1,331 research outputs found
Group theory in cryptography
This paper is a guide for the pure mathematician who would like to know more
about cryptography based on group theory. The paper gives a brief overview of
the subject, and provides pointers to good textbooks, key research papers and
recent survey papers in the area.Comment: 25 pages References updated, and a few extra references added. Minor
typographical changes. To appear in Proceedings of Groups St Andrews 2009 in
Bath, U
A Comparison of Cryptography Courses
The author taught two courses on cryptography, one at Duke University aimed
at non-mathematics majors and one at Rose-Hulman Institute of Technology aimed
at mathematics and computer science majors. Both tried to incorporate technical
and societal aspects of cryptography, with varying emphases. This paper will
discuss the strengths and weaknesses of both courses and compare the
differences in the author's approach.Comment: 14 pages; to appear in Cryptologi
Cryptography: Mathematical Advancements on Cyber Security
The origin of cryptography, the study of encoding and decoding messages, dates back to ancient times around 1900 BC. The ancient Egyptians enlisted the use of basic encryption techniques to conceal personal information. Eventually, the realm of cryptography grew to include the concealment of more important information, and cryptography quickly became the backbone of cyber security. Many companies today use encryption to protect online data, and the government even uses encryption to conceal confidential information. Mathematics played a huge role in advancing the methods of cryptography. By looking at the math behind the most basic methods to the newest methods of cryptography, one can learn how cryptography has advanced and will continue to advance
09031 Abstracts Collection -- Symmetric Cryptography
From 11.01.09 to 16.01.09, the Seminar 09031 in
``Symmetric Cryptography \u27\u27 was held
in Schloss Dagstuhl~--~Leibniz Center for Informatics.
During the seminar, several participants presented their current
research, and ongoing work and open problems were discussed. Abstracts of
the presentations given during the seminar as well as abstracts of
seminar results and ideas are put together in this paper. The first section
describes the seminar topics and goals in general.
Links to extended abstracts or full papers are provided, if available
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