WorldCat Identities

Yaghoobian, Tomik

Works: 4 works in 9 publications in 1 language and 66 library holdings
Genres: Academic theses 
Roles: Author
Classifications: TA331, 003
Publication Timeline
Most widely held works by Tomik Yaghoobian
Applications of finite fields by Ian F Blake( )

3 editions published in 1993 in English and held by 59 WorldCat member libraries worldwide

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 constructing good error-correcting codes. To limit the size of the volume we have been forced to omit some important applications of finite fields. Some of these missing applications are briefly mentioned in the Appendix along with some key references
On Reed-Solomon and algebraic geometry codes by Tomik Yaghoobian( Book )

3 editions published in 1993 in English and held by 4 WorldCat member libraries worldwide

Permutation codes for a Gaussian channel by Tomik Yaghoobian( Book )

2 editions published between 1989 and 1990 in English and held by 2 WorldCat member libraries worldwide

On Reed-Solomon and algebraic codes by Tomik Yaghoobian( Book )

1 edition published in 1993 in English and held by 1 WorldCat member library worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.71 (from 0.70 for Applicatio ... to 0.86 for On Reed-So ...)

Applications of finite fields