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Arithmetic of Finite Fields
  • Language: en
  • Pages: 257

Arithmetic of Finite Fields

  • Type: Book
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  • Published: 2012-07-02
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 4th International Workshop on the Arithmetic of Finite Field, WAIFI 2012, held in Bochum, Germany, in July 2012. The 13 revised full papers and 4 invited talks presented were carefully reviewed and selected from 29 submissions. The papers are organized in topical sections on coding theory and code-based cryptography, Boolean functions, finite field arithmetic, equations and functions, and polynomial factorization and permutation polynomial.

Arithmetic of Finite Fields
  • Language: en
  • Pages: 214

Arithmetic of Finite Fields

  • Type: Book
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  • Published: 2015-02-21
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 5th International Workshop on the Arithmetic of Finite Field, WAIFI 2014, held in Gebze, Turkey, in September 2014. The 9 revised full papers and 43 invited talks presented were carefully reviewed and selected from 27 submissions. This workshop is a forum of mathematicians, computer scientists, engineers and physicists performing research on finite field arithmetic, interested in communicating the advances in the theory, applications, and implementations of finite fields. The workshop will help to bridge the gap between the mathematical theory of finite fields and their hardware/software implementations and technical applications.

Advances In Algebraic Geometry Codes
  • Language: en
  • Pages: 453

Advances In Algebraic Geometry Codes

Advances in Algebraic Geometry Codes presents the most successful applications of algebraic geometry to the field of error-correcting codes, which are used in the industry when one sends information through a noisy channel. The noise in a channel is the corruption of a part of the information due to either interferences in the telecommunications or degradation of the information-storing support (for instance, compact disc). An error-correcting code thus adds extra information to the message to be transmitted with the aim of recovering the sent information. With contributions from renowned researchers, this pioneering book will be of value to mathematicians, computer scientists, and engineers in information theory.

3rd International Castle Meeting on Coding Theory and Applications
  • Language: en
  • Pages: 289

3rd International Castle Meeting on Coding Theory and Applications

In 1999, a conference called International Meeting on Coding Theory and Cryptography took place at Mota Castle in Castilia (Spain). The conference had great acceptance within the community of coding theory and cryptography researchers. At that moment, and also nowadays, there are not many international workshops about these topics, at least if we compare with other mathematical and engineering subjects of research. Therefore, the general desire was to continue with more Castle Meetings. However, the following conference did not take place until 2008. In that case, the conference was called II International Castle Meeting on Coding Theory and Applications allowing more topics related to codin...

Proceedings of the First International Workshop on Coding and Cryptology, Wuyi Mountain, Fujian, China 11-15 June 2007
  • Language: en
  • Pages: 288

Proceedings of the First International Workshop on Coding and Cryptology, Wuyi Mountain, Fujian, China 11-15 June 2007

The thrid and final DVD in the ED'S STORY series contains the following films: My Garden and Ask Forgiveness My Garden: When we meet someone, one of the first questions we ask is, "So, what do you do?" It's easy to become wrapped up in a career or job. But who are we outside of our work? What happens when that job is no longer there? Are we still ourselves? A pastor for many years, Ed struggled to adjust to a life without the pulpit. But he eventually discovered there is much more to who we are than what we do. Ask Forgiveness: When Ed was told his life would be over in a few short years, he found his priorities drastically rearranged. Things that used to be important became mildly relevant, while things that didn't seem to matter were now all that did. Ed realized this probably meant he could have done certain things better. As he asked those around him for forgiveness, perhaps he also helped them to see what is truly important in his life.

Arithmetic, Geometry, Cryptography and Coding Theory
  • Language: en
  • Pages: 210

Arithmetic, Geometry, Cryptography and Coding Theory

This volume contains the proceedings of the 15th International Conference on Arithmetic, Geometry, Cryptography, and Coding Theory (AGCT), held at the Centre International de Rencontres Mathématiques in Marseille, France, from May 18–22, 2015. Since the first meeting almost 30 years ago, the biennial AGCT meetings have been one of the main events bringing together researchers interested in explicit aspects of arithmetic geometry and applications to coding theory and cryptography. This volume contains original research articles reflecting recent developments in the field.

Arithmetic, Geometry, Cryptography and Coding Theory
  • Language: en
  • Pages: 303

Arithmetic, Geometry, Cryptography and Coding Theory

This volume contains the proceedings of the 17th International Conference on Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-17), held from June 10–14, 2019, at the Centre International de Rencontres Mathématiques in Marseille, France. The conference was dedicated to the memory of Gilles Lachaud, one of the founding fathers of the AGC2T series. Since the first meeting in 1987 the biennial AGC2T meetings have brought together the leading experts on arithmetic and algebraic geometry, and the connections to coding theory, cryptography, and algorithmic complexity. This volume highlights important new developments in the field.

Arithmetic of Finite Fields
  • Language: en
  • Pages: 279

Arithmetic of Finite Fields

  • Type: Book
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  • Published: 2010-06-26
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  • Publisher: Springer

This book constitutes the refereed proceedings of the Third International Workshop on the Arithmetic of Finite Fields, WAIFI 2010, held in Istanbul, Turkey, in June 2010. The 15 revised full papers presented were carefully reviewed and selected from 33 submissions. The papers are organized in topical sections on efficient finite field arithmetic, pseudo-random numbers and sequences, Boolean functions, functions, Equations and modular multiplication, finite field arithmetic for pairing based cryptography, and finite field, cryptography and coding.

Coding Theory and Applications
  • Language: en
  • Pages: 306

Coding Theory and Applications

  • Type: Book
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  • Published: 2017-08-22
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  • Publisher: Springer

This book constitutes the refereed proceedings of the 5th International Castle Meeting on Coding Theory and Applications, ICMCTA 2017, held in Vihula, Estonia, in August 2017. The 24 full papers presented were carefully reviewed and selected for inclusion in this volume. The papers cover relevant research areas in modern coding theory, including codes and combinatorial structures, algebraic geometric codes, group codes, convolutional codes, network coding, other applications to communications, and applications of coding theory in cryptography.

Arithmetic, Geometry, Cryptography and Coding Theory
  • Language: en
  • Pages: 194

Arithmetic, Geometry, Cryptography and Coding Theory

This volume contains the proceedings of the 13th $\mathrm{AGC^2T}$ conference, held March 14-18, 2011, in Marseille, France, together with the proceedings of the 2011 Geocrypt conference, held June 19-24, 2011, in Bastia, France. The original research articles contained in this volume cover various topics ranging from algebraic number theory to Diophantine geometry, curves and abelian varieties over finite fields and applications to codes, boolean functions or cryptography. The international conference $\mathrm{AGC^2T}$, which is held every two years in Marseille, France, has been a major event in the area of applied arithmetic geometry for more than 25 years.