Title
Decomposition of M-sequences and its applications
Abstract
If the period of an -sequence is with relative prime to , then the vector , a period of the -sequence, can be decomposed in a special way into two subsequences of lengths and . The properties and structures of the -sequence and its subsequences are studied under such decomposition. The following applications are direct consequences. The correlation technique for the detection of - sequences can be improved. The weight distributions of a class of cyclic codes can be easily obtained. A scheme for improving the feedback communication is developed. And a method for designing cyclic codes with desirable weights is suggested.
Year
DOI
Venue
1971
10.1109/TIT.1971.1054654
IEEE Transactions on Information Theory
Keywords
Field
DocType
feedback communication,correlators,weight distribution,shift-register sequences,cyclic codes,cyclic code,correlation technique,detection ofm,desirable weight,anm-sequence is2,sequences,following application,direct consequence,prime ton_2,matrix decomposition,polynomials,tensile stress,vectors,welding,design methodology,shift registers
Correlation function (quantum field theory),Prime (order theory),Discrete mathematics,Combinatorics,Mathematics,Decomposition
Journal
Volume
Issue
ISSN
17
4
0018-9448
Citations 
PageRank 
References 
3
0.53
1
Authors
1
Name
Order
Citations
PageRank
Lih-Jyh Weng1164.01