On the synthesis of de-Bruijn sequences

Benjamin Arazi

doi:10.1016/S0019-9958(81)90451-4

On the synthesis of de-Bruijn sequences

Benjamin Arazi

Department of Electrical & Computer Engineering

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A way of designing de-Bruijn sequence generators is presented. The design is based on modifying a generator consisting of a serial connection of two m-sequence generators. If m and n are the sizes (in stages) of the two generators involved, the calculations performed during the design consist mainly of: (1) Raising a root of a certain polynomial to the power 2m. (2) Solving a set of 2n linear equations. The first operation is known to be simple to execute.

Original language	English
Pages (from-to)	81-90
Number of pages	10
Journal	Information and control
Volume	49
Issue number	2
DOIs	https://doi.org/10.1016/S0019-9958(81)90451-4
State	Published - 1 Jan 1981

ASJC Scopus subject areas

General Engineering

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10.1016/S0019-9958(81)90451-4

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abstract = "A way of designing de-Bruijn sequence generators is presented. The design is based on modifying a generator consisting of a serial connection of two m-sequence generators. If m and n are the sizes (in stages) of the two generators involved, the calculations performed during the design consist mainly of: (1) Raising a root of a certain polynomial to the power 2m. (2) Solving a set of 2n linear equations. The first operation is known to be simple to execute.",

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AB - A way of designing de-Bruijn sequence generators is presented. The design is based on modifying a generator consisting of a serial connection of two m-sequence generators. If m and n are the sizes (in stages) of the two generators involved, the calculations performed during the design consist mainly of: (1) Raising a root of a certain polynomial to the power 2m. (2) Solving a set of 2n linear equations. The first operation is known to be simple to execute.

UR - https://www.scopus.com/pages/publications/0019560965

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DO - 10.1016/S0019-9958(81)90451-4

M3 - Article

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On the synthesis of de-Bruijn sequences

Abstract

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