Advisor | Gopalakrishnan, Krishnan | |
Author | Childers, Logan | |
Date Accessioned | 2020-12-18T15:48:08Z | |
Date Available | 2020-12-18T15:48:08Z | |
Date Created | 2020-12 | |
Date of Issue | 2020-11-16 | |
xmlui.metadata.dc.date.submitted | December 2020 | |
Identifier (URI) | http://hdl.handle.net/10342/8803 | |
Description | Gopala-Hemachandra codes are a variation of the Fibonacci universal code and have applications in data compression and cryptography. We study a specific parameterization of Gopala-Hemachandra codes and present several results pertaining to these codes. We show that GH_{a}(n) always exists for any n >= 1, when -2 >= a >= -4, meaning that these are universal codes. We develop two new algorithms to determine whether a GH code exists for a given a and n, and to construct them if they exist. We also prove that when a = -(4+k), where k >= 1, that there are at most k consecutive integers for which GH codes do not exist. In 2014, Nalli and Ozyilmaz proposed a stream cipher based on GH codes. We show that this cipher is insecure and provide experimental results on the performance of our program that cracks this cipher. | |
Mimetype | application/pdf | |
Language | en | |
Publisher | East Carolina University | |
Subject | Zeckendorf Representation | |
Subject | Gopala-Hemachandra Codes | |
Subject | Data Compression | |
Subject | Fibonacci Code | |
Subject | Stream Ciphers | |
Subject | Cryptanalysis | |
Library of Congress Subject Headings | Fibonacci numbers | |
Library of Congress Subject Headings | Data compression (Computer science) | |
Library of Congress Subject Headings | Stream ciphers | |
Library of Congress Subject Headings | Cryptography | |
Title | Studies on Gopala-Hemachandra Codes and their Applications | |
Type | Master's Thesis | |
xmlui.metadata.dc.date.updated | 2020-12-18T14:31:31Z | |
Department | Computer Science | |
xmlui.metadata.dc.degree.name | M.S. | |
xmlui.metadata.dc.degree.level | Masters | |
xmlui.metadata.dc.degree.discipline | MS-Computer Science | |
xmlui.metadata.dc.degree.grantor | East Carolina University | |
xmlui.metadata.dc.degree.department | Computer Science | |
xmlui.metadata.dc.access.option | Open Access | |
xmlui.metadata.dc.type.material | text | |