Finite Fields and Their Applications is a peer-reviewed technical journal publishing papers in finite field theory as well as in applications of finite fields. As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic geometry, as well as in computer science, statistics, information theory, and engineering.

For cohesion, and because so many applications rely on various theoretical properties of finite fields, it is essential that there be a core of high-quality papers on theoretical aspects. In addition, since much of the vitality of the area comes from computational problems, the journal publishes papers on computational aspects of finite fields as well as on algorithms and complexity of finite field-related methods.

The journal also publishes papers in various applications including, but not limited to, algebraic coding theory, cryptology, combinatorial design theory, pseudorandom number generation, and linear recurring sequences. There are other areas of application to be included, but the important point is that finite fields play a nontrivial role in the theory, application, or algorithm.

《Finite Fields And Their Applications》是一本由ACADEMIC PRESS INC ELSEVIER SCIENCE出版商出版的专业数学期刊，该刊创刊于1995年，刊期Quarterly，该刊已被国际权威数据库SCI、SCIE收录。在中科院最新升级版分区表中，该刊分区信息为大类学科：数学 2区，小类学科：数学 2区；应用数学 2区；在JCR（Journal Citation Reports）分区等级为Q1。该刊发文范围涵盖数学等领域，旨在及时、准确、全面地报道国内外数学工作者在该领域取得的最新研究成果、工作进展及学术动态、技术革新等，促进学术交流，鼓励学术创新。2021年影响因子为1.655，平均审稿速度较慢,6-12周。