Mullen, Gary L.
Overview
Works:  47 works in 200 publications in 1 language and 4,028 library holdings 

Genres:  Conference papers and proceedings Textbooks 
Roles:  Author, Editor, Creator, Other, Thesis advisor 
Classifications:  QA247.3, 512.3 
Publication Timeline
.
Most widely held works by
Gary L Mullen
Finite fields and applications : 7th International Conference, Fq7 Toulouse, France, May 59, 2003 : revised papers by International Conference on Finite Fields and Applications(
)
15 editions published between 2004 and 2005 in English and held by 789 WorldCat member libraries worldwide
This book constitutes the thoroughly refereed postproceedings of the 7th International Conference on Finite Fields and Applications, Fq7, held in Toulouse, France, in May 2004. The 19 revised full papers presented were carefully selected from around 60 presentations at the conference during two rounds of reviewing and revision. Among the topics addressed are Weierstrass semigroups, Galois rings, hyperelliptic curves, polynomial irreducibility, pseudorandom number sequences, permutation polynomials, random polynomials, matrices, function fields, ramified towers, BCH codes, cyclic codes, primitive polynomials, covering sequences, cyclic decompositions
15 editions published between 2004 and 2005 in English and held by 789 WorldCat member libraries worldwide
This book constitutes the thoroughly refereed postproceedings of the 7th International Conference on Finite Fields and Applications, Fq7, held in Toulouse, France, in May 2004. The 19 revised full papers presented were carefully selected from around 60 presentations at the conference during two rounds of reviewing and revision. Among the topics addressed are Weierstrass semigroups, Galois rings, hyperelliptic curves, polynomial irreducibility, pseudorandom number sequences, permutation polynomials, random polynomials, matrices, function fields, ramified towers, BCH codes, cyclic codes, primitive polynomials, covering sequences, cyclic decompositions
Finite fields and applications by
Gary L Mullen(
Book
)
30 editions published between 2007 and 2012 in English and held by 655 WorldCat member libraries worldwide
Introduction to the theory of finite fields and to some of their many applications. The first chapter is devoted to the theory of finite fields. After covering their construction and elementary properties, the authors discuss the trace and norm functions, bases for finite fields, and properties of polynomials over finite fields. Chapter 2 deals with combinatorial topics such as the construction of sets of orthogonal Latin squares, affine and projective planes, block designs, and Hadamard matrices. Chapters 3 and 4 provide a number of constructions and basic properties of errorcorrecting codes and cryptographic systems using finite fields. Appendix A provides a brief review of the basic number theory and abstract algebra used in the text. Appendix B provides hints and partial solutions for many of the exercises in each chapter.From publisher description
30 editions published between 2007 and 2012 in English and held by 655 WorldCat member libraries worldwide
Introduction to the theory of finite fields and to some of their many applications. The first chapter is devoted to the theory of finite fields. After covering their construction and elementary properties, the authors discuss the trace and norm functions, bases for finite fields, and properties of polynomials over finite fields. Chapter 2 deals with combinatorial topics such as the construction of sets of orthogonal Latin squares, affine and projective planes, block designs, and Hadamard matrices. Chapters 3 and 4 provide a number of constructions and basic properties of errorcorrecting codes and cryptographic systems using finite fields. Appendix A provides a brief review of the basic number theory and abstract algebra used in the text. Appendix B provides hints and partial solutions for many of the exercises in each chapter.From publisher description
Finite fields, coding theory, and advances in communications and computing by Coding Theory, and Advances in Communications and Computing International Conference on Finite Fields(
)
10 editions published in 1993 in English and held by 613 WorldCat member libraries worldwide
10 editions published in 1993 in English and held by 613 WorldCat member libraries worldwide
Handbook of finite fields by
Gary L Mullen(
)
17 editions published in 2013 in English and held by 305 WorldCat member libraries worldwide
"Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile stateoftheart research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate uptodate facts and results regarding finite fields"
17 editions published in 2013 in English and held by 305 WorldCat member libraries worldwide
"Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile stateoftheart research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate uptodate facts and results regarding finite fields"
Finite fields : theory, applications, and algorithms by
Applications, and Algorithms (1993, Las Vegas, Nev.) International Conference on Finite Fields: Theory(
Book
)
18 editions published between 1993 and 2012 in English and held by 272 WorldCat member libraries worldwide
18 editions published between 1993 and 2012 in English and held by 272 WorldCat member libraries worldwide
Finite fields : theory, applications, and algorithms : Fourth International Conference on Finite Fields Theory, Applications,
and Algorithms, August 1215, 1997, University of Waterloo, Ontario, Canada by Applications, and Algorithms International Conference on Finite Fields: Theory(
Book
)
15 editions published between 1998 and 2012 in English and held by 266 WorldCat member libraries worldwide
15 editions published between 1998 and 2012 in English and held by 266 WorldCat member libraries worldwide
Discrete mathematics using Latin squares by
Charles F Laywine(
Book
)
10 editions published in 1998 in English and held by 228 WorldCat member libraries worldwide
An intuitive and accessible approach to discrete mathematics using Latin squares. In the past two decades, researchers have discovered a range of uses for Latin squares that go beyond standard mathematics. People working in the fields of science, engineering, statistics, and even computer science all stand to benefit from a working knowledge of Latin squares. Discrete Mathematics Using Latin Squares is the only upperlevel college textbook/professional reference that fully engages the subject and its many important applications
10 editions published in 1998 in English and held by 228 WorldCat member libraries worldwide
An intuitive and accessible approach to discrete mathematics using Latin squares. In the past two decades, researchers have discovered a range of uses for Latin squares that go beyond standard mathematics. People working in the fields of science, engineering, statistics, and even computer science all stand to benefit from a working knowledge of Latin squares. Discrete Mathematics Using Latin Squares is the only upperlevel college textbook/professional reference that fully engages the subject and its many important applications
Finite fields with applications to coding theory, cryptography, and related areas : proceedings of the Sixth International
Conference on Finite Fields and Applications, held at Oaxaca, México, May 2125, 2001 by
Gary L Mullen(
Book
)
12 editions published in 2002 in English and held by 195 WorldCat member libraries worldwide
This volume documents the steadily increasing interest in the topic. Finite fields are an important tool in discrete mathematics and its applications cover algebraic geometry, coding theory, cryptology, design theory, finite geometries, and scientific computation, among others. An important feature is the interplay between theory and applications which has led to many new perspectives in research on finite fields and other areas. This interplay has been emphasized in this series of conferences and certainly was reflected in Fq6. This volume offers uptodate original research papers by leading experts in the area. (Midwest)
12 editions published in 2002 in English and held by 195 WorldCat member libraries worldwide
This volume documents the steadily increasing interest in the topic. Finite fields are an important tool in discrete mathematics and its applications cover algebraic geometry, coding theory, cryptology, design theory, finite geometries, and scientific computation, among others. An important feature is the interplay between theory and applications which has led to many new perspectives in research on finite fields and other areas. This interplay has been emphasized in this series of conferences and certainly was reflected in Fq6. This volume offers uptodate original research papers by leading experts in the area. (Midwest)
Dickson polynomials by
Rudolf Lidl(
Book
)
7 editions published in 1993 in English and Undetermined and held by 174 WorldCat member libraries worldwide
"The book may serve as a reference text for graduate students or researchers interested in algebraic or number theoretic aspects of polynomials and for cryptologists."Jacket
7 editions published in 1993 in English and Undetermined and held by 174 WorldCat member libraries worldwide
"The book may serve as a reference text for graduate students or researchers interested in algebraic or number theoretic aspects of polynomials and for cryptologists."Jacket
Topics in finite fields : 11th International Conference on Finite Fields and Their Applications, July 2226, 2013, Magdeburg,
Germany by
Gohar Kyureghyan(
Book
)
10 editions published between 1900 and 2015 in English and held by 163 WorldCat member libraries worldwide
10 editions published between 1900 and 2015 in English and held by 163 WorldCat member libraries worldwide
Abstract algebra : a gentle introduction by
Gary L Mullen(
Book
)
12 editions published between 2015 and 2018 in English and held by 152 WorldCat member libraries worldwide
"Meant for a onesemester course, this textbook introduces topics and key areas of abstract algebra, with exercises. It covers elementary number theory, groups, rings, fields, finite fields, vector spaces, polynomials, and linear codes, with an appendix on mathematical induction, the wellordering principle, sets, functions, permutations, matrices, and complex numbers."Provided by publisher
12 editions published between 2015 and 2018 in English and held by 152 WorldCat member libraries worldwide
"Meant for a onesemester course, this textbook introduces topics and key areas of abstract algebra, with exercises. It covers elementary number theory, groups, rings, fields, finite fields, vector spaces, polynomials, and linear codes, with an appendix on mathematical induction, the wellordering principle, sets, functions, permutations, matrices, and complex numbers."Provided by publisher
Number theory and discrete mathematics by
A. K Agarwal(
)
4 editions published in 2002 in English and held by 84 WorldCat member libraries worldwide
To mark the World Mathematical Year 2000 an International Conference on Number Theory and Discrete Mathematics in honour of the legendary Indian Mathematician Srinivasa Ramanuj~ was held at the centre for Advanced study in Mathematics, Panjab University, Chandigarh, India during October 26, 2000. This volume contains the proceedings of that conference. In all there were 82 participants including 14 overseas participants from Austria, France, Hungary, Italy, Japan, Korea, Singapore and the USA. The conference was inaugurated by Prof. K.N. Pathak, Hon. ViceChancellor, Panjab University, Chandigarh on October 2, 2000. Prof. Bruce C. Berndt of the University of Illinois, UrbanaƯ Chaimpaign, USA delivered the key note address entitled "The Life, Notebooks and Mathematical Contributions of Srinivasa Ramanujan". He described Ramanujanas one of this century's most influential Mathematicians. Quoting Mark K. ac, Prof. George E. Andrews of the Pennsylvania State University, USA, in his message for the conference, described Ramanujan as a "magical genius". During the 5day deliberations invited speakers gave talks on various topics in number theory and discrete mathematics. We mention here a few of them just as a sampling: " M. Waldschmidt, in his article, provides a very nice introduction to the topic of multiple poly logarithms and their special values." C
4 editions published in 2002 in English and held by 84 WorldCat member libraries worldwide
To mark the World Mathematical Year 2000 an International Conference on Number Theory and Discrete Mathematics in honour of the legendary Indian Mathematician Srinivasa Ramanuj~ was held at the centre for Advanced study in Mathematics, Panjab University, Chandigarh, India during October 26, 2000. This volume contains the proceedings of that conference. In all there were 82 participants including 14 overseas participants from Austria, France, Hungary, Italy, Japan, Korea, Singapore and the USA. The conference was inaugurated by Prof. K.N. Pathak, Hon. ViceChancellor, Panjab University, Chandigarh on October 2, 2000. Prof. Bruce C. Berndt of the University of Illinois, UrbanaƯ Chaimpaign, USA delivered the key note address entitled "The Life, Notebooks and Mathematical Contributions of Srinivasa Ramanujan". He described Ramanujanas one of this century's most influential Mathematicians. Quoting Mark K. ac, Prof. George E. Andrews of the Pennsylvania State University, USA, in his message for the conference, described Ramanujan as a "magical genius". During the 5day deliberations invited speakers gave talks on various topics in number theory and discrete mathematics. We mention here a few of them just as a sampling: " M. Waldschmidt, in his article, provides a very nice introduction to the topic of multiple poly logarithms and their special values." C
Finite Fields and Applications : 7th International Conference, Fq7, Toulouse, France, May 59, 2003. Revised Papers by
Gary L Mullen(
)
1 edition published in 2004 in English and held by 30 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 30 WorldCat member libraries worldwide
Local permutation polynomials over a finite field by
Gary L Mullen(
Book
)
2 editions published in 1981 in English and held by 18 WorldCat member libraries worldwide
2 editions published in 1981 in English and held by 18 WorldCat member libraries worldwide
Left automorphisms of functions in permutation groups by
Gary L Mullen(
Book
)
2 editions published in 1977 in English and held by 18 WorldCat member libraries worldwide
2 editions published in 1977 in English and held by 18 WorldCat member libraries worldwide
Finite fields : theory and applications : Ninth International Conference on Finite Fields and Applications, July 1317, 2009,
Dublin, Ireland by
International Conference on Finite Fields and Applications(
)
2 editions published in 2010 in English and held by 13 WorldCat member libraries worldwide
This volume contains the proceedings of the Ninth International Conference on Finite Fields and Applications, held in Ireland, July 1317, 2009. It includes survey papers by all invited speakers as well as selected contributed papers
2 editions published in 2010 in English and held by 13 WorldCat member libraries worldwide
This volume contains the proceedings of the Ninth International Conference on Finite Fields and Applications, held in Ireland, July 1317, 2009. It includes survey papers by all invited speakers as well as selected contributed papers
Finite fields, coding theory, and advances in communications and computing : [proceedings of the International Conference
on Finite Fields, Coding Theory, and Advances in Communications and Computing, held at the University of Nevada, LasVegas,
August 710, 1991](
Book
)
1 edition published in 1993 in English and held by 7 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 7 WorldCat member libraries worldwide
Finite Fields by
Gary L Mullen(
)
1 edition published in 1994 in English and held by 6 WorldCat member libraries worldwide
Because of their applications in so many diverse areas, finite fields continue to play increasingly important roles in various branches of modern mathematics, including number theory, algebra, and algebraic geometry, as well as in computer science, information theory, statistics, and engineering. Computational and algorithmic aspects of finite field problems also continue to grow in importance. This volume contains the refereed proceedings of a conference entitled Finite Fields: Theory, Applications and Algorithms, held in August 1993 at the University of Nevada at Las Vegas. Among the topics
1 edition published in 1994 in English and held by 6 WorldCat member libraries worldwide
Because of their applications in so many diverse areas, finite fields continue to play increasingly important roles in various branches of modern mathematics, including number theory, algebra, and algebraic geometry, as well as in computer science, information theory, statistics, and engineering. Computational and algorithmic aspects of finite field problems also continue to grow in importance. This volume contains the refereed proceedings of a conference entitled Finite Fields: Theory, Applications and Algorithms, held in August 1993 at the University of Nevada at Las Vegas. Among the topics
Finite fields, coding theory, and advances in communications and computing(
Book
)
1 edition published in 1993 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1993 in English and held by 5 WorldCat member libraries worldwide
Finite fields and applications by
Gary L Mullen(
)
1 edition published in 2007 in English and held by 4 WorldCat member libraries worldwide
Introduction to the theory of finite fields and to some of their many applications. The first chapter is devoted to the theory of finite fields. After covering their construction and elementary properties, the authors discuss the trace and norm functions, bases for finite fields, and properties of polynomials over finite fields. Chapter 2 deals with combinatorial topics such as the construction of sets of orthogonal Latin squares, affine and projective planes, block designs, and Hadamard matrices. Chapters 3 and 4 provide a number of constructions and basic properties of errorcorrecting codes and cryptographic systems using finite fields. Appendix A provides a brief review of the basic number theory and abstract algebra used in the text. Appendix B provides hints and partial solutions for many of the exercises in each chapter.From publisher description
1 edition published in 2007 in English and held by 4 WorldCat member libraries worldwide
Introduction to the theory of finite fields and to some of their many applications. The first chapter is devoted to the theory of finite fields. After covering their construction and elementary properties, the authors discuss the trace and norm functions, bases for finite fields, and properties of polynomials over finite fields. Chapter 2 deals with combinatorial topics such as the construction of sets of orthogonal Latin squares, affine and projective planes, block designs, and Hadamard matrices. Chapters 3 and 4 provide a number of constructions and basic properties of errorcorrecting codes and cryptographic systems using finite fields. Appendix A provides a brief review of the basic number theory and abstract algebra used in the text. Appendix B provides hints and partial solutions for many of the exercises in each chapter.From publisher description
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Related Identities
 Stichtenoth, H. (Henning) 1944 Editor
 Shiue, Peter JauShyong 1941 Other Editor
 Poli, Alain 1939 Editor
 Panario, Daniel 1959 Editor
 Mummert, Carl 1978
 Mullin, Ronald C. (Ronald Cleveland) 1936 Other Author Editor
 Laywine, Charles F. 1937 Author
 Shparlinski, Igor E. Editor
 TapiaRecillas, Horacio 1945 Editor
 Lidl, Rudolf Author
Associated Subjects
Algebra Algebra, Abstract AlgebraData processing Arithmetical algebraic geometry Coding theory Combinatorial analysis Commutative rings Computer science Computer scienceMathematics Computer software Cryptography Data encryption (Computer science) Data structures (Computer science) Dickson polynomials Electronic data processing Field theory (Physics) Finite fields (Algebra) Geometry, Algebraic Group theory Magic squares Mathematics Number theory Permutations Polynomials
Covers
Alternative Names
Mullen, G. L.
Mullen, G. L. 1947
Mullen, G. L. (Gary L.)
Mullen, G. L. (Gary L.), 1947
Mullen, Gary 1947
Mullen, Gary L.
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