The volume is a collection of 20 refereed articles written in connection with lectures presented at the 12th International Conference on Finite Fields and Their Applications ('Fq12') at Skidmore College in Saratoga Springs, NY in July 2015. Finite fields are central to modern cryptography and secure digital communication, and hence must evolve rapidly to keep pace with new technologies. Topics in this volume include cryptography, coding theory, structure of finite fields, algorithms, curves over finite fields, and further applications.Contributors will include: Antoine Joux (Fondation Partenariale de l'UPMC, France); Gary Mullen (Penn State University, USA); Gohar Kyureghyan (Otto-von-Guericke Universitat, Germany); Gary McGuire (University College Dublin, Ireland); Michel Lavrauw (Universita degli Studi di Padova, Italy); Kirsten Eisentraeger (Penn State University, USA); Renate Scheidler (University of Calgary, Canada); Michael Zieve (University of Michigan, USA).

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and each chapter is self contained and peer reviewed. The first part of the book traces the history of finite fields through the eighteenth and nineteenth centuries. The second part presents theoretical properties of finite fields, covering polynomials, special functions, sequences, algorithms, curves, and related computational aspects. The final part describes various mathematical and practical applications of finite fields in combinatorics, algebraic coding theory, cryptographic systems, biology, quantum information theory, engineering, and other areas. The book provides a comprehensive index and easy access to over 3,000 references, enabling you to quickly locate up-to-date facts and results regarding finite fields.

This volume contains the proceedings of the LATIN 2000 International Conference (LatinAmerican Theoretical INformatics), to be held in Punta del Este, Uruguay,April 10-14, 2000. This is the fourth event in the series following Sao " Paulo, Brazil (1992),Valparaiso, Chile (1995), and Campinas, Brazil (1998). LATIN has established itself as a fully refereed conference for theoretical computer science research in Latin America. It has also strengthened the ties between local and international scientific communities. We believe that this volume reflects the breadth and depth of this interaction. We received 87 submissions, from 178 different authors in 26 different countries. Eachpaperwasassignedtothreeprogramcommitteemembers.TheProgramCommittee selected 42 papers based on approximately 260 referee reports. In addition to these contributed presentations, the conference included six invited talks. The assistance of many organizations and individuals was essential for the success ofthismeeting.Wewouldliketothankallofoursponsorsandsupportingorganizations. Ricardo Baeza-Yates, Claudio Lucchesi, Arnaldo Moura, and Imre Simon provided - sightful advice and shared with us their experiences as organizers of previous LATIN meetings. Joaquin Goyoaga and Patricia Corbo helped in the earliest stages of the - ganization in various ways, including finding Uruguayan sources of financial support. SeCIU(ServicioCentraldeInformatica ' Universitario,UniversidaddelaRepublica) ' p- vided us with the necessary communication infrastructure. The meeting of the program committee was hosted by the Instituto de Matematica ' e Estat stica, i Universidade de Sao " Paulo, which also provided us with the Intranet site for discussions among PC members.