8 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…