The Rayleigh Quotient of Bent Functions
The Rayleigh Quotient of Bent Functions
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DOI：
10.1007/978-3-642-10868-6_25
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发表时间：
2009-12
期刊：
影响因子：
--
通讯作者：
Lars Eirik Danielsen;M. Parker;P. Solé
中科院分区：
文献类型：
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作者：
Lars Eirik Danielsen;M. Parker;P. Solé
Bent函数的Rayleigh商是在正交群作用下的不变量，它度量函数到其对偶的距离。一个有效的算法，产生所有的弯曲函数的瑞利商。本文计算了由初等（Maiorana麦克法兰，Dillon）或二级（直接和与间接和）构造得到的Bent函数的Rayleigh商。
The Rayleigh quotient of a bent function is an invariant under the action of the orthogonal group, and it measures the distance of the function to its dual. An efficient algorithm is derived that generates all bent functions of given Rayleigh quotient. The Rayleigh quotient of some bent functions obtained by primary (Maiorana McFarland, Dillon) or secondary (direct and indirect sum) constructions is computed.