Results on rotation symmetric bent and correlation immune Boolean function
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Authors
Stănică, Pantelimon
Maitra, Subhamoy
Clark, John A.
Subjects
rotation symmetric Boolean function
bent function
balancedness
nonlinearity
autocorrelation
correlation immunity
resilency
bent function
balancedness
nonlinearity
autocorrelation
correlation immunity
resilency
Advisors
Date of Issue
2014
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Abstract
Recent research shows that the class of Rotation Symmetric Boolean Functions (RBFs), i.e., the class of Boolean functions that are invariant under circular translation of indices, is potentially rich in functions of cryptographic significance. Here we present new results regarding the Rotation Symmetric (rote) correlation immune (CI) and bent functions. We present important data structures for efficient search strategy of rots bent and CI functions. Further, we prove the nonexistance of homogeneous rots bent functins of degree > 3 on a single cycle.
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Article
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Department
Applied Mathematics
Organization
Naval Postgraduate School (U.S.)
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This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.