On the expected value of the linear complexity of periodic sequences

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2004

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Özakın, Çiğdem

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In cryptography, periodic sequences with terms in F2 are used almost everywhere. These sequences should have large linear complexity to be cryptographically strong. In fact, the linear complexity of a sequence should be close to its period. In this thesis, we study the expected value for N-periodic sequences with terms in the finite field Fq. This study is entirely devoted to W. Meidl and Harald Niederreiter̕s paper which is أOn the Expected Value of the Linear Complexity and the k-Error Linear Complexity of Periodic Sequencesؤ We only expand this paper, there is no improvement. In this paper there are important theorems and results about the expected value of linear complexity of periodic sequences.

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Mathematics.

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http://etd.lib.metu.edu.tr/upload/12605541/index.pdf
https://hdl.handle.net/11511/14599

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Graduate School of Applied Mathematics, Thesis

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Citation Formats

Ç. Özakın, “On the expected value of the linear complexity of periodic sequences,” M.S. - Master of Science, Middle East Technical University, 2004.