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.
《有限域及其应用》(英语:Finite Fields and Their Applications)是一份同行评审的技术期刊,发表有限域理论和有限域应用方面的论文。作为在各种各样的领域中应用的结果,有限域在数学的若干领域中日益重要,包括线性和抽象代数、数论和代数几何,以及在计算机科学、统计学、信息论和工程学中。为了内聚,并且因为如此多的应用依赖于有限域的各种理论性质,必须有一批关于理论方面的高质量论文作为核心。此外,由于该领域的大部分活力来自计算问题,该杂志还发表关于有限域的计算方面以及有限域相关方法的算法和复杂性的论文。该杂志还发表各种应用的论文,包括但不限于代数编码理论、密码学、组合设计理论、伪随机数生成和线性递归序列。还有其他的应用领域要包括在内,但重要的一点是,有限域在理论、应用或算法中扮演着重要的角色。