Special Issue "Computational Aspects of Quadratic and High-Order Residues with Applications in Cryptography"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematics and Computer Science".

Deadline for manuscript submissions: 31 July 2021.

Special Issue Editor

Prof. Dr. Ferucio Laurentiu Tiplea
Guest Editor
Department of Computer Science, Alexandru Ioan Cuza University of Iasi, Iasi 700506, Romania
Interests: theories and tools for high-level modeling, design, and analysis of systems; cryptography and computer security; algebraic foundations of computer science

Special Issue Information

Quadratic and high-order residues have increasingly caught researchers’ attention due to their applications in computational number theory and especially in cryptography. Some of the fields where they have produced useful results are primality testing, pseudo-random generators, public-key cryptography, secure multiparty computation, etc. However, intense research is still needed to clarify various computational aspects and make them more efficient in cryptographic applications.

This Special Issue aims to bring together original contributions to the understanding of the computational aspects of quadratic and high-order residues and their applications in cryptography. Areas of interest include but by no means are restricted to:

  1. Efficient computation of high-order residues;
  2. Distribution of quadratic and high-order residues;
  3. Sums of residues and non-residues;
  4. Signed residues;
  5. High-order residuosity problem and its relations with other computationally hard problems;
  6. Applications in cryptography (pseudo-random generators, public-key cryptography, secure multi-party computation, signcrytion, etc.).

Prof. Dr. Ferucio Laurentiu Tiplea
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 papers will be 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. Mathematics is an international peer-reviewed open access semimonthly 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 1600 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.


  • quadratic residue
  • high-order residue
  • distribution of residue
  • residuosity problem
  • cryptography

Published Papers

This special issue is now open for submission.
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