:
- 非奇异; 置换多项式; 反馈移位寄存器
Abstract: This paper presents the necessary and sufficient conditions for the no-nsingularity of feedback shift registers of degree at most three on finite fields GF(q). -
肖国镇,等.伪随机序列及其应用.北京:国防工业出版社,1985.[2]万哲先,等.非线性移位寄存器.北京:科学出版社,1978.[3]Golomb s W. Shin Register Sequences. CA: Holden, 1967.[4]Lai J X. IEEE Trans. on IT, 1987, IT-33(50):747-757.[5]Mullen G L. IEEE Trans. on IT, 1989 IT-35(4): 900-902.[6]Lidl R, Niederreiter H. Finite Field, MA: Addision-Wesley, 1983, 348-389. -
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