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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Chan, A.H. Games, R.A. Rushanan, J.J. |
| Copyright Year | 1994 |
| Description | Author affiliation: Coll. of Comput. Sci., Northeastern Univ., Boston, MA, USA (Chan, A.H.) |
| Abstract | Maximal sequences generated by linear feedback shift registers (FSRs), known as m-sequences, have been well-studied in the literature. These sequences have long periods, good statistical properties and two-valued autocorrelation functions. However, m-sequences are extremely vulnerable to a known plaintext attack. In order to overcome these weaknesses, nonlinearities have been introduced. We study nonlinear feedback functions by investigating quadratic functions. The quadratic span of a periodic binary sequence is the length of the shortest quadratic FSR that generates the sequence. This paper considers the question as to whether the sequence obtained from a DeBruijn sequence by dropping the all-zero state can now have quadratic span n. Such sequences are the quadratic analog of the linear m-sequences and present an attractive extremal case to explore further the structure of nonlinear FSRs. |
| File Size | 105428 |
| File Format | |
| ISBN | 0780320158 |
| DOI | 10.1109/ISIT.1994.394654 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1994-06-27 |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Feedback Educational institutions Computer science Autocorrelation Linearity Binary sequences National security |
| Content Type | Text |
| Resource Type | Article |
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