The kth-Order Quasi-Generalized Bent Functions over Ring Z p

2005 ◽  
pp. 189-201 ◽  
Author(s):  
Jihong Teng ◽  
Shiqu Li ◽  
Xiaoying Huang
Keyword(s):  
Bent Functions ◽  
Generalized Bent Functions

New Constructions of Codebooks Nearly Meeting the Welch Bound

2020 ◽  
Vol 31 (07) ◽  
pp. 875-889
Author(s):  
Zexia Shi ◽  
Lei Sun ◽  
Fang-Wei Fu
Keyword(s):  
Positive Integer ◽  
Code Division Multiple Access ◽  
Multiple Access ◽  
Bent Functions ◽  
Welch Bound ◽  
Generalized Bent Functions ◽  
Multiple Access Communications ◽  
Generic Construction ◽  
Direct Spread ◽  
Code Division Multiple

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.

Non-Existence of Some Generalized Bent Functions

2003 ◽  
Vol 19 (1) ◽  
pp. 39-50 ◽  
Author(s):  
Ke Qin Feng ◽  
Feng Mei Liu
Keyword(s):  
Bent Functions ◽  
Generalized Bent Functions

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

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

scholarly journals A note of generalized bent functions

1996 ◽  
Vol 106 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Ersan Akyildiz ◽  
Ismail Ş. Güloǧlu ◽  
Masatoshi /.Ikeda
Keyword(s):  
Bent Functions ◽  
Generalized Bent Functions
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