An analysis of cryptographically significant Boolean functions with high correlation immunity by reconfigurable computer
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Authors
Etherington, Carole J.
Subjects
Advisors
Butler, Jon T.
Stanica, Pantelimon
Date of Issue
2010-12
Date
Publisher
Monterey, California. Naval Postgraduate School
Language
Abstract
Boolean functions with high correlation immunity can be used in cryptosystems to defend against correlation attacks. These functions are rare and difficult to find. As the variables increase, this task becomes exponentially more complex and time consuming. Three different ways to execute a program to find the correlation immunity of a function are compared in this thesis. First, a program was written in C and executed on a conventional CPU. The same program was then executed on an FPGA on the SRC-6 reconfigurable computer. A similar program was written in Verilog and executed on the FPGA. By taking advantage of the parallel processing ability of the SRC-6, a wellprogrammed Verilog macro can find functions with high correlation immunity at a much faster rate. The SRC-6 reconfigurable computer is used in this thesis to find the correlation immunity of millions of functions up to six variables. Rotation symmetric and balanced functions were examined to find subsets that contain a high percentage of functions with good correlation immunity. The nonlinearity and correlation immunity of functions of four and five variables were compared to find functions with the best balance to fend off both correlation and linear attacks on a cryptosystem.
Type
Thesis
Description
Series/Report No
Department
Electrical Engineering
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
xx, 108 p. ;
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
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.