Title :
New classes of generalized boolean bent functions over Z4
Author :
Li, Nian ; Tang, Xiaohu ; Helleseth, Tor
Author_Institution :
Inst. of Mobile Commun., Southwest Jiaotong Univ., Chengdu, China
Abstract :
New quadratic bent functions in polynomial forms are constructed in this paper. The constructions give new boolean bent and generalized boolean bent functions. Based on Z4-valued quadratic forms, a simple method provides several new constructions of generalized boolean bent functions. From these generalized boolean bent functions a method is presented to transform them into binary bent and semi-bent functions.
Keywords :
Boolean functions; polynomials; Z4-valued quadratic forms; generalized Boolean bent functions; polynomial forms; quadratic bent functions; semi-bent functions; Boolean functions; Cryptography; Educational institutions; Electronic mail; Information theory; Polynomials; Transforms;
Conference_Titel :
Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on
Conference_Location :
Cambridge, MA
Print_ISBN :
978-1-4673-2580-6
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2012.6284679
