Generation of linear recursive sequences from irreducible polynomials over GF(Q)

M.S Lam

doi:10.1109/mwscas.1991.252049

Generation of linear recursive sequences from irreducible polynomials over GF(Q)

M.S Lam

https://doi.org/10.1109/mwscas.1991.252049

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Publication Date: May 14, 1991

Affiliation: Purdue University Fort Wayne

#Linear Recursive Sequences #Irreducible Polynomials + Show 6 more

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Abstract

Linear recursive sequences generated from irreducible polynomials over GF(q), q=P/sup m/, a prime power, are investigated. These sequences are expressed as vector linear recursive sequences whose component sequences may be obtained directly from an irreducible polynomial over GF(p). The relationship between these components is investigated. A method of generating the primitive and nonprimitive irreducible polynomials is also discussed. >

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