UID:
almahu_9949462258302882
Format:
1 online resource (240 p.)
ISBN:
9783110317916
,
9783110238570
Series Statement:
Radon Series on Computational and Applied Mathematics , 16
Content:
Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the appearance of new topics such as modern cryptography, coding theory, and wireless communication. Nowadays we find applications of algebra and number theory frequently in our daily life. We mention security and error detection for internet banking, check digit systems and the bar code, GPS and radar systems, pricing options at a stock market, and noise suppression on mobile phones as most common examples. This book collects the results of the workshops "Applications of algebraic curves" and "Applications of finite fields" of the RICAM Special Semester 2013. These workshops brought together the most prominent researchers in the area of finite fields and their applications around the world. They address old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics.
Note:
Frontmatter --
,
Introduction --
,
Contents --
,
Generic Newton polygons for curves of given p-rank --
,
Good towers of function fields --
,
Correlation-immune Boolean functions for easing counter measures to side-channel attacks --
,
The discrete logarithm problem with auxiliary inputs --
,
Garden of curves with many automorphisms --
,
Nonlinear shift registers - A survey and challenges --
,
Permutations of finite fields and uniform distribution modulo 1 --
,
Semifields, relative difference sets, and bent functions --
,
NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings --
,
Analog of the Kronecker-Weber theorem in positive characteristic --
,
Index --
,
Backmatter
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
In:
EBOOK PACKAGE Complete Package 2014, De Gruyter, 9783110369526
In:
EBOOK PACKAGE Mathematics, Physics 2014, De Gruyter, 9783110370355
In:
Radon Series on Applied Mathematics eBook-Package, De Gruyter, 9783110647174
Additional Edition:
ISBN 9783110379556
Additional Edition:
ISBN 9783110317886
Language:
English
Subjects:
Mathematics
Keywords:
Konferenzschrift
DOI:
10.1515/9783110317916
URL:
https://doi.org/10.1515/9783110317916
URL:
https://www.degruyter.com/isbn/9783110317916
URL:
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