12 papers
Quadratic Residue Codes over
Tapas Chatterjee, Priya Jain
In this paper, we construct a special family of cyclic codes, known as quadratic residue codes of prime length \( p \equiv \pm 1 \pmod{44} ,\) \( p \equiv \pm 5 \pmod{44} ,\) \( p…
Special values of derivatives of certain -functions
Tapas Chatterjee, Sonika Dhillon
In this paper we address the question of non-vanishing of where is an algebraic valued periodic function. In 2011, Gun, Murty and Rath studied the nature of special v…
On characterization of prime divisors of the index of a quadrinomial
Tapas Chatterjee, Karishan Kumar
Let be an algebraic integer and be the minimal polynomial of over the rationals. Let be a number field and be…
On characterization of Monogenic number fields associated with certain quadrinomials and its applications
Tapas Chatterjee, Karishan Kumar
Let be the minimal polynomial of an algebraic integer over the rationals with certain conditions on and Let be a numb…
A note on MDS Property of Circulant Matrices
Tapas Chatterjee, Ayantika Laha
In , Gupta and Ray proved that the circulant involutory matrices over the finite field can not be maximum distance separable (MDS). This non-existence also…
On MDS Property of g-Circulant Matrices
Tapas Chatterjee, Ayantika Laha
Circulant Maximum Distance Separable (MDS) matrices have gained significant importance due to their applications in the diffusion layer of the AES block cipher. In , Gupta an…
A note on cyclic MDS and non-MDS matrices
Tapas Chatterjee, Ayantika Laha
In Daemen {\it{ et al.}} introduced a circulant Maximum Distance Separable (MDS) matrix in the diffusion layer of the Rijndael block cipher, drawing significant attention t…
A Characterization of Semi-Involutory MDS Matrices
Tapas Chatterjee, Ayantika Laha
In symmetric cryptography, maximum distance separable (MDS) matrices with computationally simple inverses have wide applications. Many block ciphers like AES, SQUARE, SHARK, and ha…
Linear independence of -analogue of the generalized Stieltjes constants over number fields
Tapas Chatterjee, Sonam Garg
In this article, we aim to extend the research conducted by Chatterjee and Garg in 2024, particularly focusing on the -analogue of the generalized Stieltjes constants. These con…
On arithmetic nature of -analogue of the generalized Stieltjes constants
Tapas Chatterjee, Sonam Garg
In this article, our aim is to extend the research conducted by Kurokawa and Wakayama in 2003, particularly focusing on the -analogue of the Hurwitz zeta function. Our specific…
Transcendental nature of -adic digamma values
Tapas Chatterjee, Sonam Garg
For a fixed prime , Murty and Saradha (2008) studied the transcendental nature of special values of the -adic digamma function, denoted as . This research was…
Algebraic identities among - analogue of Euler double zeta values
Tapas Chatterjee, Sonam Garg
In 2003, Zudilin presented a -analogue of Euler's identity for one of the variants of -double zeta function. This article focuses on exploring identities related to another v…