Galois Fields Linear Feedback Shift Registers and their Applications

Focus on Applications This book gives an excellent introduction to finite groups and fields as well as their applications. Readers learn to understand and use galois fields and their relationship with linear feedback shift registers. The book has a strong focus on the technical application of galois fields, such as navigation systems and cryptography. Includes: Finite Groups and Fields; Working with Galois Fields; Linear Feedback Shift Registers (LFSR); Auto- and Crossrelation Functions; Applications: Navigation Systems, Cryptographical Applications, Channel Coding, Mobile Communication Systems

Produk Detail:

  • Author : Ulrich Jetzek
  • Publisher : Carl Hanser Verlag GmbH Co KG
  • Pages : 224 pages
  • ISBN : 3446456139
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKGalois Fields Linear Feedback Shift Registers and their Applications

Galois Fields, Linear Feedback Shift Registers and their Applications

Galois Fields, Linear Feedback Shift Registers and their Applications
  • Author : Ulrich Jetzek
  • Publisher : Carl Hanser Verlag GmbH Co KG
  • Release : 09 July 2018
GET THIS BOOKGalois Fields, Linear Feedback Shift Registers and their Applications

Focus on Applications This book gives an excellent introduction to finite groups and fields as well as their applications. Readers learn to understand and use galois fields and their relationship with linear feedback shift registers. The book has a strong focus on the technical application of galois fields, such as navigation systems and cryptography. Includes: Finite Groups and Fields; Working with Galois Fields; Linear Feedback Shift Registers (LFSR); Auto- and Crossrelation Functions; Applications: Navigation Systems, Cryptographical Applications, Channel Coding, Mobile

Algebraic Shift Register Sequences

Algebraic Shift Register Sequences
  • Author : Mark Goresky,Andrew Klapper
  • Publisher : Cambridge University Press
  • Release : 02 February 2012
GET THIS BOOKAlgebraic Shift Register Sequences

Pseudo-random sequences are essential ingredients of every modern digital communication system including cellular telephones, GPS, secure internet transactions and satellite imagery. Each application requires pseudo-random sequences with specific statistical properties. This book describes the design, mathematical analysis and implementation of pseudo-random sequences, particularly those generated by shift registers and related architectures such as feedback-with-carry shift registers. The earlier chapters may be used as a textbook in an advanced undergraduate mathematics course or a graduate electrical engineering course; the more advanced

Topics in Galois Fields

Topics in Galois Fields
  • Author : Dirk Hachenberger,Dieter Jungnickel
  • Publisher : Unknown Publisher
  • Release : 28 February 2021
GET THIS BOOKTopics in Galois Fields

This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields. We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize

Finite Fields and Their Applications

Finite Fields and Their Applications
  • Author : Pascale Charpin,Alexander Pott,Arne Winterhof
  • Publisher : Walter de Gruyter
  • Release : 28 May 2013
GET THIS BOOKFinite Fields and Their Applications

This book is based on the invited talks of the "RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials" held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012. Finite fields play important roles in many application areas such as coding theory, cryptography, Monte Carlo and quasi-Monte Carlo methods, pseudorandom number generation, quantum computing, and wireless communication. In this book we will focus on sequences, character sums, and polynomials over finite fields in

Sequences and Their Applications - SETA 2004

Sequences and Their Applications - SETA 2004
  • Author : Tor Helleseth,Dilip Sarwate,Hong-Yeop Song,Kyeongcheol Yang
  • Publisher : Springer Science & Business Media
  • Release : 01 June 2005
GET THIS BOOKSequences and Their Applications - SETA 2004

This book constitutes the thoroughly refereed post-proceedings of the Third International Conference on Sequences and Their Applications, SETA 2004, held in Seoul, Korea in October 2004. The 30 revised full papers presented together with 4 invited survey articles were carefully selected during two rounds of reviewing and improvement from initially 59 submissions. The papers are organized in topical sections on complexity of sequences, perfect sequences, sequence construction, sequences modulo z, sequence generator properties and applications, multi-dimensional sequences, optics and OFDM applications, and polynomials and functions.

Algebraic Curves and Finite Fields

Algebraic Curves and Finite Fields
  • Author : Harald Niederreiter,Alina Ostafe,Daniel Panario,Arne Winterhof
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 20 August 2014
GET THIS BOOKAlgebraic Curves and Finite Fields

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,

Finite Fields

Finite Fields
  • Author : Rudolf Lidl,Harald Niederreiter
  • Publisher : Cambridge University Press
  • Release : 01 January 1997
GET THIS BOOKFinite Fields

This book is devoted entirely to the theory of finite fields.

Analysis and Design of Stream Ciphers

Analysis and Design of Stream Ciphers
  • Author : Rainer A. Rueppel
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKAnalysis and Design of Stream Ciphers

It is now a decade since the appearance of W. Diffie and M. E. Hellmann's startling paper, "New Directions in Cryptography". This paper not only established the new field of public-key cryptography but also awakened scientific interest in secret-key cryptography, a field that had been the almost exclusive domain of secret agencies and mathematical hobbyist. A number of ex cellent books on the science of cryptography have appeared since 1976. In the main, these books thoroughly treat both public-key systems and

Stream Ciphers

Stream Ciphers
  • Author : Andreas Klein
  • Publisher : Springer Science & Business Media
  • Release : 08 April 2013
GET THIS BOOKStream Ciphers

In cryptography, ciphers is the technical term for encryption and decryption algorithms. They are an important sub-family that features high speed and easy implementation and are an essential part of wireless internet and mobile phones. Unlike block ciphers, stream ciphers work on single bits or single words and need to maintain an internal state to change the cipher at each step. Typically stream ciphers can reach higher speeds than block ciphers but they can be more vulnerable to attack. Here,