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检索条件"主题词=Generalized bent functions"
19 条 记 录,以下是1-10 订阅
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Nonexistence of generalized bent functions and the quadratic norm form equations
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DESIGNS CODES AND CRYPTOGRAPHY 2025年 1-17页
作者: Lv, Chang Zhu, Yuqing Chinese Acad Sci Inst Informat Engn State Key Lab Cyberspace Secur Def Beijing 100093 Peoples R China Beijing Jiaotong Univ Sch Cyberspace Sci & Technol Beijing Key Lab Secur & Privacy Intelligent Transp Beijing 100044 Peoples R China
We present a new result on the nonexistence of generalized bent functions (GBFs) from (Z/tZ)n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepacka... 详细信息
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generalized bent functions and class group of imaginary quadratic fields
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Science China Mathematics 2001年 第5期44卷 562-570页
作者: 冯克勤 1. Department of Mathematical Sciences Tsinghua University 100084 Beijing China
Several new results on non-existence of generalized bent functions are presented. The results are related to the class number of imaginary quadratic fields.
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generalized bent functions - Some General Construction Methods and Related Necessary and Sufficient Conditions
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CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN functions AND SEQUENCES 2015年 第4期7卷 469-483页
作者: Hodzic, S. Pasalic, E. Univ Primorska FAMNIT Koper Slovenia Univ Primorska FAMNIT IAM Koper Slovenia
In this article we present a broader theoretical framework useful in studying the properties of so-called generalized bent functions. We give the sufficient conditions (and in many cases also necessary) for generalize... 详细信息
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New Secondary Constructions of generalized bent functions
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Chinese Journal of Electronics 2021年 第6期30卷 1022-1029页
作者: YANG Zhiyao KE Pinhui CHEN Zhixiong Fujian Provincial Key Laboratory of Network Security and Cryptology Fujian Normal University College of Mathematics and Informatics Fujian Normal University Fujian Provincial Key Laboratory of Applied Mathematics Putian University
Three new secondary constructions of generalized bent functions are presented. We provide a secondary construction of generalized bent functions from indirect sum methods proposed by Carlet et al. A new secondary cons... 详细信息
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Construction methods for generalized bent functions
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DISCRETE APPLIED MATHEMATICS 2018年 238卷 14-23页
作者: Hodzic, S. Pasalic, E. Univ Primorska FAMNIT Glagoljaska 6 Koper 6000 Slovenia Univ Primorska IAM Glagoljaska 6 Koper 6000 Slovenia
generalized bent (gbent) functions is a class of functions f : Z(2)(n) -> Z(q), where q >= 2 is a positive integer, that generalizes a concept of classical bent functions through their co-domain extension. A lot... 详细信息
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On the Duals of generalized bent functions
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IEEE TRANSACTIONS ON INFORMATION THEORY 2022年 第7期68卷 4770-4781页
作者: Wang, Jiaxin Fu, Fang-Wei Nankai Univ Chern Inst Math Tianjin 300071 Peoples R China Nankai Univ LPMC Tianjin 300071 Peoples R China
In this paper, we study the duals of generalized bent functions f : V-n -> Z(pk), where V-n is an n-dimensional vector space over F-p and p is an odd prime, k is a positive integer. It is known that weakly regular ... 详细信息
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On generalized bent functions with Dillon's exponents
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INFORMATION PROCESSING LETTERS 2014年 第4期114卷 222-227页
作者: Bajric, Samed Pasalic, Enes Ribic-Muratovic, Amela Sugata, Gangopadhyay Univ Primorska FAMNIT Koper Slovenia Univ Sarajevo Sarajevo 71000 Bosnia & Herceg Indian Inst Technol Dept Comp Sci & Engn Roorkee Uttar Pradesh India
In this paper we investigate the possibility of constructing bent functions over fields with odd characteristic. While in the binary case, and for n = 2k, the bent property of monomials of the form Tr-1(n)(ax(r(2k-1))... 详细信息
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Full Characterization of generalized bent functions as (Semi)-bent Spaces, Their Dual, and the Gray Image
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IEEE TRANSACTIONS ON INFORMATION THEORY 2018年 第7期64卷 5432-5440页
作者: Hodzic, Samir Meidl, Wilfried Pasalic, Enes Univ Primorska FAMNIT Koper 6000 Slovenia OEAW Johann Radon Inst Computat & Appl Math A-4040 Linz Austria Univ Primorska IAM FAMNIT Koper 6000 Slovenia
A natural generalization of bent functions is a class of functions from F-2(n) to Z(2k) which is known as generalized bent (gbent) functions. The construction and characterization of gbent functions are commonly descr... 详细信息
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On the Non-Existence of Certain Classes of generalized bent functions
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IEEE TRANSACTIONS ON INFORMATION THEORY 2017年 第1期63卷 738-746页
作者: Lv, Chang Li, Jianing Chinese Acad Sci Inst Informat Engn State Key Lab Informat Secur Beijing 100093 Peoples R China Chinese Acad Sci Acad Math & Syst Sci NCMIS Key Lab Math Mechanizat Beijing 100093 Peoples R China
We obtain new non-existence results of generalized bent functions from Z(q)(n) to Z(q) (called type [n, q]). The first case is a class with types, where q = 2(p1)(r1) p(2)(r2). The second case contains two types [1 &l... 详细信息
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Nonexistence of two classes of generalized bent functions
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DESIGNS CODES AND CRYPTOGRAPHY 2017年 第3期85卷 471-482页
作者: Li, Jianing Deng, Yingpu Chinese Acad Sci Acad Math & Syst Sci NCMIS Key Lab Math Mechanizat Beijing 100190 Peoples R China Univ Chinese Acad Sci Beijing 100049 Peoples R China
We 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 g... 详细信息
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