A note on vectorial bent functions

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• 作者：Deshuai Dong ; Xue Zhang ; Longjiang Qu ; Shaojing Fu
• 关键词：Cryptography ; Boolean functions ; Nonlinearity ; Bent function ; Vectorial functions
• 刊名：Information Processing Letters
• 出版年：2013
• 出版时间：November-December, 2013
• 年：2013
• 卷：113
• 期：22-24
• 页码：866-870
• 全文大小：226 K

文摘

In this paper we give three methods on the constructions of vectorial bent functions from to , where n is a positive even integer. The first two kinds of functions are based on monomial bent functions. The third kind of functions are based on partial spreads bent functions, and those vectorial bent functions can achieve the largest algebraic degree.