一类p元d型序列的线性复杂度
收稿日期: 2009-03-21
修回日期: 2009-06-24
网络出版日期: 2011-03-25
基金资助
国家自然科学基金资助项目(60803056)；东南大学移动通信国家重点实验室开放基金资助项目(W200805)
The Linear Complexity of a Family of p-ary d-form Sequences
Received date: 2009-03-21
Revised date: 2009-06-24
Online published: 2011-03-25
任勃,谢端强 . 一类p元d型序列的线性复杂度[J]. 计算机工程与科学, 2011 , 33(3) : 18 -22 . DOI: 10.3969/j.issn.1007130X.2011.
Pseudorandom sequences are widely used in secret communications, spread spectrum communications and code division multiple address communications. They are usually used as the key sequences, spread spectrum sequences and address sequences. In the design theory of stream ciphers, complexity is introduced to evaluate the unpredictability of the cipher stream, that is, its level of safety. Linear complexity of sequences is an important measure for security in these applications, and this paper investigates the linear complexity of a family of p-ary d-form sequences under certain conditions, and the upper bound is given. There exists a family of p-ary d-form sequences whose linear complexity can reach the upper bound , which suggests that our upper bound is tight.
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