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This open access book presents selected papers from International Symposium on Mathematics, Quantum Theory, and Cryptography (MQC), which was held on September 25-27, 2019 in Fukuoka, Japan. The international symposium MQC addresses the mathematics and quantum theory underlying secure modeling of the post quantum cryptography including e.g. mathematical study of the light-matter interaction models as well as quantum computing. The security of the most widely used RSA cryptosystem is based on the difficulty of factoring large integers. However, in 1994 Shor proposed a quantum polynomial time algorithm for factoring integers, and the RSA cryptosystem is no longer secure in the quantum computing model. This vulnerability has prompted research into post-quantum cryptography using alternative mathematical problems that are secure in the era of quantum computers. In this regard, the National Institute of Standards and Technology (NIST) began to standardize post-quantum cryptography in 2016. This book is suitable for postgraduate students in mathematics and computer science, as well as for experts in industry working on post-quantum cryptography.

Mathematical and Computational Engineering --- Data Structures and Information Theory --- Quantum Computing --- Systems and Data Security --- Mathematical and Computational Engineering Applications --- Data and Information Security --- Cryptography for Quantum Computers --- Post-quantum Cryptography --- Number Theory --- Representation Theory --- Quantum Physics --- Security Modelling --- Open Access --- Maths for engineers --- Algorithms & data structures --- Information theory --- Mathematical theory of computation --- Computer security --- Network security

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This Special Issue provides an opportunity for researchers in the area of side-channel attacks (SCAs) to highlight the most recent exciting technologies. The research papers published in this Special Issue represent recent progress in the field, including research on power analysis attacks, cache-based timing attacks, system-level countermeasures, and so on.

cache attack --- cache side-channel attack --- constant-time cryptographic algorithm --- rsa cryptosystem --- scatter-gather implementation --- modular exponentiation --- post-quantum cryptography --- lattice-based cryptography --- Gaussian sampling --- CDT sampling --- side-channel attack --- single trace analysis --- mobile ads --- software development kit (SDK), android package (APK), ad lib --- ad libraries --- ad networks --- graph --- graph similarity --- side-channel authentication --- leakage model --- AES --- FPGA --- unified point addition --- binary Huff curve --- recovery of secret exponent by triangular trace analysis --- horizontal collision correlation analysis --- side channel analysis --- single trace analysis --- post quantum cryptography --- NTRU --- side-channel analysis --- elliptic curve cryptography --- single-trace attack --- key bit-dependent attack --- countermeasure --- side channel analysis --- financial IC card --- first-order analysis --- second-order analysis --- data outsourcing --- integrity --- online authentication --- Merkle (hash) tree --- data loss --- information leakage --- reliability --- side-channel analysis --- power-analysis attack --- embedded system security --- machine-learning classification --- side-channel cache attacks --- cache misses --- AES --- cloud computing --- physically unclonable function --- chaos theory --- chaotic circuit --- FPGA --- CPLD --- challenge-response authentication --- hardware security --- side-channel attacks --- cryptographic keys --- side channel attack --- re-keying --- tweakable block cipher --- provable security --- n/a