DocumentCode :
2947742
Title :
The Properties of the 1-error Linear Complexity of pn-periodic Sequences Over Fp
Author :
Su, Ming ; Chen, Lusheng
Author_Institution :
Coll. of Inf. Tech. Sci., Nankai Univ., Tianjin
fYear :
2006
fDate :
9-14 July 2006
Firstpage :
1998
Lastpage :
2002
Abstract :
Some properties of pn-periodic sequences over Fp with fixed linear complexity value are found. Based on this, the distribution of the 1-error linear complexity of pn-periodic sequences over Fp is provided. The expectation of the 1-error linear complexity of random pn-periodic sequences over Fp is calculated and its estimated range is given. According to these results, an efficient algorithm for computing the 1-error linear complexity of a pn-periodic sequence, as well as a new algorithm for determining all the error vectors that give the 1-error linear complexity, is proposed
Keywords :
computational complexity; information theory; random sequences; 1-error linear complexity; random pn-periodic sequences; Algorithm design and analysis; Binary sequences; Distributed computing; Hamming weight; Mathematics; Polynomials; Random sequences; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Information Theory, 2006 IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
1-4244-0505-X
Electronic_ISBN :
1-4244-0504-1
Type :
conf
DOI :
10.1109/ISIT.2006.261899
Filename :
4036318
Link To Document :
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