DocumentCode
181665
Title
On the primitive polynomial as the characteristic polynomial of a symmetric companion matrix
Author
Hagiwara, Manabu ; Sasaki, T.
Author_Institution
Grad. Sch. of Sci., Chiba Univ., Chiba, Japan
fYear
2014
fDate
26-29 Oct. 2014
Firstpage
348
Lastpage
352
Abstract
As a fundamental work on coding theory, the characteristic polynomial for symmetric companion matrix of an extended field with the characteristic number 2 is investigated. A new linear recurrence relation is obtained. The relation provides us with an algorithm to calculate the determinant corresponding to a symmetric companion matrix of a primitive element of an extended field.
Keywords
determinants; encoding; polynomial matrices; characteristic polynomial; coding theory; determinant; extended field; linear recurrence relation; primitive element; primitive polynomial; symmetric companion matrix; Australia; Finite element analysis; Information theory; Mathematical model; Polynomials; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory and its Applications (ISITA), 2014 International Symposium on
Conference_Location
Melbourne, VIC
Type
conf
Filename
6979863
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