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01-06-2015 | Issue 3/2015

New results on nonexistence of generalized bent functions

Journal:: Designs, Codes and Cryptography > Issue 3/2015

Authors:: Yupeng Jiang, Yingpu Deng

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

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