New nonexistence results on (m,n)-generalized bent functions

New nonexistence results on (m,n)-generalized bent functions
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(m,n)-广义弯曲函数的新不存在结果

DOI:
10.1007/s10623-019-00708-8
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发表时间:
2020
期刊:
Designs, Codes and Cryptography
影响因子:
--
通讯作者:
Qi Wang
Qi Wang
中科院分区:
其他
文献类型:
--
作者:
Ka Hin Leung;Qi Wang

文献摘要

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In this paper, we present some new nonexistence results on (m,n)-generalized bent functions, which improved recent results. More precisely, we derive new nonexistence results for generalnandmodd or, and further explicitly prove nonexistence of (m, 3)-generalized bent functions for all integersmodd or. The main tools we utilized are certain exponents of minimal vanishing sums from applying characters to group ring equations that characterize (m,n)-generalized bent functions.