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01-06-2015 | Issue 3/2015

Designs, Codes and Cryptography 3/2015

New results on nonexistence of generalized bent functions

Journal:
Designs, Codes and Cryptography > Issue 3/2015
Authors:
Yupeng Jiang, Yingpu Deng
Important notes
Communicated by A. Pott.

Abstract

We obtain two kinds of new results on nonexistence of generalized bent functions (GBFs). Based on the results of Feng, Liu and Ma, we use Schmidt’s field descent method to get the first kind. For the second kind, we use both decomposition law in cyclotomic fields and bent requirements to prove that no GBFs with type \([3,\,2\cdot 23^{e}]\) exist.

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