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https://doi.org/10.1109/18.748995
| Title: | Cyclotomy and duadic codes of prime lengths | Authors: | Ding, C. Pless, V. |
Keywords: | Cyclotomy Duadic codes 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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