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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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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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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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generalized partially bent functions, generalized perfect arrays, and cocyclic Butson matrices
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CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN functions AND SEQUENCES 2024年 第2期16卷 323-337页
作者: Armario, J. A. Egan, R. Flannery, D. L. Univ Seville Dept Matemat Aplicada 1 Avda Reina Mercedes S-N Seville 41012 Spain Dublin City Univ Sch Math Sci Dublin Ireland Univ Galway Sch Math & Stat Sci Galway Ireland
In a recent survey, Schmidt compiled equivalences between generalized bent functions, group invariant Butson Hadamard matrices, and abelian splitting relative difference sets. We establish a broader network of equival... 详细信息
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Nonexistence results of generalized bent functions from Zn2 to Zm
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JOURNAL OF COMBINATORIAL THEORY SERIES A 2023年 第1期198卷
作者: Leung, Ka Hin Li, Shuxing Mao, Songtao Natl Univ Singapore Dept Math Singapore 119260 Singapore Simon Fraser Univ Dept Math 8888 Univ Dr Burnaby BC V5A 1S6 Canada Johns Hopkins Univ Dept Comp Sci 3400 North Charles St Baltimore MD 21218 USA
New nonexistence results of generalized bent functions from Zn2 to Zm are presented. In particular, we prove that there exists no generalized bent function from Z42 to Zm for every odd M. (c) 2023 Elsevier Inc. All ri... 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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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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Further Results on generalized bent functions and Their Complete Characterization
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IEEE TRANSACTIONS ON INFORMATION THEORY 2018年 第7期64卷 5441-5452页
作者: Mesnager, Sihem Tang, Chunming Qi, Yanfeng Wang, Libo Wu, Baofeng Feng, Keqin Univ Paris VIII Dept Math F-93526 St Denis France Univ Paris XIII CNRS LAGA UMR 7539 Sorbonne Paris Cite F-93430 Villetaneuse France Telecom ParisTech F-75013 Paris France China West Normal Univ Sch Math & Informat Nanchong 637002 Peoples R China Hangzhou Dianzi Univ Sch Sci Hangzhou 310018 Zhejiang Peoples R China Jinan Univ Coll Informat Sci & Technol Guangzhou 510632 Guangdong Peoples R China Chinese Acad Sci Inst Informat Engn Beijing 100093 Peoples R China Tsinghua Univ Dept Math Sci Beijing 100084 Peoples R China
This paper contributes to increase our knowledge on generalized bent functions (including generalized bent Boolean functions and generalized p-ary bent functions with odd prime p) by bringing new results on their char... 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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