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|Title:||A construction of primitive polynomials over finite fields|
|Abstract:||In this work, a new construction based on companion matrices of primitive polynomials is provided. Given two primitive polynomials over the finite fields Fq and Fqb, we construct a ring isomorphism that transforms the companion matrix of the primitive polynomial over Fqb into a matrix with elements in Fq whose characteristic polynomial is another primitive polynomial over Fq.|
|Editor:||Taylor & Francis|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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