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Designs, Codes and Cryptography
Published in: Designs, Codes and Cryptography 3/2015

01-06-2015

New results on nonexistence of generalized bent functions

Authors: Yupeng Jiang, Yingpu Deng

Published in: Designs, Codes and Cryptography | Issue 3/2015

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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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Metadata
Title
New results on nonexistence of generalized bent functions
Authors
Yupeng Jiang
Yingpu Deng
Publication date
01-06-2015
Publisher
Springer US
Published in
Designs, Codes and Cryptography / Issue 3/2015
Print ISSN: 0925-1022
Electronic ISSN: 1573-7586
DOI
https://doi.org/10.1007/s10623-014-9923-y

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