Journal of the Ramanujan Mathematical Society

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The Weight Distribution of a Class of Constacyclic Codes


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1 Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India
     

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Let 𝔽q be a finite field with q elements. For a non zero element λ in 𝔽q , we consider λ-constacyclic codes of length N over 𝔽q , where characteristic of 𝔽q does not divide N. We find the necessary and sufficient conditions when a λ-constacyclic codes of length N over 𝔽q has generator polynomial of the form (xn − β), β in 𝔽q . We explicitly determine the weight distribution of such λ-constacyclic codes directly from their generator polynomials.
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  • The Weight Distribution of a Class of Constacyclic Codes

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Authors

Amita Sahni
Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India
Poonam Trama Sehgal
Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India

Abstract


Let 𝔽q be a finite field with q elements. For a non zero element λ in 𝔽q , we consider λ-constacyclic codes of length N over 𝔽q , where characteristic of 𝔽q does not divide N. We find the necessary and sufficient conditions when a λ-constacyclic codes of length N over 𝔽q has generator polynomial of the form (xn − β), β in 𝔽q . We explicitly determine the weight distribution of such λ-constacyclic codes directly from their generator polynomials.

References