An Optimized Method for Multiple Output Bent Functions
Wang Xuan-ming · Dianzi xuebao · 2005
Kaisa Nyberg and Takashi Satoh gave some methods for constructing multiple ou tput bent functions in paper[1,2] respectively,while these bent functions belo ng to Maiorana-McFarland bent functions.In this paper,an optimizing method for multiple output bent functions in paper[1,2] is presented by using Cryptograph ic functions` input-variety compounding reversible transform.As a result,many n ew multiple output bent functions were obtained,and these functions have followi ng properties:(1)they do not belong to Maiorana-McFarland bent functions;(2)the y have highest algebraic degree and maximal number of output bits;(3)they also h ave good construction number.Moreover,it also means that compounding reversible transform is very useful for constructing good Cryptographic functions and the m ethod is concise and easily implemented.