3 papers
cs.CR2026
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…
cs.IT2025
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…
cs.CR2025
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…