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Irreducible Polynomials Which Divide Trinomials over GF(2)


Marketed By :  VDM Verlag Dr. Müller   Sold By :  Kamal Books International  
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  • Product Description

Shift-register sequences, also known as pseudorandom sequences, or pseudonoise sequences, have played increasingly important roles in many important applications. The simplest linear feedback shift registers to generate binary sequences involve only two taps, which corresponds to a trinomial over GF(2). It is therefore of interest to know which irreducible polynomials f(x) divide trinomials over GF(2), since the output sequences corresponding to f(x) can be obtained from a two-tap linear feedback shift register (with a suitable initial state) if and only if f(x) divides some trinomial over GF(2). In this work we develop the theory of irreducible polynomials which do, or do not, divide trinomials over GF(2). Then some related problems such as Artin''s conjecture about primitive roots, and the conjectures of Blake, Gao and Lambert, and of Tromp, Zhang and Zhao are discussed.

Product Specifications
SKU :COC43755
AuthorPey-Feng Lee
Number of Pages76
Publishing Year2010-12-07T00:00:00.000
Edition1 st
Book TypeElectronics & communications engineering
Country of ManufactureIndia
Product BrandVDM Verlag Dr. Müller
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-01-08 00:00:00