Sums of Gauss sums and weights of irreducible codes
نویسندگان
چکیده
منابع مشابه
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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The dissertation consists of three articles in which the evaluation of certain exponential sums and Gauss sums and bounds for the absolute values of exponential sums are considered. The summary part of the thesis provides interpretations in terms of coding theory for the results obtained in the articles.
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ژورنال
عنوان ژورنال: Finite Fields and Their Applications
سال: 2005
ISSN: 1071-5797
DOI: 10.1016/j.ffa.2004.06.002