Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results. However, for a long time they were not considered of any substantial importance for real-life applications. This has dramatically changed with the appearance of new topics such as modern cryptography, coding theory, and wireless communication. Nowadays we find applications of algebra and number theory frequently in our daily life. We mention security and error detection for internet banking, check digit systems and the bar code, GPS and radar systems, pricing options at a stock market, and noise suppression on mobile phones as most common examples. This book collects the results of the workshops "Applications of algebraic curves" and "Applications of finite fields" of the RICAM Special Semester 2013. These workshops brought together the most prominent researchers in the area of finite fields and their applications around the world. They address old and new problems on curves and other aspects of finite fields, with emphasis on their diverse applications to many areas of pure and applied mathematics.

The two-volume set LNCS 10031 and LNCS 10032 constitutes the refereed proceedings of the 22nd International Conference on the Theory and Applications of Cryptology and Information Security, ASIACRYPT 2016, held in Hanoi, Vietnam, in December 2016. The 67 revised full papers and 2 invited talks presented were carefully selected from 240 submissions. They are organized in topical sections on Mathematical Analysis; AES and White-Box; Hash Function; Randomness; Authenticated Encryption; Block Cipher; SCA and Leakage Resilience; Zero Knowledge; Post Quantum Cryptography; Provable Security; Digital Signature; Functional and Homomorphic Cryptography; ABE and IBE; Foundation; Cryptographic Protocol; Multi-Party Computation.

This book constitutes the refereed proceedings of the 11th International Conference on Information Security and Cryptology, ICISC 2008, held in Seoul, Korea, during December 3-5, 2008.

The 26 revised full papers presented have gone through two rounds of reviewing and improvement and were carefully selected from 131 submissions. The papers are organized in topical sections on public key encryption, key management and secret sharing, privacy and digital rights, digital signature and voting, side channel attack, hash and mac, primitives and foundations, as well as block and stream ciphers.

This volume constitutes the proceedings of the 13th International Conference on post-quantum cryptography, PQCrypto 2022, held in as a Virtual Event in September 2022. The 23 full papers presented in this volume were carefully reviewed and selected from 66 submissions. They cover a broad spectrum of research within the conference's scope, including code-, hash-, isogeny-, and lattice-based cryptography, multivariate cryptography, and quantum cryptanalysis. The papers are categorized in the following topical sub-headings: Code-Based Cryptography; Multivariate Cryptography and the MinRank Problem; Quantum Algorithims, Attacks and Models; Implementation and Side Channel Attacks; Isogeny; Lattice-based Cryptography; Cryptanalysis.

This volume constitutes the proceedings of the 12th International Conference on post-quantum cryptography, PQCrypto 2021, held in Daejeon, South Korea in July 2021. The 25 full papers presented in this volume were carefully reviewed and selected from 65 submissions. They cover a broad spectrum of research within the conference's scope, including code-, hash-, isogeny-, and lattice-based cryptography, multivariate cryptography, and quantum cryptanalysis.

The two-volume set LNCS 9452 and 9453 constitutes the refereed proceedings of the 21st International Conference on the Theory and Applications of Cryptology and Information Security, ASIACRYPT 2015, held in Auckland, New Zealand, in November/December 2015. The 64 revised full papers and 3 invited talks presented were carefully selected from 251 submissions. They are organized in topical sections on indistinguishability obfuscation; PRFs and hashes; discrete logarithms and number theory; signatures; multiparty computation; public key encryption; ABE and IBE; zero-knowledge; attacks on ASASA; number field sieve; hashes and MACs; symmetric encryption; foundations; side-channel attacks; design of block ciphers; authenticated encryption; symmetric analysis; cryptanalysis; privacy and lattices.

The two-volume set LNCS 10031 and LNCS 10032 constitutes the refereed proceedings of the 22nd International Conference on the Theory and Applications of Cryptology and Information Security, ASIACRYPT 2016, held in Hanoi, Vietnam, in December 2016. The 67 revised full papers and 2 invited talks presented were carefully selected from 240 submissions. They are organized in topical sections on Mathematical Analysis; AES and White-Box; Hash Function; Randomness; Authenticated Encryption; Block Cipher; SCA and Leakage Resilience; Zero Knowledge; Post Quantum Cryptography; Provable Security; Digital Signature; Functional and Homomorphic Cryptography; ABE and IBE; Foundation; Cryptographic Protocol; Multi-Party Computation.