Some estimates for character sums and applications
A Winterhof - Designs, Codes and Cryptography, 2001 - Springer
Designs, Codes and Cryptography, 2001•Springer
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.
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.
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.
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