The cycle structure of LFSR with arbitrary characteristic polynomial over finite fields

The cycle structure of LFSR with arbitrary characteristic polynomial over finite fields
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DOI:
10.1007/s12095-017-0273-2
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发表时间:
2016-12
期刊:
Cryptography and Communications
影响因子:
--
通讯作者:
Zuling Chang;M. F. Ezerman;S. Ling;Huaxiong Wang
Zuling Chang;M. F. Ezerman;S. Ling;Huaxiong Wang
中科院分区:
其他
文献类型:
--
作者:
Zuling Chang;M. F. Ezerman;S. Ling;Huaxiong Wang

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我们确定了任意有限域上具有任意一元特征多项式的线性反馈移位寄存器的循环结构。对于每个周期,提出了一种寻找状态的方法和一种表示状态的新方法。
We determine the cycle structure of linear feedback shift register with arbitrary monic characteristic polynomial over any finite field. For each cycle, a method to find a state and a new way to represent the state are proposed.