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Kosek Master's Thesis.pdf (253.41 KB)
ETD Abstract Container
Abstract Header
Error Correcting Codes
Author Info
Kosek, Peter M
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1417508067
Abstract Details
Year and Degree
2014, Master of Science, Ohio State University, Mathematics.
Abstract
Error correcting codes is an area of mathematics that combines many theoretical concepts with a wide variety of applications. In this expository thesis, we will begin by introducing many of the fundamental ideas in classical error correcting codes. The goal of this is to introduce the reader to the field of coding theory and discuss a few of the wide range of classical codes that have been studied. The second section will discuss the recent findings in error correcting codes, namely their use in quantum error correcting codes. This section uses much more theoretical areas of math, when compared to the classical section, in the construction of quantum error correcting codes. Most of the research discussed in this section has been completed within the past six years. All of the research discoveries presented in this thesis have been previously known.
Committee
Matthew Kahle, PhD (Advisor)
David Sivakoff, PhD (Committee Member)
Pages
41 p.
Subject Headings
Mathematics
Keywords
error correcting codes
;
quantum error correcting codes
;
QECC
;
coding theory
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Citations
Kosek, P. M. (2014).
Error Correcting Codes
[Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1417508067
APA Style (7th edition)
Kosek, Peter.
Error Correcting Codes.
2014. Ohio State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1417508067.
MLA Style (8th edition)
Kosek, Peter. "Error Correcting Codes." Master's thesis, Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1417508067
Chicago Manual of Style (17th edition)
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Document number:
osu1417508067
Download Count:
3,008
Copyright Info
© 2014, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.