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2008•Journal of MathematicsRequires access

THE APPLICATIONS OF PRIMITIVE ROOTS OF FINITE FIELD F_p~2 TO B_2 SEQUENCES

Cheng Zhi

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Abstract

In this paper,we discuss the applications of primitive roots of finite field Fp2 to B2 sequences under the condition that p is an odd prime.By using the properties of a primitive root θ of Fp2,we first give some characters of the elements in B2 sequences A(p,θ)and then by applying the minimal polynomial of the primitive root θ we construct the minimal polynomials of two special primitive roots θ-p and θ(p~2-1)/2+p.

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What this paper is about

In this paper,we discuss the applications of primitive roots of finite field Fp2 to B2 sequences under the condition that p is an odd prime.By using the properties of a primitive root θ of Fp2,we first give some characters of the elements in B2 sequences A(p,θ)and then by applying the minimal polynomial of the primitive root θ we construct the minimal polynomials of two special primitive roots θ-p and θ(p~2-1)/2+p.

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Available abstract

In this paper,we discuss the applications of primitive roots of finite field Fp2 to B2 sequences under the condition that p is an odd prime.By using the properties of a primitive root θ of Fp2,we first give some characters of the elements in B2 sequences A(p,θ)and then by applying the minimal polynomial of the primitive root θ we construct the minimal polynomials of two special primitive roots θ-p and θ(p~2-1)/2+p.

Key concepts: Mathematics, Primitive polynomial, Primitive root modulo n, Primitive element, Finite field, Root (linguistics), Root of unity, Prime (order theory)

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