Finite Fields and their Applications

Aims & Scope

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.

View Aims & Scope

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Metrics & Ranking

Impact Factor

Year	Value
2025	1.2
2024	1.20

SJR (SCImago Journal Rank)

Year	Value
2024	1.048

Quartile

Year	Value
2024	Q1

h-index

Year	Value
2024	57

Journal Rank

Year	Value
2024	4471

Journal Citation Indicator

Year	Value
2024	533

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Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar
• Web of Science

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Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Engineering and Mathematics, designed to support cutting-edge academic discovery.

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Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• New cyclic difference sets with Singer parameters

  Citation: 204

  Authors: J.F, Hans

• Permutation polynomials over finite fields — A survey of recent advances

  Citation: 176

  Authors: Xiang-dong

• On constructing permutations of finite fields

  Citation: 159

  Authors: Amir, Dragos, Qiang

• Permutation polynomials and applications to coding theory

  Citation: 142

  Authors: Yann

• A class of three-weight cyclic codes

  Citation: 130

  Authors: Zhengchun, Cunsheng

• New Generalized Cyclotomy and Its Applications

  Citation: 127

  Authors: Cunsheng, Tor

• On the classification and enumeration of self-dual codes

  Citation: 122

  Authors: W.

• Low-Discrepancy Sequences and Global Function Fields with Many Rational Places

  Citation: 122

  Authors: Harold, Chaoping

• Cyclic Codes over the Integers Modulopm

  Citation: 112

  Authors: Pramod, Sergio R.

• Linear Complexity of Generalized Cyclotomic Binary Sequences of Order 2

  Citation: 110

  Authors: Cunsheng

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