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Sehgal, Poonam Trama
- The Weight Distribution of a Class of Constacyclic Codes
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Authors
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1 Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, IN
1 Centre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, IN
Source
Journal of the Ramanujan Mathematical Society, Vol 33, No 4 (2018), Pagination: 379-397Abstract
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
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