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1887

access icon free The Existence of a Class of Balanced Multi-output Rotation Symmetric Boolean Functions

A new characterization of balanced rotation symmetric (n, m)-functions is presented. Based on the characterization, the nonexistence of balanced rotation symmetric (p r , m)-functions is determined, where p is an odd prime and m ≥ 2. And there exist balanced rotation symmetric (2 r , m)-functions for 2 ≤ m ≤ 2 r r. With the help of these results, we also prove that there exist rotation symmetric resilient (2 r , m)-functions for 2 ≤ m ≤ 2 r r − 1.

http://iet.metastore.ingenta.com/content/journals/10.1049/cje.2018.04.005
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content/journals/10.1049/cje.2018.04.005
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