Polyadic codes of prime power length |
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| Authors: | Anuradha Sharma Gurmeet K Bakshi Madhu Raka |
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| Institution: | aCentre for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India |
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| Abstract: | Polyadic codes constitute a special class of cyclic codes and are generalizations of quadratic residue codes, duadic codes, triadic codes, m-adic residue codes and split group codes, which have good error-correcting properties. In this paper, we give necessary and sufficient conditions for the existence of polyadic codes of prime power length. Examples of some good codes arising from the family of polyadic codes of prime power length are also given. |
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| Keywords: | Cyclic codes Cyclotomic cosets Idempotents |
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