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The area of computational cryptography is dedicated to the development of effective methods in algorithmic number theory that improve implementation of cryptosystems or further their cryptanalysis. This book is a tribute to Arjen K. Lenstra, one of the key contributors to the field, on the occasion of his 65th birthday, covering his best-known scientific achievements in the field. Students and security engineers will appreciate this no-nonsense introduction to the hard mathematical problems used in cryptography and on which cybersecurity is built, as well as the overview of recent advances on how to solve these problems from both theoretical and practical applied perspectives. Beginning with polynomials, the book moves on to the celebrated Lenstra-Lenstra-Lovász lattice reduction algorithm, and then progresses to integer factorization and the impact of these methods to the selection of strong cryptographic keys for usage in widely used standards.

Cryptography. --- Criptografia --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Signs and symbols --- Symbolism --- Writing --- Ciphers --- Data encryption (Computer science) --- Escriptura secreta --- Escriptura --- Símbols --- Xifratge (Informàtica)

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"Public key cryptography is a major interdisciplinary subject with many real-world applications, such as digital signatures. A strong background in the mathematics underlying public key cryptography is essential for a deep understanding of the subject, and this book provides exactly that for students and researchers in mathematics, computer science and electrical engineering. Carefully written to communicate the major ideas and techniques of public key cryptography to a wide readership, this text is enlivened throughout with historical remarks and insightful perspectives on the development of the subject. Numerous examples, proofs and exercises make it suitable as a textbook for an advanced course, as well as for self-study. For more experienced researchers it serves as a convenient reference for many important topics: the Pollard algorithms, Maurer reduction, isogenies, algebraic tori, hyperelliptic curves and many more"

Coding theory --- Cryptography --- Codage --- Cryptographie --- Mathematics --- Mathématiques --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Signs and symbols --- Symbolism --- Writing --- Ciphers --- Data encryption (Computer science) --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Mathématiques --- Mathematics. --- Coding theory. --- Codificació, Teoria de la. --- Criptografia --- Matemàtica. --- Escriptura secreta --- Escriptura xifrada --- Esteganografia --- Escriptura --- Simbolisme --- Símbols --- Xifratge (Informàtica) --- Xifres i claus --- Teoria de la codificació --- Dades --- Electrònica digital --- Informació, Teoria de la --- Màquines, Teoria de --- Senyal, Teoria del (Telecomunicació) --- Programació (Ordinadors) --- Compressió (Informàtica) --- Compressió (Telecomunicació) --- Teoria de la informació --- Compressió de dades (Telecomunicació) --- Compressió de dades (Informàtica)

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This book constitutes the proceedings of the 19th International Conference on Smart Card Research and Advanced Applications, CARDIS 2020, which took place during November 18-20, 2020. The conference was originally planned to take place in Lübeck, Germany, and changed to an online format due to the COVID-19 pandemic. The 12 full papers presented in this volume were carefully reviewed and selected from 26 submissions. They were organized in topical sections named: post-quantum cryptography; efficient implementations; and physical attacks.

Data encryption (Computer science). --- Computer security. --- Special purpose computers. --- Application software. --- Computer communication systems. --- Cryptology. --- Systems and Data Security. --- Special Purpose and Application-Based Systems. --- Information Systems Applications (incl. Internet). --- Computer Communication Networks. --- Communication systems, Computer --- Computer communication systems --- Data networks, Computer --- ECNs (Electronic communication networks) --- Electronic communication networks --- Networks, Computer --- Teleprocessing networks --- Data transmission systems --- Digital communications --- Electronic systems --- Information networks --- Telecommunication --- Cyberinfrastructure --- Electronic data processing --- Network computers --- Application computer programs --- Application computer software --- Applications software --- Apps (Computer software) --- Computer software --- Special purpose computers --- Computers --- Computer privacy --- Computer system security --- Computer systems --- Cyber security --- Cybersecurity --- Electronic digital computers --- Protection of computer systems --- Security of computer systems --- Data protection --- Security systems --- Hacking --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Cryptography --- Distributed processing --- Protection --- Security measures --- Smart cards --- Cards, Smart --- Chip cards --- IC cards --- Integrated circuit cards --- Memory cards --- Computer storage devices --- Expansion boards (Microcomputers) --- Near-field communication --- Criptografia --- Seguretat informàtica --- Targetes intel·ligents --- Targetes amb circuits integrats --- Targetes chip --- Sistemes de seguretat --- Microprocessadors --- Informàtica (Seguretat) --- Mesures de seguretat (Informàtica) --- Seguretat (Informàtica) --- Seguretat dels sistemes informàtics --- Protecció de dades --- Control d'accés als ordinadors --- Seguretat de les xarxes d'ordinadors --- Xifratge (Informàtica) --- Pirates informàtics --- Escriptura secreta --- Escriptura --- Símbols