Tor Helleseth - Böcker

The explanation of the formal duality of Kerdock and Preparata codes - one of the outstanding recent results in applied algebra - is related to the discovery of large sets of quadriphase sequences over 4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. Most of the articles collected here contain descriptions of the connection between difference sets, sequences and correlation properties of sequences. There are two more elementary introductory articles: an introduction to difference sets (by two of the editors), and an introduction to the correlation of sequences (by Solomon Golomb).

The explanation of the formal duality of Kerdock and Preparata codes - one of the outstanding recent results in applied algebra - is related to the discovery of large sets of quadriphase sequences over 4 whose correlation properties are better than those of the best binary sequences. Moreover, the correlation properties of sequences are closely related to difference properties of certain sets in (cyclic) groups. Most of the articles collected here contain descriptions of the connection between difference sets, sequences and correlation properties of sequences. There are two more elementary introductory articles: an introduction to difference sets (by two of the editors), and an introduction to the correlation of sequences (by Solomon Golomb).

This book is a useful reference for both professional and academic researchers working in telecommunications, cryptography, signal processing, discrete mathematics, and information theory. The work represents a collection of contributions from leading experts in the field. This book covers the latest advances in the widely-used and rapidly-developing field of information and communication technology.

Mathematical Properties of Sequences and Other Combinatorial Structures is an excellent reference for both professional and academic researchers working in telecommunications, cryptography, signal processing, discrete mathematics, and information theory. The work represents a collection of contributions from leading experts in the field. Contributors have individually and collectively dedicated their work as a tribute to the outstanding work of Solomon W. Golomb. Mathematical Properties of Sequences and Other Combinatorial Structures covers the latest advances in the widely used and rapidly developing field of information and communication technology.

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.

This book constitutes the refereed proceedings of the 4th International Conference on Sequences and Their Applications, SETA 2006. The book presents 32 revised full papers together with 4 invited lectures. The papers are organized in topical sections on linear complexity of sequences, correlation of sequences, stream ciphers and transforms, topics in complexities of sequences, multi-sequence synthesis, sequences and combinatorics, FCSR sequences, aperiodic correlation and applications, and boolean functions, and more.

Eurocrypt is a series of open workshops on the theory andapplication of cryptographic techniques. These meetings havetaken place in Europe every year since 1982 and aresponsored by the International Association for CryptologicResearch.Eurocrypt '93 was held in the village of Lofthus in Norwayin May 1993. The call for papers resulted in 117 submissionswith authors representing 27 different countries. The 36accepted papers were selected by the program committee aftera blind refereeing process. The papers are grouped intoparts on authentication, public key, block ciphers, secretsharing, stream ciphers, digital signatures, protocols, hashfunctions, payment systems, and cryptanalysis. The volumeincludes 6 further rump session papers.

These are the proceedings of the Workshop on Sequences, Subsequences, and Consequences that was held at the University of Southern California (USC), May 31 - June 2, 2007. There were three one-hour Keynote lectures, 16 invited talks of up to 45 minutes each, and 1 “contributed” paper. The theory of sequences from discrete symbol alphabets has found practical applications in many areas of coded communications and in cryptography, - cluding: signal patterns for use in radar and sonar; spectral spreading sequences for CDMA wireless telephony; key streams for direct sequence stream-cipher cryptography; and a variety of forward-error-correctingcodes. The workshopwasdesigned to bring leading researcherson “sequences”from aroundtheworldtopresenttheirlatestresults,interchangeinformationwithone another, and especially to inform the larger audience of interested participants, includingfaculty,researchers,scholars,andstudentsfromnumerousinstitutions, as well as the readers of these proceedings, about recent developments in this important ?eld. There were invited speakers from Canada, China, Germany, India, Israel, Norway, Puerto Rico, and South Korea, in addition to those from the USA. Support for the workshop was generously provided by the O?ce of the Dean of the Viterbi School of Engineering, by the Center for Communications Research (CCR-La Jolla), and by the United States National Science Foundation (NSF). This support is hereby gratefully acknowledged.

These are the proceedings of WAIFI 2010,the Third International Workshop on theArithmeticofFiniteFields,heldinIstanbul,Turkey,duringJune27-30,2010. The ?rst workshop, WAIFI 2007, was held in Madrid, Spain, and then WAIFI 2008 was held in Siena, Italy. In 2008, the workshop series was made biannual and it is now being held every even year, bringing together mathematicians, computer scientists, engineers and physicists who are doing research on various aspects of ?nite ?eld arithmetic. This year the workshop received 33 submissions, each of which was reviewed by at least three reviewerswho were either members of the ProgramCommittee of the workshop or external reviewers chosen by the members. Once the review phase was over, the Program Committee had online discussions over a period of several days. In the end, a total of 15 papers representing both theoretical and practical aspects of ?nite ?eld arithmetic were accepted for presentation. These accepted papers are part of these proceedings. In addition to the presentations of these papers, we were fortunate to have three invited talks given by P. Vijay Kumar,Alfred Menezes andHenning Stichtenoth.Thepapers,whichthe invited talks were based on, are also part of the proceedings. We are very grateful to the members of the Program Committee for their dedication, professionalism and careful work with the review and selection p- cess. We also sincerely thank the external reviewers who contributed with their special expertise to review papers for this workshop.