The k-error Linear Complexity Distribution for Periodic Sequences
Access Status
Open access
Authors
Zhou, Jianqin
Date
2017Supervisor
Assoc. Prof. Wanquan Liu
Collection
Type
Thesis
Education Level
Ph.D.
Metadata
Show full item recordAbstract
This thesis proposes various novel approaches for studying the k-error linear complexity distribution of periodic binary sequences for k > 2, and the second descent point and beyond of k-error linear complexity critical error points. We present a new tool called Cube Theory. Based on Games-Chan algorithm and the cube theory, a constructive approach is presented to construct periodic sequences with the given k-error linear complexity profile. All examples are verified by computer programs.
Faculty
Science and Engineering
School
Computing
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