5 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…
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…
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…
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…