Applied Algebraic Methods in Cryptography
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: 31 July 2026 | Viewed by 16
Special Issue Editor
Special Issue Information
Dear Colleagues,
Applied algebraic methods play a central role in modern cryptography, providing the mathematical foundation for constructing secure communication systems and cryptographic protocols. Techniques from abstract algebra, such as group theory, ring theory, field theory, and algebraic geometry, enable the design and analysis of encryption schemes, digital signatures, and key exchange algorithms.
Classical public-key systems such as RSA and ElGamal rely on the number-theoretic properties of algebraic structures, while contemporary approaches such as elliptic curve cryptography (ECC) and lattice-based cryptography exploit more advanced algebraic frameworks to enhance efficiency and post-quantum security. Furthermore, algebraic tools are crucial for studying cryptographic hardness assumptions and developing algorithms to assess their resistance against attacks. This interplay between algebraic theory and computational practice not only deepens our understanding of cryptographic security but also drives innovation in emerging domains such as homomorphic encryption and zero-knowledge proofs.
This Special Issue will provide opportunities to publish research papers on cryptography using algebraic methods. Original research articles and reviews are welcome. Research subjects may include (but are not limited to) the following:
- Cryptanalysis of block and stream ciphers;
- Public key cryptography;
- Fully homographic encryption.
We look forward to receiving your contributions.
Dr. Janusz Szmidt
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 250 words) can be sent to the Editorial Office for assessment.
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 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
- public key cryptography
- cryptoanalysis of block and stream ciphers
- fully homomorphic encryption
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