File:Affine equivalence and constructions of cryptographically strong Boolean functions (IA affineequivalenc1094537602).pdf
Original file (1,275 × 1,650 pixels, file size: 2.88 MB, MIME type: application/pdf, 176 pages)
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Summary[edit]
Affine equivalence and constructions of cryptographically strong Boolean functions ( ) | |
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Author |
Chung, Jong Ho |
Title |
Affine equivalence and constructions of cryptographically strong Boolean functions |
Publisher |
Monterey, California: Naval Postgraduate School |
Description |
In this thesis, we study a type of affine equivalence for the monomial rotation-symmetric (MRS) Boolean func-tions and two new construction techniques for cryptographic Boolean functions based on the affine equivalence of cryptographically strong base functions and fast Boolean operations. Affine equivalence of cryptographic Boolean functions presents a formidable challenge to researchers, due to its complexity and size of the search space. We focus on an affine equivalence based on permutation of variables for MRS Boolean functions and their relationship to circulant matrices over the binary field F2 and regular graphs. We first establish a relationship between generalized inverses of circulant matrices in F2 and their generating polynomials. We then apply the relationship to gain insight into necessary conditions for the affine equivalence, based on permutations of variables for MRS Boolean functions. We also propose a theoretical connection between regular graphs and MRS Boolean functions to further our study in affine equivalence. Finally, we present two constructions for Boolean functions with good cryptographic properties. The constructions take advantage of two affine-equivalent base functions with strong cryptographic properties. We analyze the cryptographic properties of the constructions and demonstrate an application with these base functions, called the hidden weighted-bit functions. Subjects: Boolean Function; Cryptography; Affine Equivalence |
Language | English |
Publication date | September 2013 |
Current location |
IA Collections: navalpostgraduateschoollibrary; fedlink |
Accession number |
affineequivalenc1094537602 |
Source | |
Permission (Reusing this file) |
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. As such, it is in the public domain, and under the provisions of Title 17, United States Code, Section 105, may not be copyrighted. |
Licensing[edit]
Public domainPublic domainfalsefalse |
This file is a work of a U.S. Army soldier or employee, taken or made as part of that person's official duties. As a work of the U.S. federal government, it is in the public domain in the United States.
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current | 01:33, 14 July 2020 | 1,275 × 1,650, 176 pages (2.88 MB) | Fæ (talk | contribs) | FEDLINK - United States Federal Collection affineequivalenc1094537602 (User talk:Fæ/IA books#Fork8) (batch 1993-2020 #5686) |
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Author | Jong Chung |
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Short title |
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Image title | |
Date and time of digitizing | 02:55, 12 September 2013 |
Software used | LaTeX with hyperref package |
File change date and time | 05:34, 23 October 2013 |
Date metadata was last modified | 05:34, 23 October 2013 |
Keywords | npsKeywords |
Conversion program | NPS LaTeX Style Guide, c/o rob@iharder.net |
Encrypted | no |
Page size | 612 x 792 pts (letter) |
Version of PDF format | 1.4 |