Sums of Gauss sums and weights of irreducible codes

We develop a matrix approach to compute a certain sum of Gauss sums which arises in the study of weights of irreducible codes. A lower bound on the minimum weight of certain irreducible codes is given.

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Bibliographic Details
Published in:Finite fields and their applications 2005, Vol.11 (1), p.89-110
Main Authors: Fitzgerald, Robert W., Yucas, Joseph L.
Format: Article
Language:English
Subjects:
Codes
Gauss sums
Weights
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Description
Summary:We develop a matrix approach to compute a certain sum of Gauss sums which arises in the study of weights of irreducible codes. A lower bound on the minimum weight of certain irreducible codes is given.
ISSN:1071-5797
1090-2465
DOI:10.1016/j.ffa.2004.06.002