Non-Existence of Some Generalized Bent Functions

Author:

Feng Ke Qin,Liu Feng Mei

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference9 articles.

1. Rothaus, O. S.: On bent functions. J. of Comb. Theory (A), 20, 300–305 (1976)

2. Kumar, P. V., Scholtz, R. A., Welch, L. R.: Generalized bent functions and their properties. J. of Comb. Theory (A), 40, 90–107 (1985)

3. Feng, K. Q.: Generalized bent functions and class group of imaginary quadratic fields. Science in China, (Series A), 44(5), 489–496 (2001)

4. Ikeda, M.: A remark on the non-existence of generalized bent functions. Number theory and Its Applications (Ankara), 109–119 (1996), LN in Pure and Appl. Math., 204, New York, Marcel Dekker (1999)

5. Pei, D. Y.: On non-existence of generalized bent functions. LN in Pure and Applied Math., 141, 165–172 (1993)

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1. On Walsh Spectrum of Cryptographic Boolean Function;Defence Science Journal;2017-09-19

2. On the Non-Existence of Certain Classes of Generalized Bent Functions;IEEE Transactions on Information Theory;2017-01

3. Nonexistence of two classes of generalized bent functions;Designs, Codes and Cryptography;2016-12-19

4. New results on nonexistence of generalized bent functions;Designs, Codes and Cryptography;2014-01-29

5. The relationship between the nonexistence of generalized bent functions and diophantine equations;Acta Mathematica Sinica, English Series;2011-05-15

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