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Titlebook: Applications of Finite Fields; Ian F. Blake,XuHong Gao,Tomik Yaghoobian,Alfred J. Book 1993 Springer-Verlag US 1993 algorithms.coding theo

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發(fā)表于 2025-3-21 19:42:48 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱(chēng)Applications of Finite Fields
影響因子2023Ian F. Blake,XuHong Gao,Tomik Yaghoobian,Alfred J.
視頻videohttp://file.papertrans.cn/160/159429/159429.mp4
學(xué)科分類(lèi)The Springer International Series in Engineering and Computer Science
圖書(shū)封面Titlebook: Applications of Finite Fields;  Ian F. Blake,XuHong Gao,Tomik Yaghoobian,Alfred J. Book 1993 Springer-Verlag US 1993 algorithms.coding theo
影響因子The theory of finite fields, whose origins can be traced back to the works of Gauss and Galois, has played a part in various branches in mathematics. Inrecent years we have witnessed a resurgence of interest in finite fields, and this is partly due to important applications in coding theory and cryptography. The purpose of this book is to introduce the reader to some of these recent developments. It should be of interest to a wide range of students, researchers and practitioners in the disciplines of computer science, engineering and mathematics. We shall focus our attention on some specific recent developments in the theory and applications of finite fields. While the topics selected are treated in some depth, we have not attempted to be encyclopedic. Among the topics studied are different methods of representing the elements of a finite field (including normal bases and optimal normal bases), algorithms for factoring polynomials over finite fields, methods for constructing irreducible polynomials, the discrete logarithm problem and its implications to cryptography, the use of elliptic curves in constructing public key cryptosystems, and the uses of algebraic geometry in construct
Pindex Book 1993
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Construction of Irreducible Polynomials,metic in extension fields and are found in many applications, including coding theory [5], cryptography [13], computer algebra systems [11], multivariate polynomial factorization [21], and parallel polynomial arithmetic [18].
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Reference work 2013Latest editionInterest in normal bases over finite fields stems from both purely mathematical curiosity and practical applications. The practical aspects of normal bases will be treated in Chapter 5. In the present chapter, we discuss the theoretical aspects of normal bases over finite fields.
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Normal Bases,Interest in normal bases over finite fields stems from both purely mathematical curiosity and practical applications. The practical aspects of normal bases will be treated in Chapter 5. In the present chapter, we discuss the theoretical aspects of normal bases over finite fields.
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Affiliated Values Bidding Modeln is on the existence of certain types of bases, their duals and their enumeration. There has been considerable activity in this area in the past decade and while many of the questions are resolved, a few of the important ones remain open. The presentation here tries to complement that of Lidl and N
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