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Designs, Codes and Cryptography

Erschienen in:

01.06.2015

New results on nonexistence of generalized bent functions

verfasst von: Yupeng Jiang, Yingpu Deng

Erschienen in: Designs, Codes and Cryptography | Ausgabe 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.

Vorheriger Artikel Construction of minimal non-abelian left group codes

Nächster Artikel Hanani triple packings and optimal -ary codes of constant weight three

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Titel: New results on nonexistence of generalized bent functions
verfasst von: Yupeng Jiang
Yingpu Deng
Publikationsdatum: 01.06.2015
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 3/2015
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-014-9923-y

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