TARU PUBLICATIONS
Journal of Discrete Mathematical Sciences and Cryptography cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Volume 26·Issue 1·February 2021·19 Articles

Volume 26, Issue 1

Articles

Open Access Research Article·pp. 1–10·Vol. 26, Issue 1Feb 2021

On the partition dimension of directed circulant graphs

Elizabeth C. M. Maritz, Tomáš Vetrík

Published Online: 04 Feb 2021DOI: 10.1080/09720529.2019.1694739

In this paper: The directed circulant graph Cn(1, 2, … , t) consists of the vertices v0 , v1 , … , vn-1 and edges directed from vi to vi+j for every i = 0, 1, … , n – 1, and j = 1, 2, … , t, where 1 ≤ t ≤ n – 1, the...

AbstractReferencesFull Text PDF (184 KB)Views: 292Downloads: 108Citations: 0
Open Access Research Article·pp. 29–46·Vol. 26, Issue 1Feb 2021

Implicative equality algebras and annihilators in equality algebras

M. Aaly Kologani, M. Mohseni Takallo, R. A. Borzooei, Y. B. Jun

Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1876293

In this paper: In this paper, the concept of an implicative equality algebra is defined and related properties are investigated. Characterizations of an implicative equality algebra and the relation among implicativ...

AbstractReferencesFull Text PDF (275 KB)Views: 241Downloads: 112Citations: 1
Open Access Research Article·pp. 47–66·Vol. 26, Issue 1Feb 2021

Congruence relations on pseudocomplemented almost distributive lattices

Gezahagne Mulat Addis

Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1892318

In this paper: The concept of congruence kernels and congruence cokernels are studied in pseudocomplemented almost distributive lattices. A set of equivalent conditions are derived for a given subset J of a pseudoco...

AbstractReferencesFull Text PDF (328 KB)Views: 186Downloads: 105Citations: 0
Open Access Research Article·pp. 67–86·Vol. 26, Issue 1Feb 2021

A study of the holomorphy of (r, s, t)-inverse loops

Y. T. Oyebo, T. G. Jaiyéọlá, J. O. Adéníran

Published Online: 14 Nov 2021DOI: 10.1080/09720529.2021.1885810

In this paper: In this paper, the holomorphic study of inverse properties in loops is put in a more general setting. For various combinations of r, s, t ∈ ℤ in parities, it was established that: (i) the A(Q)-holomor...

AbstractReferencesFull Text PDF (283 KB)Views: 167Downloads: 206Citations: 1
Open Access Research Article·pp. 87–101·Vol. 26, Issue 1Feb 2021

Computing certain topological indices of thorny graphs

Seyyedeh Tahereh Jalali, Masoud Ghods

Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1914426

In this paper: The topological index has transformed the chemical structure into a numeric number and they make a connection between chemistry and mathematics. In this paper, we compute some certain topological indi...

AbstractReferencesFull Text PDF (200 KB)Views: 245Downloads: 123Citations: 0
Open Access Research Article·pp. 103–114·Vol. 26, Issue 1Feb 2021

New McEliece cryptosystem based on non-permutation equivalent polar codes

Belkacem Imine, Naima Hadj-Said, Adda Ali-Pacha

Published Online: 02 Aug 2021DOI: 10.1080/09720529.2021.1933706

In this paper: In this paper, we propose a new McEliece public-key cryptosystem based on polar codes with non-permutation equivalent. Due to the fact that polar code is a decreasing monomial code, any permutation of...

AbstractReferencesFull Text PDF (159 KB)Views: 241Downloads: 113Citations: 0
Open Access Research Article·pp. 115–120·Vol. 26, Issue 1Feb 2021

Exponent of cyclic codes over 

N. Annamalai, Durairajan Chinnapillai

Published Online: 02 Aug 2021DOI: 10.1080/09720529.2021.1933707

In this paper: In this paper, we introduce the exponent of a cyclic code over the finite field  with q = pm elements. Also, we prove that the exponent of the dual of cyclic code satisfies the condition n = lcm(e, r)...

AbstractReferencesFull Text PDF (165 KB)Views: 161Downloads: 114Citations: 0
Open Access Research Article·pp. 121–138·Vol. 26, Issue 1Feb 2021

A new ideal secret sharing scheme based on a tree

Ghanem Meriem, Sadek Bouroubi

Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1923920

In this paper: One of the methods used in order to protect a secret K is a secret sharing scheme. In this method, the secret K is distributed among a finite set of participants P by a special participant called the ...

AbstractReferencesFull Text PDF (238 KB)Views: 236Downloads: 139Citations: 0
Open Access Research Article·pp. 139–152·Vol. 26, Issue 1Feb 2021

On the use of Egyptian fractions for stream ciphers

I. Cherkaoui, F. Zinoun

Published Online: 14 Nov 2021DOI: 10.1080/09720529.2021.1923921

In this paper: Within the scope of the mutual interference between modern number theory and chaos-based cryptography, and as it is well-known and already explored for the decimal or the continued fraction expansion...

AbstractReferencesFull Text PDF (1.9 MB)Views: 171Downloads: 96Citations: 1
Open Access Research Article·pp. 153–173·Vol. 26, Issue 1Feb 2021

Dependency of lightweight block ciphers over S-boxes: A deep learning based analysis

Girish Mishra, S. V. S. S. N. V. G. Krishna Murthy, S. K. Pal

Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1932889

In this paper: Lightweight ciphers have been proposed from time to time to tackle various usage issues in IoT (Internet of Things) scenario. PRESENT and DoT are two such ciphers. PRESENT has been a benchmark cipher...

AbstractReferencesFull Text PDF (3.4 MB)Views: 238Downloads: 96Citations: 2
Open Access Research Article·pp. 191–205·Vol. 26, Issue 1Feb 2021

Secret sharing scheme based on Latin squares

Pithani Ashwini, V. Ch. Venkaiah, Wilson Naik Bhukya

Published Online: 27 Oct 2021DOI: 10.1080/09720529.2021.1925447

In this paper: Secret sharing is a method of distributing a secret among a group of participants such that if (i) an authorized set of participants cooperate, then they can reconstruct the secret and (ii) an unautho...

AbstractReferencesFull Text PDF (196 KB)Views: 207Downloads: 107Citations: 1
Open Access Research Article·pp. 207–214·Vol. 26, Issue 1Feb 2021

A connection between fuzzy Γ-hypergroups and Γ -groups

N. Firouzkouhi

Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1930651

In this paper: By applying the notion of fuzzy Γ -hypergroups, we demonstrate that the defined equivalence relation ϵ is the smallest fuzzy strongly regular relation and the quotient H / ϵ* is a Γ / β* -group. Espec...

AbstractReferencesFull Text PDF (205 KB)Views: 130Downloads: 95Citations: 0
Open Access Research Article·pp. 215–229·Vol. 26, Issue 1Feb 2021

Increasing security to public key cryptography for point-to-point communication

Kritsanapong Somsuk, Chalida Sanemueang

Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1930656

In this paper: In the beginning of 2020, the new idea of public key cryptography was proposed. This method is from the combining between RSA and Chebyshev maps. It is very difficult to break this system because it i...

AbstractReferencesFull Text PDF (230 KB)Views: 233Downloads: 98Citations: 2
Open Access Research Article·pp. 231–253·Vol. 26, Issue 1Feb 2021

A note on eccentricity based topological indices of honeycomb, oxide and 2-power interconnection networks

G. Kirithiga Nandini, Sandi Klavžar, T. M. Rajalaxmi, R. Sundara Rajan

Published Online: 15 Nov 2021DOI: 10.1080/09720529.2021.1935095

In this paper: In a series of papers, Imran et al. reported the total eccentricity index, the average eccentricity index, the eccentricity-based Zagreb indices, the atom-bond connectivity index, and the geometric ar...

AbstractReferencesFull Text PDF (497 KB)Views: 280Downloads: 114Citations: 0
Open Access Research Article·pp. 281–302·Vol. 26, Issue 1Feb 2021

Sharp upper bounds on forgotten and SK indices of cactus graph

Ammar Alsinai, Hafiz Mutee ur Rehman, Yasir Manzoor, Murat Cancan, Ziyattin Taş, Moahmmad Reza Farahani

Published Online: 24 Feb 2022DOI: 10.1080/09720529.2022.2027605

In this paper: Sheehalli and Kanabur presented new forms of topological indices known as SK indices which have many applications in chemical graph theory towards QSPR/QSAR. A simple connected graph Γ is called a cac...

AbstractReferencesFull Text PDF (676 KB)Views: 256Downloads: 101Citations: 2