Self-Dual Hadamard Bent Sequences  

作　　者：SHI Minjia LI Yaya CHENG Wei CRNKOVIC Dean KROTOV Denis SOLéPatrick 

机构地区：[1]Key Laboratory of Intelligent Computing Signal Processing,Ministry of Education,School of Mathematical Sciences,Anhui University,Hefei 230601,China [2]State Key Laboratory of Information Security(Institute of Information Engineering),Chinese Academy of Sciences,Beijing 100093,China. [3]LTCI,Télécom ParisParis,91120 Palaiseau,France [4]Secure-IC S.A.S.,104 Bd du Montparnasse,75014 Paris [5]Faculty of Mathematics,University of Rijeka,Novosibirsk 630090,Russia [6]Sobolev Institute of Mathematics,Novosibirsk 630090,Russia [7]Aix Marseille Univ,CNRS,Centrale Marseille,I2M,Marseille,France

出　　处：《Journal of Systems Science & Complexity》2023年第2期894-908,共15页系统科学与复杂性学报（英文版）

基　　金：supported in part by the National Natural Science Foundation of China under Grant No.12071001;The work of Dean Crnkovi?is supported by Croatian Science Foundation under the project 6732。

摘　　要：A new notion of bent sequence related to Hadamard matrices was introduced recently,motivated by a security application(Solé,et al.,2021).The authors study the self-dual class in length at most 196.The authors use three competing methods of generation:Exhaustion,Linear Algebra and Gr?bner bases.Regular Hadamard matrices and Bush-type Hadamard matrices provide many examples.The authors conjecture that if v is an even perfect square,a self-dual bent sequence of length v always exists.The authors introduce the strong automorphism group of Hadamard matrices,which acts on their associated self-dual bent sequences.The authors give an efficient algorithm to compute that group.

关 键 词：Bent sequences bush-type Hadamard matrices Hadanard matrices PUF functions regular Hadamard matrices 

分 类 号：O151.21[理学—数学]