generalized bent functions
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2021 ◽  
Vol 30 (6) ◽  
pp. 1022-1029
Author(s):  
YANG Zhiyao ◽  
KE Pinhui ◽  
CHEN Zhixiong


2020 ◽  
Vol 31 (07) ◽  
pp. 875-889
Author(s):  
Zexia Shi ◽  
Lei Sun ◽  
Fang-Wei Fu

Optimal codebooks meeting the Welch bound with equality are desirable in many areas, such as direct spread code division multiple access communications, compressed sensing and so on. However, it is difficult to construct such optimal codebooks. There have been a number of attempts to construct codebooks nearly meeting the Welch bound. In this paper, we introduce a generic construction of codebooks using generalized bent functions from [Formula: see text] to [Formula: see text], where [Formula: see text] is a prime and [Formula: see text] is a positive integer with [Formula: see text]. With this construction, we obtain two new families of codebooks nearly meeting the Welch bound. These codebooks have new parameters and could have a small alphabet size. In particular, a class of regular generalized bent functions from [Formula: see text] to [Formula: see text] is presented.



2020 ◽  
Vol 88 (4) ◽  
pp. 755-770
Author(s):  
Ka Hin Leung ◽  
Qi Wang






2018 ◽  
Vol 64 (7) ◽  
pp. 5441-5452 ◽  
Author(s):  
Sihem Mesnager ◽  
Chunming Tang ◽  
Yanfeng Qi ◽  
Libo Wang ◽  
Baofeng Wu ◽  
...  




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