The Existence of a Class of Balanced Multi‐output Rotation Symmetric Boolean Functions. Issue 5 (1st September 2018)

• Record Type: Journal Article
• Authors: Du, Jiao; Fu, Shaojing; Qu, Longjiang; Li, Chao; Pang, Shanqi
• Is Part Of: Chinese journal of electronics. Volume 27:Issue 5(2018)
• Page Start: 995
• Page End: 1001
• Publication Date: 2018-09-01
• Subjects: Cryptography -- Rotation symmetric -- Orbit matrix -- Correlation immune -- Resilient functions; Boolean functions; balanced multioutput rotation symmetric boolean functions -- odd prime; Electronics -- Periodicals; Electronics -- China -- Periodicals; Electronics; China; Periodicals; 621.38105
• DOI: 10.1049/cje.2018.04.005
• Languages: English
• ISSNs: 1022-4653

Abstract

Abstract : 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.