Code Based Secret Sharing Schemes Applied Combinatorial Coding Theory

Secret sharing schemes form one of the most important topic in Cryptography. These protocols are used in many areas, applied mathematics, computer science, electrical engineering. A secret is divided into several pieces called shares. Each share is given to a user of the system. Each user has no information about the secret, but the secret can be retrieved by certain authorized coalition of users.This book is devoted to such schemes inspired by Coding Theory. The classical schemes of Shamir, Blakley, Massey are recalled. Survey is made of research in Combinatorial Coding Theory they triggered, mostly self-dual codes, and minimal codes. Applications to engineering like image processing, and key management of MANETs are highlighted.

The NATO Advanced Research Workshop on Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes has been organized in Veliko Tarnovo, Bulgaria, on October 6-9, 2008 by the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences in cooperation with COSIC, KU Leuven and in the framework of the NATO Science for Peace and Security program. Goal of the organizers was to gather international experts from both fields - coding theory and cryptography - in order to exchange ideas, define new challenges and open problems for future research. These proceedings present the state-of-the-art in the current research on cryptography applying techniques and results from coding theory. Enhancing Cryptographic Primitives with Techniques from Error Correcting Codes is divided into two parts. In the first part the papers based on the lectures of the invited speakers, and in the second part the papers based on the talks of the participants in the workshop are included.

This book constitutes the refereed proceedings of the Third International Workshop on Coding and Cryptology, IWCC 2011, held in Qingdao, China, May 30-June 3, 2011. The 19 revised full technical papers are contributed by the invited speakers of the workshop. The papers were carefully reviewed and cover a broad range of foundational and methodological as well as applicative issues in coding and cryptology, as well as related areas such as combinatorics.

This book constitutes the refereed proceedings of the 18th IMA International Conference on Cryptography and Coding, IMACC 2021, held in December 2021. Due to COVID 19 pandemic the conference was held virtually. The 14 papers presented were carefully reviewed and selected from 30 submissions. The conference focuses on a diverse set of topics both in cryptography and coding theory.

"Published in cooperation with NATO Emerging Security Challenges Division"--T.p.

Containing data on number theory, encryption schemes, and cyclic codes, this highly successful textbook, proven by the authors in a popular two-quarter course, presents coding theory, construction, encoding, and decoding of specific code families in an "easy-to-use" manner appropriate for students with only a basic background in mathematics offerin

This book contains a selection of papers submitted to the Workshop on Coding, Cryptography and Combinatorics (CCC 2003). An important feature of the book are invited surveys on key topics such as Boolean functions in cryptology, correlation attacks on LFSR sequences, decoding algorithms for linear codes, LDPC codes, and towers of function fields. There are also carefully selected contributed papers on many aspects of coding theory, cryptology and combinatorics, for instance, new constructions of codes, decoding algorithms, coding bounds, digital nets, cryptanalysis of cryptosystems and other cryptographic schemes, linear complexity o sequences, cross-correlation of sequences, authentication codes, fast arithmetic for cryptosystems, capacity regions, and combinatorial tableaux. The reader will be informed about current reesearch in these very active areas. The book is of interest for postgraduate students and researchers in mathematics, computer science, information theory and electrical engineering.

This text is for a course in cryptography for advanced undergraduate and graduate students. Material is accessible to mathematically mature students having little background in number theory and computer programming. Core material is treated in the first eight chapters on areas such as classical cryptosystems, basic number theory, the RSA algorithm, and digital signatures. The remaining nine chapters cover optional topics including secret sharing schemes, games, and information theory. Appendices contain computer examples in Mathematica, Maple, and MATLAB. The text can be taught without computers.