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Complete Weight Enumerator of the Delsarte-Goethals Code over $Z_4$  

신동준 (한양대학교 전자전기컴퓨터공학부)
Publication Information
The Journal of Korean Institute of Communications and Information Sciences / v.28, no.8C, 2003 , pp. 765-770 More about this Journal
Abstract
In this paper, the complete weight enumerator of the Delsarte-Goethals code over Z$_4$ is obtained. This code is divided into 3 cases and the complete weight enumerator of each case is calculated. During this weight enumeration, the blown distribution of exponential sums and binary weight distribution of the sub-codes are used. By combining this result and MacWilliams identity, the complete weight enumerator of the Goethals code over Z$_4$can be easily obtained. This result is also used for finding 3-designs from the Goethals and Delsarte-Goethals codes over Z$_4$.
Keywords
complete weight enumerator; Delsarte-Goethals code over $Z_4$.;
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