Please use this identifier to cite or link to this item: https://doi.org/10.1587/transfun.E94.A.165
Title: Several classes of even-variable balanced boolean functions with optimal algebraic immunity
Authors: Tan, C.-H. 
Goh, S.-T. 
Keywords: Boolean function
Cryptography
Nonlinearity
Optimal algebraic immunity
Issue Date: Jan-2011
Citation: Tan, C.-H., Goh, S.-T. (2011-01). Several classes of even-variable balanced boolean functions with optimal algebraic immunity. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E94-A (1) : 165-171. ScholarBank@NUS Repository. https://doi.org/10.1587/transfun.E94.A.165
Abstract: In this paper, we constructed six infinite classes of balanced Boolean functions. These six classes of Boolean functions achieved optimal algebraic degree, optimal algebraic immunity and high nonlinear ity. Furthermore, we gave the proof of the lower bound of the nonlinearities of these balanced Boolean functions and proved the better lower bound of nonlinearity for Carlet-Feng's Boolean function. Copyright © 2011 The Institute of Electronics, Information and Communication Engineers.
Source Title: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
URI: http://scholarbank.nus.edu.sg/handle/10635/115492
ISSN: 09168508
DOI: 10.1587/transfun.E94.A.165
Appears in Collections:Staff Publications

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