Some Estimates for Character Sums and Applications

Authors:
Arne Winterhof
Affiliations:
Institut für Algebra und Zahlentheorie, TU Braunschweig, 38106 Braunschweig, Germany
Venue:
Designs, Codes and Cryptography
Year:
2001

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Abstract

The results in Winterhof(On the distribution of powers in finite fields, Finite Fieldsand Their Applications 4 (1998), 43–54) on incomplete charactersums of linear polynomials are extended to incomplete charactersums of arbitrary polynomials. As applications a constructionmethod for difference matrices is given, and the estimate ofthe maximum running digital sums of some dc-constrained codesis slightly improved.