Sums of Gauss sums and weights of irreducible codes

Authors:
Robert W. Fitzgerald;Joseph L. Yucas
Affiliations:
Department of Mathematics, Southern Illinois University, Carbondale, IL 62901 USA;Department of Mathematics, Southern Illinois University, Carbondale, IL 62901 USA
Venue:
Finite Fields and Their Applications
Year:
2005

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Abstract

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.