International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Martin Hell

Affiliation: Lund University

Publications

Year
Venue
Title
2015
EPRINT
2014
JOFC
2011
JOFC
2009
FSE
2008
ASIACRYPT
2007
ASIACRYPT
2007
FSE
2005
FSE
2004
FSE
2004
EPRINT
Plateaued Rotation Symmetric Boolean Functions on Odd Number of Variables
The class of Rotation Symmetric Boolean Functions (RSBFs) has received serious attention recently in searching functions of cryptographic significance. These functions are invariant under circular translation of indices. In this paper we study such functions on odd number of variables and interesting combinatorial properties related to Walsh spectra of such functions are revealed. In particular we concentrate on plateaued functions (functions with three valued Walsh spectra) in this class and derive necessary conditions for existence of balanced rotation symmetric plateaued functions. As application of our result we show the non existence of 9-variable, 3-resilient RSBF with nonlinearity 240 that has been posed as an open question in FSE 2004. Further we show how one can make efficient search in the space of RSBFs based on our theoretical results and as example we complete the search for unbalanced 9-variable, 3rd order correlation immune plateaued RSBFs with nonlinearity 240.

Program Committees

FSE 2014
FSE 2013
FSE 2012