Journal on Communications ›› 2018, Vol. 39 ›› Issue (4): 84-90.doi: 10.11959/j.issn.1000-436x.2018060

• Papers • Previous Articles     Next Articles

Method of fast construction of M-sequence feedback functions with polynomial representation

Jie GUAN,Congwei ZHOU()   

  1. Department of Three,PLA Information Engineering University,Zhengzhou 450001,China
  • Revised:2018-02-27 Online:2018-04-01 Published:2018-04-29
  • Supported by:
    The National Natural Science Foundation of China(61572516);The National Natural Science Foundation of China(61272041);The National Natural Science Foundation of China(61272488)

Abstract:

The construction of M-sequence feedback functions has always been a hotspot in the theory of stream cipher.Based on the structural properties of the M-sequence feedback function constructed by the m-sequence,the method of fast construction of a class M-sequence feedback functions was proposed by combining the function transformation and function derivative.Meanwhile,polynomial representation,amount and weight property of the class M-sequence feedback functions were considered.

Key words: M-sequence feedback function, polynomial representation, function transformation, function derivative

CLC Number: 

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