DocumentCode
894075
Title
A duality theorem for the weight distribution of some cyclic codes
Author
Remijn, J.C.C.M. ; Tiersma, H.J.
Author_Institution
Dept. of Math. & Comput. Sci., Eindhoven Univ. of Technol., Netherlands
Volume
34
Issue
5
fYear
1988
fDate
9/1/1988 12:00:00 AM
Firstpage
1348
Lastpage
1351
Abstract
A close relationship between the weight enumerators of two cyclic codes is presented. The weights of the codewords are expressed in terms of Kloosterman sums. The Weil-Carlitz-Uchiyama estimate for Kloosterman sums is used to obtain bounds for the minimum distance of the codes. A relation with negacyclic codes is discussed
Keywords
boundary-value problems; codes; encoding; Kloosterman sums; Weil-Carlitz-Uchiyama estimate; bounds; codewords; cyclic codes; duality theorem; negacyclic codes; weight distribution; weight enumerators; Gaussian processes; Mathematics;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.21268
Filename
21268
Link To Document