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Nonexistence of two classes of generalized bent functions
Li, Jianing1; Deng, Yingpu1,2
AbstractWe obtain some new nonexistence results of generalized bent functions from Z(q)(n) to Z(q) (called type [n, q]) in the case that there exist cyclotomic integers in Z[zeta(q)] with absolute value q (n/2). This result generalizes two previous nonexistence results [n, q] = [1, 2x7] of Pei (Lect Notes Pure Appl Math 141:165-172, 1993) and [3, 2 x 23(e)] of Jiang and Deng (Des Codes Cryptogr 75: 375-385, 2015). We also remark that by using a same method one can get similar nonexistence results of GBFs from Z(2)(n) to Z(m).
KeywordGeneralized bent functions Cyclotomic fields Prime ideal factorizations Class groups
Funding ProjectNNSF of China[11471314] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Theory & Methods ; Mathematics, Applied
WOS IDWOS:000410457400006
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Document Type期刊论文
Corresponding AuthorLi, Jianing
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Li, Jianing,Deng, Yingpu. Nonexistence of two classes of generalized bent functions[J]. DESIGNS CODES AND CRYPTOGRAPHY,2017,85(3):471-482.
APA Li, Jianing,&Deng, Yingpu.(2017).Nonexistence of two classes of generalized bent functions.DESIGNS CODES AND CRYPTOGRAPHY,85(3),471-482.
MLA Li, Jianing,et al."Nonexistence of two classes of generalized bent functions".DESIGNS CODES AND CRYPTOGRAPHY 85.3(2017):471-482.
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