journal: Journal of Mathematical Cryptology

Impact Factor: 1.2

Open Access Published since January 25, 2007

Journal of Mathematical Cryptology

ISSN: 1862-2984

Editor-in-chief: Massimiliano Sala

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About this journal

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CALL FOR SPECIAL ISSUE PROPOSALS

We invite groups of researchers, conference organizers and individual scholars to submit their proposals for Special Issues.

To submit your proposal, please, complete the Special Issue proposal form and send it to the Editorial Office - jmc_editorial@degruyter.com.

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Objective
Journal of Mathematical Cryptology is a forum for original research articles in the area of mathematical cryptology. JMC is a fully peer-reviewed, open access, electronic-only journal publishing works of wide significance, originality and relevance. Works in the theory of cryptology and articles linking mathematics with cryptology (including quantum cryptology) are welcome. Submissions from all areas of mathematics significant for cryptology are invited, including but not limited to, algebra, algebraic geometry, coding theory, combinatorics, number theory, probability and stochastic processes

The scope includes mathematical results of algorithmic or computational nature that are of interest to cryptology. While JMC does not cover information security as a whole, the submission of manuscripts on information security with a strong mathematical emphasis is explicitly encouraged.

Topics

Boolean functions
Elliptic curve cryptography
Mathematical cryptology
Information security
Quantum cryptology
Algebra
Algebraic geometry
Coding theory
Combinatorics and graph theory
Number theory
Probability and stochastic processes
Work linking math to cryptology
Work in the mathematical foundations of crypto
Theoretical aspects of cryptology
Mathematical foundations of cryptology

Article formats
Original research articles

Information on Submission Process

Your Benefits

Authors benefit from critical peer review and promotion of published papers to readers and citers.
The journal uses a continuous publication model - accepted manuscripts are published quickly after acceptance.
Thanks to Open Access, all articles are freely available to the academic community worldwide without any restrictions. Authors also benefit from more liberal policies on copyrights (authors retain copyright) and on self-archiving (no embargo periods).
The journal is archived in Portico.

Publication fees

From June 1, 2022, articles accepted for publication in the Journal of Mathematical Cryptology are subject to Article Processing Charges (APCs). The publication fee amounts to 1000 EUR. Authors who have no funding for the submitted research can request a waiver or a discount during the submission process. For more details please check Article Processing Charges.

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Supplementary Materials

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Volume 17 Issue 1

January 2023

Regular Articles

Open Access February 15, 2023

Plactic key agreement (insecure?)

Daniel R. L. Brown

Article number: 20220010

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Abstract

Plactic key agreement is a new type of cryptographic key agreement that uses Knuth’s multiplication of semistandard tableaux from combinatorial algebra. The security of plactic key agreement relies on the difficulty of some computational problems, particularly the division of semistandard tableaux. Tableau division can be used to find the private key from its public key or to find the shared secret from the two exchanged public keys. Monico found a fast division algorithm, which could be a polynomial time in the length of the tableaux. Monico’s algorithm solved a challenge that had been previously estimated to cost 2 128 steps to break, which is an infeasibly large number for any foreseeable computing power on earth. Monico’s algorithm solves this challenge in only a few minutes. Therefore, Monico’s attack likely makes the plactic key agreement insecure. If it were not for Monico’s attack, plactic key agreement with 1,000-byte public keys might perhaps have provided 128-bit security, with a runtime of a millisecond. But Monico’s attack breaks these public keys’ sizes in minutes.

Open Access February 20, 2023

Algebraic and quantum attacks on two digital signature schemes

Vitaly Roman’kov, Alexander Ushakov, Vladimir Shpilrain

Article number: 20220023

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Abstract

In this article, we analyze two digital signature schemes, proposed in Moldovyan et al., that use finite noncommutative associative algebras as underlying platforms. We prove that these schemes do not possess the claimed property of being quantum safe. We also show that in many cases these schemes are, in fact, vulnerable to “classical” algebraic cryptanalysis.

Open Access March 21, 2023

A construction of encryption protocols over some semidirect products

Shuji Isobe, Eisuke Koizumi

Article number: 20220018

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Abstract

In CANDARW ’18, Isobe et al. proposed a secure encryption protocol on non-abelian groups based on the Anshel–Anshel–Goldfeld key exchange protocol. There have remained two weak points on the protocol: one is that the protocol is indistinguishable against adaptive chosen ciphertext attack (IND-CCA) in a slightly restricted sense, what they call IND-rCCA secure, and the other is that the conditions imposed on groups and hashing schemes are too strict to make the protocol practical. In this article, we propose an IND-CCA secure protocol that resolves those problems. The key idea is to employ some specific semidirect product as platform groups, so that we can achieve the exact IND-CCA security from concise conditions on groups and hashing schemes. Our protocol is not dependent on any computational assumptions on abelian subgroups.

Open Access June 5, 2023

A code-based hybrid signcryption scheme

Jean Belo Klamti, M. Anwarul Hasan

Article number: 20220002

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Abstract

A key encapsulation mechanism ( KEM {\mathsf{KEM}} ) that takes as input an arbitrary string, i.e., a tag, is known as tag- KEM {\mathsf{KEM}} , while a scheme that combines signature and encryption is called signcryption. In this article, we present a code-based signcryption tag- KEM {\mathsf{KEM}} scheme. We utilize a code-based signature and an IND - CCA2 {\mathsf{IND}}\hspace{0.1em}\text{-}\hspace{0.1em}{\mathsf{CCA2}} (adaptive chosen ciphertext attack) secure version of McEliece’s encryption scheme. The proposed scheme uses an equivalent subcode as a public code for the receiver, making the NP-completeness of the subcode equivalence problem be one of our main security assumptions. We then base the signcryption tag- KEM {\mathsf{KEM}} to design a code-based hybrid signcryption scheme. A hybrid scheme deploys asymmetric- as well as symmetric-key encryption. We give security analyses of both our schemes in the standard model and prove that they are secure against IND - CCA2 {\mathsf{IND}}\hspace{0.1em}\text{-}\hspace{0.1em}{\mathsf{CCA2}} (indistinguishability under adaptive chosen ciphertext attack) and SUF - CMA {\mathsf{SUF}}\hspace{0.1em}\text{-}\hspace{0.1em}{\mathsf{CMA}} (strong existential unforgeability under chosen message attack).

Open Access June 30, 2023

Provable security against generic attacks on stream ciphers

Alexander Moch

Article number: 20220033

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Abstract

Recent lightweight hardware-based stream cipher designs keep an external non-volatile internal state that is not part of the cipher’s hardware module. The purpose of these so-called small-state ciphers is to keep the size of the hardware and the power consumption low. We propose a random oracle model for stream ciphers. This will allow us to analyse the recent small-state stream cipher designs’ resistance against generic attacks and, in particular, time-memory-data tradeoff attacks. We analyse the conventional construction underlying stream ciphers like Grain and Trivium, constructions continuously using the external non-volatile secret key during keystream generation like Sprout, Plantlet, Fruit, and Atom, constructions continuously using the external non-volatile IV, and constructions using a combination of the IV and the key like DRACO. We show the tightness of all bounds by first presenting the time-memory-data tradeoff attacks on the respective constructions, establishing the upper bound on security, and then presenting the proof of security to establish the lower bound on security. In this work, we extend the theoretical work done by Hamann et al. who introduced the DRACO stream cipher at FSE 2023. We use the same random oracle model as the aforementioned work and apply it to the earlier work by Hamann et al. presented at SAC 2019, which showed security for two of the four constructions we consider in this work. Our model is equivalent but allows for a much simpler proof of security. Furthermore, we provide a proof of security for stream ciphers continuously using the secret key during keystream generation, giving upper and lower bounds for all four generic stream cipher constructions proposed so far.

Volume 13 (2019)

Volume 12 (2018)

Volume 11 (2017)

Volume 10 (2016)

Volume 9 (2015)

Volume 8 (2014)

Volume 7 (2013)

Volume 6 (2012)

Volume 5 (2011)

Volume 4 (2010)

Volume 3 (2009)

Volume 2 (2008)

Volume 1 (2007)

Journal Impact Factor	1.2	2022, Journal Citation Reports (Clarivate, 2023)
5-year Journal Impact Factor	1.0	2022, Journal Citation Reports (Clarivate, 2023)
Journal Citation Indicator	0.23	2022, Journal Citation Reports (Clarivate, 2023)
CiteScore	1.7	2022, Scopus (Elsevier B.V., 2023)
SCImago Journal Rank	0.585	2022, SJR (Scimago Lab, 2023; Data Source: Scopus)
Source Normalized Impact per Paper	1.116	2022, CWTS Journal Indicators (CWTS B.V., 2023; Data Source: Scopus)
Mathematical Citation Quotient	0.35

More information about journal rankings

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Submission
Please submit to JMC via ScholarOne Manuscripts　

Your benefits of publishing with us

Authors benefit from critical peer review and promotion of published papers to readers and citers.
The journal uses a continuous publication model - accepted manuscripts are published quickly after acceptance.
Thanks to Open Access, all articles are freely available to the academic community worldwide without any restrictions. Authors also benefit from more liberal policies on copyrights (authors retain copyright) and on self-archiving (no embargo periods).
The journal is archived in Portico.

Submission process

Before submitting an article, please adhere to the Instructions for Authors (Supplementary Information)
Submission of your paper via ScholarOne Manuscripts
Peer review procedure
Decision on your paper
Publishing
You will be guided through the whole process of submission
In case of any problems editorial assistance will be provided

Please note

Before submitting your manuscript, please get familiar with Publication ethics and malpractice statement
Beginning from January 2020, JMC is publishing in the Open Access model
Online publication for all papers accepted after peer review
If you have any general questions please visit our FAQ page for authors

We look forward to receiving your manuscript!

EDITORIAL POLICY

Unpublished material
Submission of a manuscript implies that the work described is not copyrighted, published or submitted elsewhere, except in abstract form. The corresponding author should ensure that all authors approve the manuscript before its submission.

Conflict of interest
When authors submit a manuscript, they are responsible for recognizing and disclosing financial and/or other conflicts of interest that might bias their work and/or could inappropriately influence his/her judgment. If no specified acknowledgement is given, the Editors assume that no conflict of interest exists.

Copyright
All authors retain copyright, unless – due to their local circumstances – their work is not copyrighted. The copyrights are governed by the Creative-Commons Attribution Only license (CC-BY) which is compliant with Plan-S. We may also publish a paper under CC-BY-NC-ND license on author's request. The corresponding author grants the journal license for use of the article, by signing the License To Publish. Scanned copy of license should be sent to the journal, as soon as possible.

Authorship
Authorship should be limited to those who have made a significant contribution to the conception, design, execution, or interpretation of the reported study. All those who have made significant contributions should be listed as coauthors. Where there are others who have participated in certain substantive aspects of the research project, they should be named in an Acknowledgement section.

Peer Review process
The Editors reserve the right to decline the submitted manuscript without review, if the studies reported are not sufficiently novel or important to merit publication in the journal. Manuscripts deemed unsuitable (insufficient originality or of limited interest to the target audience) are returned to the author(s) without review. The Editor seeks advice from experts in the appropriate field. Research articles and communications are refereed by a minimum of two reviewers, review papers by at least three. The journal uses single-blind peer review model. Authors are requested to suggest persons competent to review their manuscript. However, please note that this will be treated only as a suggestion, and the final selection of reviewers is exclusively the Editor’s decision. Suggested reviewers must not include authors’ students, mentors, collaborators, or others who have conflicts of interest. The final decision of acceptance is made by the main Editor of the journal.

Data sharing policy
Effective January 2021, the journal requires authors to follow data sharing policy. Research data should be made widely available to the research community in order to demonstrate the robustness and validity of the research presented in the journal, to encourage replication of the results, and to provide the community with opportunities to learn. By publishing in the journal authors are required to provide a data availability statement (DAS) in their articles. Authors are encouraged to share their data but not required to. The decision to publish will not be affected by whether or not authors share their research data.

Scientific Misconduct
This journal publishes only original manuscripts that are not also published or going to be published elsewhere. Multiple submissions/publications, or redundant publications (re-packaging in different words of data already published by the same authors) will be rejected. If they are detected only after publication, the journal reserves the right to publish a Retraction Note. In each particular case Editors will follow COPE’s Code of Conduct and implement its advice.

Editorial

Editor-in-Chief
Massimiliano Sala, Department of Mathematics, University of Trento, Italy

Honorary Editor-in-Chief
Nicolas Courtois, University College London, UK

Editorial Advisory Board
Timothy J. Hodges, University of Cincinnati, USA
Wasim Alhamdani, School of Computer and Information Sciences, University of the Cumberlands, KY, USA
Lejla Batina, Institute for Computing and Information Sciences, Radboud University, The Netherlands
Joseph J. Boutros, Texas A&M University at Qatar, Doha, Qatar
Ray CC Cheung, City University of Hong Kong, Hong Kong
Bernardo David, IT-Universitetet i København, Copenhagen, Denmark
Roberto De Prisco, Università di Salerno, Salerno, Italy
Vipul Goyal, Carnegie Mellon University, Pittsburgh, USA
Shay Gueron, University of Haifa and Intel Corporation, Israel
Chunlei Li, Department of Informatics, University of Bergen, Norway
Carlos Aguilar Melchor, ISAE-SUPAERO, Toulouse University, France
Dominique Schröder, Department of Computer Science, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
Gil Segev, School of Computer Science and Engineering, Hebrew University of Jerusalem
Susanne Wetzel, Stevens Institute of Technology, Department of Computer Science, Castle Point on Hudson, USA
Øyvind Ytrehus, Simula UiB AS, Norway
Chao Zhang, School of Mathematics, Harbin Institute of Technology, China

Editorial Board
Boolean functions, symmetric cryptography and combinatorics
Robert Coulter, University of Delaware, USA
Daniel Panario, Carleton University, Canada
Cloud encryption
Ilaria Chillotti, Zama, France
Miran Kim, Hanyang University, South Korea
Romain Gay, IBM Research, Switzerland
Cryptographic protocols
Paolo D'Arco, University of Salerno, Italy
Pascal Lafourcade, University of Clermont Auvergne, France
Barbara Masucci, University of Salerno, Italy
Khoa Nguyen, University of Wollongong, Australia
Number theory and cryptography
Andrej Dujella, University of Zagreb, Croatia
Federico Pintore, University of Bari, Italy
Post-quantum cryptography
Delaram Kahrobaei, City University of New York, USA
Dmytro Savchuk, University of South Florida, USA
Vladimir Shpilrain, University of New York, USA
Quantum cryptography
Aysajan Abidin, KU Leuven, Belgium,
Other cryptographic functions and primitives
Wai Ho Mow, Hong Kong University of Science and Technology, Hong Kong
David Naccache, École Normale Supérieure, France
Jacques Patarin, University of Versailles, France
Jean-Jacques Quisquater, Université Catholique de Louvain (UCL), Belgium
Tamir Tassa, The Open University of Israel, Israel
Huaxiong Wang, Nanyang Technological University, Singapore

Editorial Contact
Kumaran Rengaswamy
Assistant Managing Editor, Compuscript
journal.editor@degruyter.com

Managing Editor
Monika Maleszka
Monika.Maleszka@degruyter.com

(Deutsch)

Type: Journal
Language: English
Publisher: De Gruyter
First published: January 25, 2007
Publication Frequency: 1 Issue per Year
Audience: All those interested in selected areas lying at the crossroads of mathematics and cryptology.