Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.
Simon Davis
In this paper: The contour integral representation of the number of Goldbach partitions of an even integer, G(n), is extended to an integral with a support function that equals a linear combination of integers {G(m)...
Abolape Deborah Akwu, Deborah Olayide A. Ajayi
In this paper: A total labeling is called edge-antimagic total (vertex-antimagic total) if all edge-weights (vertex-weights) are pairwise distinct. If a labeling is simultaneously edge-antimagic total and vertex-ant...
M. Mohseni Takallo, R. A. Borzooei, G. R. Rezaei, Y. B. Jun
In this paper: The notions of a (limited) T & F-ideal and a T & F--subalgebra are introduced, and various properties are investigated. The relationship between a T & F-subalgebra and a T & F-ideal is established. Co...
Lakhdar Heboub, Douadi Mihoubi
In this paper: In this paper, we compute the maximal and minimal codes of length 2p over finite fields Fq with p and q are distinct odd primes and f(p) = p – 1 is the multiplicative order of q modulo 2p. We show...
Bilel Selikh, Abdelhakim Chillali, Douadi Mihoubi, Nacer Ghadbane
In this paper: In this paper, we present a new public cryptosystem based on one of the most problems (word problem, solving a non-linear system problem, integer factorization problem and discrete logarithm problem,...
J. Chimpanzo, P. Catarino, P. Vasco, A. Borges
In this paper: In this article bidimensional extensions of balancing and Lucas-balancing numbers are introduced, as well as some properties of these new bidimensional sequences.
Gülsüm Yeliz Şentürk, Nurten Gürses
In this paper: Knowing the applications of quaternions in various fields, such as robotics, navigation, computer visualization and animation, in this study, we give the theory of dual quaternions considering Hyperbo...
Rajitha Ranasinghe, Madusha Chathurangi, Pabasara Athukorala
In this paper: In this study, we propose a new cryptographic scheme based on the textbook RSA algorithm associating the concept of continued fractions. The algorithm is designed under the three primary steps of key...
Sami Omar, Abdulla Eid
In this paper: In this paper, we present a new Vernam-like cryptosystem based on the L-functions attached to elliptic curves. Actually, we show that for infinitely many elliptic curves, the coefficients of the L-ser...
Giuseppe D’Alconzo, Alessio Meneghetti, Paolo Piasenti
In this paper: We analyze the security of some variants of the CFS code-based digital signature scheme. We show how the adoption of some code-based hash functions to improve the efficiency of CFS leads to the abilit...
Habibul Islam, Om Prakash, Dipak Kumar Bhunia
In this paper: Let Fp be the finite field of order p and M3(Fp) the ring of 3 × 3 matrices over Fp, where p is a prime. For certain prime p, we determine the complete algebraic properties of cyclic codes of len...
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