Im heutigen Informationszeitalter werden täglich riesige Mengen von digitalen Daten über Kanäle wie die Atmosphäre, die Telefonleitung oder Speichermedien übertragen. Dabei treten bei der Übertragung zwei zentrale Probleme auf: einerseits die Sicherung der Daten gegenüber zufäll…
There are many surprising connections between the theory of numbers, which is one of the oldest branches of mathematics, and computing and information theory. Number theory has important applications in computer organization and security, coding and cryptography, random number g…
"Since the publication of the first edition of this monograph, a generalisation of the Assmus-Mattson theorem for linear codes over finite fields has been developed, two 70-year breakthroughs and a considerable amount of other progress on t-designs from linear codes have been ma…
"Since the publication of the first edition of this monograph, a generalisation of the Assmus-Mattson theorem for linear codes over finite fields has been developed, two 70-year breakthroughs and a considerable amount of other progress on t-designs from linear codes have been ma…
"Since the publication of the first edition of this monograph, a generalisation of the Assmus-Mattson theorem for linear codes over finite fields has been developed, two 70-year breakthroughs and a considerable amount of other progress on t-designs from linear codes have been ma…
Z2Z4-linear codes
by Borges, Joaquim, Fernández-Córdoba, Cristina, Pujol, Jaume, Rifà, Josep, Villanueva, Mercè
Z2Z4-linear codes
by Borges, Joaquim, Fernández-Córdoba, Cristina, Pujol, Jaume, Rifà, Josep, Villanueva, Mercè
The theory developed for 24-additive codes is the starting point for much generalization about codes over mixed alphabets. They have opened a new, emergent area of research. The techniques used for 24-linear codes are being generalized and applied to more general codes. By examp…
"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…
1. Introduction to Cryptography -- 2. Introduction to Probability -- 3. Information Theory and Entropy -- 4. Introduction to Complexity Theory -- 5. Algebraic Foundations: Groups- 6. Algebraic Foundations: Rings and Fields -- 7. Advanced Topics in Algebra -- 8.Symmetric Key Cryp…
This book studies the link between differential beamforming and differential equations which in turn enables the study of fundamental theory and methods of beamforming from a different perspective, leading to new insights into the problem and new methods to solve the problem. Th…
This book constitutes the refereed proceedings of the Second International Workshop on Distributed Computing for Emerging Smart Networks, DiCES-N 2020, held in Bizerte, Tunisia, in December 2020. Due to the COVID-19 pandemic the conference was held online. The 8 full papers incl…
"Learn approaches of computational thinking and the art of designing algorithms. Most of the algorithms you will see in this book are used in almost all software that runs on your computer. Learning how to program can be very rewarding. It is a special feeling to seeing a comput…
Foreword -- Preface -- Introduction -- An Information Theory Approach -- Some Possible Codings in Music -- Ambiguity in Decoding -- Multiple Words and Partitioning -- Score Analysis -- Statistical Methods -- Exploring Proportions -- Applying the Methods to the Well Tempered Clav…