Normal extensions of bent functions

IEEE Transactions on Information Theory

Volumn 50, Issue 11, 2004, Pages 2880-2885

  Carlet, Claude ^a,b   Dobbertin, Hans ^c   Leander, Gregor ^c  

^a INRIA   (France)

^b UNIVERSITÉ PARIS 8   (France)

^c RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOOLEAN FUNCTIONS; FOURIER TRANSFORMS; THEOREM PROVING; VECTORS; WALSH TRANSFORMS;

BENT FUNCTIONS; MAXIMALLY NONLINEAR; NORMAL EXTENSION;

INFORMATION THEORY;

EID: 8144221795     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2004.836681     Document Type: Article

References (8)

1. A. Braeken, M. Daum, G. Leander, and C. Wolf, "An algorithm for checking totally non-normality," preprint, 2004.
2. A. Canteaut, M. Daum, H. Dobbertin, and G. Leander, "Normal and non normal bent functions," in Proc. Workshop Coding and Cryptography (WCC 2003), Versailles, France, Mar. 2003, pp. 91-100.
3. C. Carlet, "A construction of bent functions," in Finite Fields and Applications. Cambridge, U.K.: Cambridge Univ. Press, 1996, London Mathematical Society Lecture Series 233, pp. 47-58.
4. C. Carlet, "On the secondary constructions of resilient and bent functions," in Proc. Workshop on Coding, Cryptography and Combinatorics 2003, K. Feng, H. Niederreiter, and C Xing, Eds. Basel, Switzerland: Birkhäser-Verlag, 2004, pp. 3-28.
5. M. Daum, H. Dobbertin, and G. Leander, "An algorithm for checking normality of Boolean functions," in Proc. Workshop on Coding and Cryptography (WCC 2003), Versailles, France, Mar. 2003, pp. 133-142.
6. J. F. Dillon and H. Dobbertin, "New cyclic difference sets with Singer parameters," Finite Fields their Applic., pp. 342-389, 2004.
7. S. Dubuc-Camus, "Etude des Fonctions Booléennes Dé générées et Sans Corrélation," Ph.D. dissertation, Université de Caen, Caen, France, 1998.
8. S. Gangopadhyay and S. Maitra, personal communication.