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Properties of the output sequence of a simplest 2-linear shift register over Z2n

  • O. A. Kozlitin
Published/Copyright: December 10, 2007
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Discrete Mathematics and Applications
From the journal Volume 17 Issue 6

The output sequence of a simplest self-controlled 2-linear shift register over the residue ring R = Z2n is considered. For a fixed output function we study the rank and the period of the output sequence. In some special cases frequency characteristics of cycles of the first coordinate sequence of the output sequence are considered. It is shown that the rank of the output sequence of the 2-dimensional shift register is much greater than the rank of the output sequence of a 1-dimensional register of the same length.

Received: 2006-November-15
Published Online: 2007-12-10
Published in Print: 2007-12-11

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