REAL

On linear complexity of binary lattices, II

Gyarmati, Katalin and Mauduit, Christian and Sárközy, András (2014) On linear complexity of binary lattices, II. The Ramanujan Journal, 34 (2). pp. 237-263. ISSN 1382-4090, ESSN: 1572-9303

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Abstract

The linear complexity is an important and frequently used measure of unpredictably and pseudorandomness of binary sequences. In Part I of this paper we extended this notion to two dimensions: we defined and studied the linear complexity of binary and bit lattices. In this paper first we will estimate the linear complexity of a truly random bit $(M,N)$-lattice. Next we will extend the notion of $k$-error linear complexity to bit lattices. Finally, we will present another alternative definition of linear complexity of bit lattices.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet
Depositing User: Katalin Gyarmati
Date Deposited: 20 Sep 2014 13:30
Last Modified: 20 Sep 2014 13:30
URI: http://real.mtak.hu/id/eprint/15632

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