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Discrete Math in Coding Theory, 2nd Edition

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Information Theory, Probability and Statistics".

Deadline for manuscript submissions: 2 March 2026 | Viewed by 429

Special Issue Editor


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Guest Editor
I2M, (CNRS, Aix-Marseille University, Centrale Marseille), 163 Avenue de Luminy, 13009 Marseilles, France
Interests: discrete mathematics; cryptography coding; information theory; mathematical analysis; communication science; geometry; topology; algorithms; pure mathematics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Discrete mathematics, as opposed to continuous mathematics, broadly comprises algebra, combinatorics, geometry, and number theory. From Shannon’s counting arguments and Assmus–Mattson’s theorem to Goppa’s estimates, it is safe to say that all these fields have contributed to coding theory. Therefore, they can all contribute to this Special Issue. More specifically, we welcome the submission of original papers in the following areas (the list is not exhaustive):

  • Codes and finite geometry: Space–time codes, rank metric codes, AG codes, and Boolean functions;
  • Codes and combinatorics: Designs, maximal codes, few-weight codes, and Hadamard matrices;
  • Algebraic coding theory: Codes over rings and modules, and codes as ideals and modules over rings;
  • Algorithms for effective construction and efficient decoding;
  • Character sums: Gauss sums; exponential sums for explicit enumeration.

Dr. Patrick Solé
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • codes
  • designs
  • rings
  • modules
  • graphs
  • discrete algorithms
  • incidence geometry
  • arithmetic geometry

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Published Papers (1 paper)

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Research

16 pages, 350 KB  
Article
Symplectic QSD, LCD, and ACD Codes over a Non-Commutative Non-Unitary Ring of Order Nine
by Sarra Manseri, Patrick Solé, Adel Alahmadi and Widyan Basaffar
Entropy 2025, 27(9), 973; https://doi.org/10.3390/e27090973 - 18 Sep 2025
Viewed by 177
Abstract
We introduce quasi self-dual (QSD), linear complementary dual (LCD), and additive complementary dual (ACD) codes for the symplectic inner product over a non-commutative non-unitary ring of order 9. We establish connections with symplectic–self-orthogonal and LCD ternary codes. We characterize right-symplectic ACD codes. Full article
(This article belongs to the Special Issue Discrete Math in Coding Theory, 2nd Edition)
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