Finite Fields and their Applications

Top Research Topics at Finite Fields and Their Applications?

The concepts of Discrete mathematics, Combinatorics, Finite field, Pure mathematics and Prime (order theory) are tackled in Finite Fields and Their Applications. The journal addresses concerns in Discrete mathematics which are intertwined with other disciplines, such as Class (set theory) and Cyclic code, Reed–Muller code, Hamming code, Linear code. Research in the field of Block code was used to conduct the presented Linear code study.

It links adjacent topics like Combinatorics with Order (group theory). Finite Fields and Their Applications focuses on Finite field but the discussions also offer insight into other areas such as Function (mathematics), Polynomial, Prime power and Field (mathematics). Research on Permutation polynomial addressed in it frequently intersections with the field of Cyclic permutation.

• Discrete mathematics (52.57%)
• Combinatorics (51.93%)
• Finite field (41.13%)

What are the most cited papers published in the journal?

• New cyclic difference sets with Singer parameters (234 citations)
• Low-Discrepancy Sequences and Global Function Fields with Many Rational Places (156 citations)
• New Generalized Cyclotomy and Its Applications (134 citations)

Research areas of the most cited articles at Finite Fields and Their Applications:

The most cited publications generally zeroe in on subjects such as Discrete mathematics, Combinatorics, Finite field, Linear code and Block code. Cyclic code, Prime (order theory) and Group code are some topics wherein Discrete mathematics research discussed in the most cited articles has an impact. The most cited papers tackle research work in Combinatorics as well as Weight distribution.

What topics the last edition of the journal is best known for?

• Algebra
• Combinatorics
• Complex number

The previous edition focused in particular on these issues:

The topics of Pure mathematics, Finite field, Discrete mathematics, Combinatorics and Character (mathematics) are the focal point of discussions in Finite Fields and Their Applications. The studies in Pure mathematics featured incorporate elements of Pencil (mathematics), Hyperplane and Type (model theory). The research on Finite field tackled can also make contributions to studies in the areas of Prime power order, Prime (order theory) and Open problem.

While work presented in the journal provided substantial information on Discrete mathematics, it also covered topics in Link (knot theory) and Hermitian matrix. It features Combinatorics research that overlaps with concepts in Metric (mathematics). The concepts on Character (mathematics) presented in the journal can also apply to other research fields, including Linear subspace, Affine transformation, Multiplicative function, Generalization and Polynomial.

The most cited articles from the last journal are:

• Primitive idempotents in central simple algebras over Fq(t) with an application to coding theory (2 citations)
• Some new constructions of MDS self-dual codes over finite fields (0 citations)
• Explicit equations for maximal curves as subcovers of the BM curve (0 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Finite Fields and Their Applications (based on the number of publications) are:

• Xiang-dong Hou (27 papers) absent at the last edition,
• Xiangyong Zeng (23 papers) absent at the last edition,
• Ferruh Özbudak (23 papers) absent at the last edition,
• Igor E. Shparlinski (21 papers) absent at the last edition,
• Cunsheng Ding (21 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Finite Fields and Their Applications (based on the number of publications) are:

• Chinese Academy of Sciences (52 papers) absent at the last edition,
• National University of Singapore (30 papers) absent at the last edition,
• Hubei University (28 papers) absent at the last edition,
• Nanjing University of Aeronautics and Astronautics (27 papers) absent at the last edition,
• University of Bergen (26 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2022 edition, 50.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 0.00% were posted by at least one author from the top 10 institutions publishing in the journal. Another 20.00% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 20.00% of all publications and 60.00% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.