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|Title:||Cyclotomy and duadic codes of prime lengths||Authors:||Ding, C.
Quadratic residue codes
|Issue Date:||1999||Citation:||Ding, C., Pless, V. (1999). Cyclotomy and duadic codes of prime lengths. IEEE Transactions on Information Theory 45 (2) : 453-466. ScholarBank@NUS Repository. https://doi.org/10.1109/18.748995||Abstract:||In this paper we present a cyclotomic approach to the construction of all binary duadic codes of prime lengths. We calculate the number of all binary duadic codes for a given prime length and that of all duadic codes that are not quadratic residue codes. We give necessary and sufficient conditions for p such that all binary duadic codes of length p are quadratic residue (Q.R.) codes. We also show how to determine some weights of duadic codes with the help of cyclotomic numbers. © 1999 IEEE.||Source Title:||IEEE Transactions on Information Theory||URI:||http://scholarbank.nus.edu.sg/handle/10635/38909||ISSN:||00189448||DOI:||10.1109/18.748995|
|Appears in Collections:||Staff Publications|
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