有限領域及其應用是一種同行評審的技術期刊，在有限領域理論和應用領域發表論文。由于在廣泛領域的應用，有限領域在數學的幾個領域越來越重要，包括線性和抽象代數、數論和代數幾何，以及計算機科學、統計學、信息論和工程學。對于內聚性來說，由于如此多的應用依賴于有限域的各種理論性質，因此有一個關于理論方面的高質量論文的核心是至關重要的。此外，由于該領域的大部分活力來自計算問題，該雜志發表了關于有限域計算方面的論文，以及關于有限域相關方法的算法和復雜性的論文。該雜志還發表各種應用論文，包括但不限于代數編碼理論、密碼學、組合設計理論、偽隨機數生成和線性循環序列。還需要包括其他應用領域，但重要的是有限域在理論、應用或算法中扮演著重要的角色。有限的領域和他們的申請每年出版四次，并保持非常嚴格的評審標準，只接受那些收到優秀的裁判報告的論文。這本雜志有一個開放的檔案。所有已發表的項目，包括研究論文，都可以無限制地訪問，并在發表48個月后永久免費閱讀和下載。存檔中的所有論文均受愛思唯爾用戶許可的約束。

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 is published four times per year and maintains very strict refereeing standards, accepting only those papers which receive excellent referee reports.This journal has an Open Archive. All published items, including research articles, have unrestricted access and will remain permanently free to read and download 48 months after publication. All papers in the Archive are subject to Elsevier's user license.