Current Search: HAMLIN, ALLEN CHARLES (x)
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Title
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LINEAR CODES AND RECURRENT SEQUENCES.
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Creator
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HAMLIN, ALLEN CHARLES, Florida Atlantic University
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Abstract/Description
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In this paper, a brief introduction to coding theory is presented. Linear (block) codes arc briefly discussed along with some of their error (multiple error, burst error) correction and detection properties. Recurrent sequences are discussed in the major portion of the paper, and it is shown that the study of general recurrent sequences is equivalent to the study of sequences associated with irreducible polynomials. The paper concludes with a brief mention of autocorrelation functions and a...
Show moreIn this paper, a brief introduction to coding theory is presented. Linear (block) codes arc briefly discussed along with some of their error (multiple error, burst error) correction and detection properties. Recurrent sequences are discussed in the major portion of the paper, and it is shown that the study of general recurrent sequences is equivalent to the study of sequences associated with irreducible polynomials. The paper concludes with a brief mention of autocorrelation functions and a way of finding the minimal recursion of a recurrent sequence given some terms of the sequence. The paper is an exposition of previously known results. Some modification in notation and proofs has been done to present the material in a unified and more readable manner.
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Date Issued
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1973
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PURL
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http://purl.flvc.org/fcla/dt/13552
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Subject Headings
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Coding theory
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Format
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Document (PDF)