6 papers
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…
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…
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 …
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 nu…
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…