Finite Fields and Their Applications

期刊简介：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.

【译文】有限域及其应用是一本同行评审的技术期刊，发表关于有限域理论及其应用方面的论文。由于在众多领域的应用，有限域在数学的多个领域，包括线性代数、抽象代数、数论和代数几何，以及计算机科学、统计学、信息理论和工程等领域的重要性日益增加。为了保持连贯性，并且因为许多应用都依赖于有限域的各种理论特性，因此有必要有一个关于理论方面的高质量论文的核心。此外，由于该领域的活力很大程度上来自于计算问题，该期刊还发表关于有限域的计算方面、算法以及与有限域相关方法的复杂性的论文。该期刊还发表关于各种应用的论文，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将被包括在内，但重要的是有限域在理论、应用或算法中发挥着非平凡的作用。