| Self-Dual Hadamard Bent Sequences |
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| 作者姓名： | SHI Minjia LI Yaya CHENG Wei CRNKOVI? Dean KROTOV Denis SOLé Patrick |
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| 作者单位： | 1. Key Laboratory of Intelligent Computing Signal Processing, Ministry of Education, School of Mathematical Sciences, Anhui University;2. State Key Laboratory of Information Security (Institute of Information Engineering), Chinese Academy of Sciences;3. LTCI, Télécom Paris;5. Faculty of Mathematics, University of Rijeka;7. Aix Marseille Univ, CNRS, Centrale Marseille |
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| 基金项目： | supported in part by the National Natural Science Foundation of China under Grant No. 12071001； |
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| 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 ...
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