New constructions of semi-bent functions in polynomial forms

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• 作者：Deshuai Dong^a ; ^{dongdeshuai@gmail.com} ; Longjiang Qu^a ; Shaojing Fu^b ; Chao Li^a ; ^b
• 关键词：Boolean functions ; Semi-bent functions ; Hadamard transform
• 刊名：Mathematical and Computer Modelling
• 出版年：2013
• 出版时间：March, 2013
• 年：2013
• 卷：57
• 期：5-6
• 页码：1139-1147
• 全文大小：228 K

文摘

Semi-bent functions are a kind of useful functions in cryptography. In this paper we give new constructions of -variable quadratic semi-bent functions in polynomial forms for both odd and even , and we also present many -variable semi-bent functions with few trace terms when is even.