The relationship between the nonexistence of generalized bent functions and diophantine equations |
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| Authors: | Feng Mei Liu Qin Yue |
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| Affiliation: | [1]National Key Laboratory on Information Assurance Technology, Sub-box 21, Box 7227, Beijing 100072, P. R. China [2]Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P. R. China |
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| Abstract: | Two new results on the nonexistence of generalized bent functions are presented by using properties of the decomposition law of primes in cyclotomic fields and properties of solutions of some Diophantine equations, and examples satisfying our results are given. |
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| Keywords: | Generalized bent function integral basis Diophantine equation |
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