جبر برای برنامه های کاربردی: رمزنگاری ، راز به اشتراک گذاری، تصحیح خطا ، انگشت نگاری ، فشرده سازی Algebra for Applications: Cryptography, Secret Sharing, Error-Correcting, Fingerprinting, Compression
- نوع فایل : کتاب
- زبان : انگلیسی
- نویسنده : Arkadii Slinko
- ناشر : Springer
- چاپ و سال / کشور: 2015
- شابک / ISBN : 3319219502, 9783319219509
Description
This book examines the relationship between mathematics and data in the modern world. Indeed, modern societies are awash with data which must be manipulated in many different ways: encrypted, compressed, shared between users in a prescribed manner, protected from an unauthorised access and transmitted over unreliable channels. All of these operations can be understood only by a person with knowledge of basics in algebra and number theory.This book provides the necessary background in arithmetic, polynomials, groups, fields and elliptic curves that is sufficient to understand such real-life applications as cryptography, secret sharing, error-correcting, fingerprinting and compression of information. It is the first to cover many recent developments in these topics. Based on a lecture course given to third-year undergraduates, it is self-contained with numerous worked examples and exercises provided to test understanding. It can additionally be used for self-study.
