4 citations · 10 across the 8 of their papers we have counts for
8 papers
On the Additive FFT Techniques over Binary Extension Fields
Susanta Samanta, Mohammadtaghi Badakhshan, Guang Gong
Motivated by Bailey's four-step FFT algorithm (1989), we develop additive FFT techniques for polynomial evaluation over affine subspaces of binary extension fields. Our key insight…
Analyzing Linear Layers in Related-Differential Cryptanalysis
Yogesh Kumar, Akshay Ankush Yadav, Susanta Samanta
In AES-like ciphers, diffusion layers are commonly instantiated using MDS matrices, since their optimal branch number yields strong diffusion guarantees and underpins classical res…
Quasi-recursive MDS Matrices over Galois Rings
Shakir Ali, Atif Ahmad Khan, Abhishek Kesarwani +1
Let be a prime and be positive integers. This paper studies quasi-recursive MDS matrices over Galois rings and proposes various direct construction…
New Insights into Involutory and Orthogonal MDS Matrices
Yogesh Kumar, Susanta Samanta, Atul Gaur
MDS matrices play a critical role in the design of diffusion layers for block ciphers and hash functions due to their optimal branch number. Involutory and orthogonal MDS matrices…
A New Algorithm for Computing Branch Number of Non-Singular Matrices over Finite Fields
P. R. Mishra, Yogesh Kumar, Susanta Samanta +1
The notion of branch numbers of a linear transformation is crucial for both linear and differential cryptanalysis. The number of non-zero elements in a state difference or linear m…
A Systematic Construction Approach for All Involutory MDS Matrices
Yogesh Kumar, P. R. Mishra, Susanta Samanta +1
Maximum distance separable (MDS) matrices play a crucial role not only in coding theory but also in the design of block ciphers and hash functions. Of particular interest are invol…
Construction of all MDS and involutory MDS matrices
Yogesh Kumar, P. R. Mishra, Susanta Samanta +2
In this paper, we propose two algorithms for a hybrid construction of all MDS and involutory MDS matrices over a finite field , respectively. The prop…
On the Counting of Involutory MDS Matrices
Susanta Samanta
The optimal branch number of MDS matrices has established their importance in designing diffusion layers for various block ciphers and hash functions. As a result, numerous matrix…